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mso-ansi-language:ES; mso-fareast-language:ES;} p.MsoCommentSubject, li.MsoCommentSubject, div.MsoCommentSubject {mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:"Texto comentario"; mso-style-link:"Asunto del comentario Car"; mso-style-next:"Texto comentario"; margin-top:0cm; margin-right:0cm; margin-bottom:8.0pt; margin-left:0cm; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES; mso-fareast-language:EN-US; font-weight:bold;} p.MsoAcetate, li.MsoAcetate, div.MsoAcetate {mso-style-noshow:yes; mso-style-priority:99; mso-style-link:"Texto de globo Car"; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:9.0pt; font-family:"Times New 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mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES; mso-fareast-language:EN-US;} p.MsoListParagraphCxSpMiddle, li.MsoListParagraphCxSpMiddle, div.MsoListParagraphCxSpMiddle {mso-style-priority:34; mso-style-unhide:no; mso-style-qformat:yes; mso-style-type:export-only; margin-top:0cm; margin-right:0cm; margin-bottom:0cm; margin-left:36.0pt; margin-bottom:.0001pt; mso-add-space:auto; line-height:106%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES; mso-fareast-language:EN-US;} p.MsoListParagraphCxSpLast, li.MsoListParagraphCxSpLast, div.MsoListParagraphCxSpLast {mso-style-priority:34; mso-style-unhide:no; mso-style-qformat:yes; mso-style-type:export-only; margin-top:0cm; margin-right:0cm; margin-bottom:8.0pt; margin-left:36.0pt; mso-add-space:auto; line-height:106%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES; mso-fareast-language:EN-US;} span.MsoBookTitle {mso-style-priority:33; mso-style-unhide:no; mso-style-qformat:yes; letter-spacing:.25pt; font-weight:bold; font-style:italic;} p.MsoBibliography, li.MsoBibliography, div.MsoBibliography {mso-style-priority:37; mso-style-next:Normal; margin-top:0cm; margin-right:0cm; margin-bottom:8.0pt; margin-left:0cm; line-height:106%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES; mso-fareast-language:EN-US;} span.Ttulo1Car {mso-style-name:"Ttulo 1 Car"; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Ttulo 1"; mso-ansi-font-size:24.0pt; mso-bidi-font-size:24.0pt; font-family:"Times New Roman",serif; mso-ascii-font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"; mso-font-kerning:18.0pt; mso-fareast-language:ES; font-weight:bold;} span.Ttulo3Car {mso-style-name:"Ttulo 3 Car"; mso-style-noshow:yes; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Ttulo 3"; mso-ansi-font-size:12.0pt; mso-bidi-font-size:12.0pt; font-family:"Calibri Light",sans-serif; mso-ascii-font-family:"Calibri Light"; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"MS Gothic"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:"Calibri Light"; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#1F4D78; mso-themecolor:accent1; mso-themeshade:127;} span.Ttulo4Car {mso-style-name:"Ttulo 4 Car"; mso-style-noshow:yes; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Ttulo 4"; font-family:"Calibri Light",sans-serif; mso-ascii-font-family:"Calibri Light"; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"MS Gothic"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:"Calibri Light"; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#2E74B5; mso-themecolor:accent1; mso-themeshade:191; font-style:italic;} span.HTMLconformatoprevioCar {mso-style-name:"HTML con formato previo Car"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"HTML con formato previo"; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt; font-family:"Courier New"; mso-ascii-font-family:"Courier New"; mso-fareast-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New"; mso-bidi-font-family:"Courier New"; mso-fareast-language:ES;} p.msonormal0, li.msonormal0, div.msonormal0 {mso-style-name:msonormal; mso-style-priority:99; mso-style-unhide:no; mso-margin-top-alt:auto; margin-right:0cm; mso-margin-bottom-alt:auto; margin-left:0cm; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;} span.TextonotapieCar {mso-style-name:"Texto nota pie Car"; mso-style-noshow:yes; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Texto nota pie"; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt; font-family:"Times New Roman",serif; mso-ascii-font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"; mso-ansi-language:EN-US;} span.TextocomentarioCar {mso-style-name:"Texto comentario Car"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Texto comentario"; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;} span.EncabezadoCar {mso-style-name:"Encabezado Car"; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:Encabezado;} span.PiedepginaCar {mso-style-name:"Pie de pgina Car"; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Pie de pgina";} span.AsuntodelcomentarioCar {mso-style-name:"Asunto del comentario Car"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-parent:"Texto comentario Car"; mso-style-link:"Asunto del comentario"; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt; font-weight:bold;} span.TextodegloboCar {mso-style-name:"Texto de globo Car"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Texto de globo"; mso-ansi-font-size:9.0pt; mso-bidi-font-size:9.0pt; font-family:"Times New Roman",serif; mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";} span.SinespaciadoCar {mso-style-name:"Sin espaciado Car"; mso-style-priority:1; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Sin espaciado"; font-family:"MS Mincho"; mso-ascii-font-family:"MS Mincho"; mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:"MS Mincho"; mso-fareast-language:ES;} p.xmsonormal, li.xmsonormal, div.xmsonormal {mso-style-name:x_msonormal; 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font-size:10.0pt; font-family:"Arial",sans-serif; mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"; mso-ansi-language:X-NONE; mso-fareast-language:X-NONE;} span.Mencinsinresolver1 {mso-style-name:"Mencin sin resolver1"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; color:#605E5C; background:#E1DFDD;} span.contentline-92 {mso-style-name:contentline-92; mso-style-unhide:no;} span.Cuadrculadetablaclara1 {mso-style-name:"Cuadrcula de tabla clara1"; mso-style-priority:32; mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; font-variant:small-caps; color:#CCAF0A; letter-spacing:.25pt; font-weight:bold; text-decoration:underline; text-underline:single;} span.Mencinsinresolver2 {mso-style-name:"Mencin sin resolver2"; mso-style-priority:99; mso-style-unhide:no; color:#605E5C; background:#E1DFDD;} span.Tablanormal31 {mso-style-name:"Tabla normal 31"; mso-style-priority:19; mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; color:gray; font-style:italic;} p.font8, li.font8, div.font8 {mso-style-name:font_8; mso-style-unhide:no; mso-margin-top-alt:auto; margin-right:0cm; mso-margin-bottom-alt:auto; margin-left:0cm; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES-EC; mso-fareast-language:ES-EC;} span.Ttulo2Car {mso-style-name:"Ttulo 2 Car"; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Ttulo 2"; mso-ansi-font-size:13.0pt; mso-bidi-font-size:13.0pt; font-family:"Calibri Light",sans-serif; mso-ascii-font-family:"Calibri Light"; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"MS Gothic"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:"Calibri Light"; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#2E74B5; mso-themecolor:accent1; mso-themeshade:191;} span.SpellE 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mso-tstyle-border-right-themecolor:text1; mso-tstyle-border-right-themetint:128;} table.Tablanormal21OddRow {mso-style-name:"Tabla normal 21"; mso-table-condition:odd-row; mso-style-priority:99; mso-style-unhide:no; mso-tstyle-border-top:.5pt solid #7F7F7F; mso-tstyle-border-top-themecolor:text1; mso-tstyle-border-top-themetint:128; mso-tstyle-border-bottom:.5pt solid #7F7F7F; mso-tstyle-border-bottom-themecolor:text1; mso-tstyle-border-bottom-themetint:128;} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="2053"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=ES-EC link="#0563C1" vlink="#954F72" style='tab-interval:35.4pt'> <div class=WordSection1> <p class=MsoNormal align=center style='text-align:center'><a name="_Toc274847643"><b><span style='font-size:20.0pt;line-height:106%; mso-bidi-font-family:Calibri;color:black;background:white;mso-ansi-language: ES-EC'>Evaluacin de estrs en la generacin de enfermedades laborales</span></b></a><span style='mso-bookmark:_Toc274847643'></span><a style='mso-footnote-id:ftn1' href="#_ftn1" name="_ftnref1" title=""><span style='mso-bookmark:_Toc274847643'><span class=MsoFootnoteReference><b><span lang=ES style='font-size:20.0pt;line-height: 106%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font:major-latin; mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin'><span style='mso-special-character:footnote'><![if !supportFootnotes]><span class=MsoFootnoteReference><b style='mso-bidi-font-weight:normal'><span lang=ES style='font-size:20.0pt;line-height:106%;font-family:"Calibri Light",sans-serif; mso-ascii-theme-font:major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-language:AR-SA'>[1]</span></b></span><![endif]></span></span></b></span></span></a><span style='mso-bookmark:_Toc274847643'><b><span style='font-size:20.0pt;line-height: 106%;mso-bidi-font-family:Calibri;color:black;background:white;mso-ansi-language: ES-EC'><o:p></o:p></span></b></span></p> <p class=MsoNormal align=center style='margin-bottom:0cm;margin-bottom:.0001pt; text-align:center;line-height:normal;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; background:white'><span style='mso-bookmark:_Toc274847643'><span lang=EN-US style='mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;color:black; mso-color-alt:windowtext;mso-ansi-language:EN-US;mso-bidi-font-weight:bold'>Stress assessment in the generation of occupational diseases</span></span><span style='mso-bookmark:_Toc274847643'><span lang=EN-US style='mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:EN-US;mso-bidi-font-weight: bold'><o:p></o:p></span></span></p> <p class=ANGLES align=center style='margin:0cm;margin-bottom:.0001pt; text-align:center;line-height:150%'><span style='mso-bookmark:_Toc274847643'><span lang=EN-US style='font-size:11.0pt;line-height:150%;font-family:"Calibri",sans-serif; mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></span></p> <p class=ANGLES align=center style='margin:0cm;margin-bottom:.0001pt; text-align:center;line-height:150%'><span style='mso-bookmark:_Toc274847643'><span class=SpellE><span lang=ES style='mso-bidi-font-size:11.0pt;line-height:150%; font-family:"Calibri Light",sans-serif;mso-ascii-theme-font:major-latin; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font: major-latin;mso-bidi-font-family:"Calibri Light";mso-bidi-theme-font:major-latin; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-font-weight:bold'>Franyelit</span></span></span><span style='mso-bookmark:_Toc274847643'><span lang=ES style='mso-bidi-font-size: 11.0pt;line-height:150%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font: major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-font-weight:bold'> Mara Surez Carreo</span></span><a style='mso-footnote-id:ftn2' href="#_ftn2" name="_ftnref2" title=""><span style='mso-bookmark:_Toc274847643'><span class=MsoFootnoteReference><span lang=ES style='mso-bidi-font-size:11.0pt;line-height:150%;font-family:"Calibri Light",sans-serif; mso-ascii-theme-font:major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-font-weight:bold'><span style='mso-special-character:footnote'><![if !supportFootnotes]><span class=MsoFootnoteReference><span lang=ES style='font-size:10.0pt;mso-bidi-font-size: 11.0pt;line-height:106%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font: major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-language:AR-SA;mso-bidi-font-weight:bold'>[2]</span></span><![endif]></span></span></span></span></a><span style='mso-bookmark:_Toc274847643'><span lang=ES style='mso-bidi-font-size: 11.0pt;line-height:150%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font: major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-font-weight:bold'><o:p></o:p></span></span></p> <p class=ANGLES align=center style='margin:0cm;margin-bottom:.0001pt; text-align:center;line-height:150%'><span style='mso-bookmark:_Toc274847643'><span lang=ES style='mso-bidi-font-size:11.0pt;line-height:150%;font-family:"Calibri Light",sans-serif; mso-ascii-theme-font:major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-font-weight:bold'>Luis Dionisio Rosales</span></span><span style='mso-bookmark:_Toc274847643'></span><a style='mso-footnote-id:ftn3' href="#_ftn3" name="_ftnref3" title=""><span style='mso-bookmark:_Toc274847643'><span class=MsoFootnoteReference><span style='mso-bidi-font-size:11.0pt;line-height: 150%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font:major-latin; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font: major-latin;mso-bidi-font-family:"Calibri Light";mso-bidi-theme-font:major-latin; mso-ansi-language:ES-EC;mso-fareast-language:EN-US;mso-bidi-font-weight:bold'>3</span></span></span></a><span style='mso-bookmark:_Toc274847643'><span style='mso-bidi-font-size:11.0pt; line-height:150%;font-family:"Calibri Light",sans-serif;mso-ascii-theme-font: major-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; mso-hansi-theme-font:major-latin;mso-bidi-font-family:"Calibri Light"; mso-bidi-theme-font:major-latin;mso-ansi-language:ES-EC;mso-fareast-language: EN-US;mso-bidi-font-weight:bold'><o:p></o:p></span></span></p> <span style='mso-bookmark:_Toc274847643'></span> <p class=MsoNormal align=center style='margin-bottom:0cm;margin-bottom:.0001pt; text-align:center;line-height:normal'><span lang=ES style='font-size:10.0pt; mso-bidi-font-family:Tahoma;color:black;mso-bidi-font-weight:bold'>Recibido en 2 de septiembre 2018, aceptado en 13 abril 2019</span><span lang=ES style='font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Calibri Light",sans-serif; mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin;mso-bidi-font-family: "Calibri Light";mso-bidi-theme-font:major-latin;mso-bidi-font-weight:bold'><o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;line-height:normal'><b><span lang=ES-TRAD style='font-size: 10.0pt;mso-bidi-font-size:12.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language: ES-TRAD;mso-fareast-language:ES'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;line-height:normal'><b><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES'>RESUMEN<o:p></o:p></span></b></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; background:white'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;color:black; mso-color-alt:windowtext;mso-ansi-language:ES-EC;mso-fareast-language:ES; mso-bidi-font-weight:bold'>Introduccin Se hace una revisin<span style='mso-spacerun:yes'> </span>del estrs laboral, su simulacin y los mtodos usados para su deteccin. Se presenta una comparacin de los espectros de voz, respiracin y pulso con morfologas del rostro y se resaltan los principales esfuerzos tecnolgicos realizados por dcadas para detectar los estados de nimo, los cuales se reflejan en el estrs.<span style='mso-spacerun:yes'> </span>Objetivo<span style='mso-spacerun:yes'> </span>Verificar las ecuaciones dinmicas del estrs y con ellas desarrollar un sistema que permita reconocer la presencia de estrs y categorizar su estado. Materiales y mtodos . Se especifican los mtodos numricos usados en su simulacin, haciendo nfasis en las tcnicas de computacin inteligente utilizadas en aos recientes.<span style='mso-spacerun:yes'> </span>Se evala un sistema dinmico del estrs y se calcula numricamente su impacto en el desarrollo de enfermedades laborales. Se resuelven las ecuaciones diferenciales autnomas no lineales determinadas por aproximacin lineal, donde los valores propios de la matriz jacobiana son evaluados en los puntos de equilibrio que definen la estabilidad. Se evalan las variables asociadas al estrs en un sistema informtico, que permite el registro y evaluacin de pacientes.<span style='mso-spacerun:yes'> </span>Resultados Entre los resultados obtenidos se menciona el incremento de las posibilidades de enfermedad con el incremento del estrs presentado en las personas, lo cual resulta totalmente concordante con lo presentado en las seales EKG, que se ven afectadas considerablemente ante situaciones estresantes. Discusin: Se evalan los puntos crticos como elementos representativos del estrs y el estresor, logrando conseguir una relacin estrecha entre los mismos. Conclusiones: fue posible concluir que la presencia continua de estresores puede conducir a situaciones importantes de salud, con repercusiones en el estado emocional de las personas, en las relaciones sociales y en su desempeo laboral.</span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold'><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt'><b><i><span style='mso-ansi-language:ES-EC'>Palabras clave:</span></i></b><span style='mso-ansi-language:ES-EC'> Estrs laboral, computacin inteligente, Simulacin.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;line-height:normal'><b><span lang=EN-US style='font-size:10.0pt; mso-bidi-font-size:12.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:EN-US;mso-fareast-language: ES'>ABSTRACT<o:p></o:p></span></b></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span lang=EN-US style='mso-ansi-language:EN-US'>Introduction : A review of work stress, its simulation and the methods used for its detection is made. A comparison of the speech, respiration and pulse spectra with face morphologies is presented, highlighting the main technological efforts made over decades to detect mood states, which are reflected in stress. Objective: Verify the dynamic equations of stress and with them develop a system that allows to recognize the presence of stress and categorize its state. Materials and methods: The numerical methods used in its simulation are specified, emphasizing the intelligent computing techniques used in recent years. A dynamic stress system is evaluated and its impact on the development of occupational diseases is calculated numerically. The independent non-linear differential equations determined by linear approximation are solved, where the eigenvalues of the Jacobian matrix are evaluated in the points of equilibrium that define the stability. The variables associated with stress are evaluated in a computer system, which allows the registration and evaluation of patients. Results: Among the results obtained, the increase in the possibilities of illness is mentioned with the increase of the stress presented in the people, which is totally concordant with the presented in the EKG signals, which are considerably affected in stressful situations. Discussion: Critical points are evaluated as representative elements of stress and stressor, achieving a close relationship between them. Conclusions: It was possible to conclude that the continuous presence of stressors can lead to important health situations, with repercussions on the emotional state of the people, in social relationships and in their work performance.<o:p></o:p></span></p> <h2><b><i style='mso-bidi-font-style:normal'><span lang=EN style='mso-bidi-font-size: 12.0pt;line-height:106%;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;color:windowtext;mso-ansi-language: EN;mso-fareast-language:ES'>key words</span></i></b><span lang=EN-US style='font-size:10.0pt;line-height:106%;color:windowtext;mso-ansi-language: EN-US'>: </span><span lang=EN-US style='font-size:11.0pt;line-height:106%; font-family:"Calibri",sans-serif;color:windowtext;mso-ansi-language:EN-US'>Work stress / intelligent computing / Simulation.<b><o:p></o:p></b></span></h2> <p class=MsoListParagraph style='margin-top:6.0pt;margin-right:0cm;margin-bottom: 6.0pt;margin-left:38.65pt;mso-add-space:auto;text-align:justify;text-indent: -18.0pt;line-height:normal;tab-stops:66.45pt'><b><span style='font-size:16.0pt; mso-bidi-font-size:12.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES'>1. Introduccin<o:p></o:p></span></b></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>En medicina, el estrs o sndrome general de adaptacin, es visto como una preocupacin por parte de la Organizacin Mundial de la Salud (OMS) (Alcntara Moreno, 2008), quienes definen el estrs laboral como la reaccin que puede tener el individuo ante exigencias y presiones laborales. Estas exigencias pueden variar de un individuo a otro, ya que se ven afectadas por la cultura, el nivel acadmico, las habilidades individuales, el entorno y las concepciones primarias de la persona desde su formacin. La deteccin del estrs ocup a gran parte de la comunidad mdica, de tal forma que se lograron avances significativos para su inclusin y reconocimiento como enfermedad ocupacional en 1950 (Slipak, 1991). <o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Segn (Alcntara Moreno, 2008), (Slipak, 1991), (Comercio, 2019) el estrs laboral es el nico riesgo ocupacional capaz de afectar al 100% de la poblacin. Por tanto es catalogado como una epidemia. El estrs es una enfermedad que Hans Selye predijo en 1930 en el contexto mdico. Las personas experimentan situaciones de ansiedad, astenia y desnimo general, llamado en un principio el sndrome de estar enfermo. Estas observaciones estuvieron presentes en pacientes de distintas enfermedades y de distintas caractersticas fsicas y psicolgicas. <o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Los experimentos clnicos continuaron hasta la dcada de los 50, cuando la psicologa lo adopta como el conjunto de caractersticas psicofisiolgicas y lo denomina como el sndrome general de adaptacin (Alcntara Moreno, 2008)- (De Camargo, 2004). En 1989, Patterson y Nefeuld (Neufeld &amp; Paterson, 1989), (Moscoso, 1998) dieron apertura para considerar el estrs como un rea especfica de estudio, y a su vez debatiendo entre el estrs como respuesta del organismo y el estrs como estmulo para las situaciones de salud.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>La solucin del modelo dinmico del estrs permiten, por una parte, obtener un conjunto de variables fsicas: estresor, mecanismos psicolgicos, etc. Y por otra, informacin sobre el impacto del estrs en las enfermedades. Rojas (Rojas Sierra, 2012) sugiere un modelo causal para el anlisis dinmico del estrs, evaluando a travs del mismo la retroalimentacin del estrs y las enfermedades. Rahe (Rahe, 1990) afirma que es importante el conocimiento de la historia natural de los estresores psicosociales y su relacin con los estados de salud y enfermedad de los individuos, considerando el impacto psicosocial de los estresores en el tratamiento del sndrome general de adaptacin. En (Rahe, 1990) se desarrolla una tabla de vida, que documenta cronolgicamente los principales acontecimientos de la historia de una persona y el estado de salud concomitante a lo largo de su vida, pudiendo comprender cmo se desarrollaron las enfermedades en consonancia con las situaciones estresantes suscitadas.<span style='mso-spacerun:yes'> </span>En (Neufeld &amp; Paterson, 1989) se analiza principalmente la respuesta activa a la percepcin inicial de amenaza, describiendo un modelo del proceso de afrontamiento, que incluye la toma de decisiones y la cantidad de estrs que se espera en diferentes situaciones, adems se consideran los efectos de la propia respuesta al estrs sobre las facultades cognitivas. <o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>En lo que sigue se muestran las ecuaciones dinmicas del estrs y su relacin con las enfermedades. Luego una simulacin de las mismas para el anlisis de estabilidad y convergencia. Ms adelante los resultados y finalmente las conclusiones.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Cuando se presentan estmulos estresores, el organismo percibe estos como situaciones que afectan el estado de nimo (La dinmica de sistemas y el aprendizaje del alumno en la eduacin escolar., 1977) . Cuando se presentan estos estmulos de forma permanente se hace ms complicado para el sujeto evadir los efectos de los mismos, por ende busca refugio en otras soluciones que pueden conducir al consumo de alcohol, entre otras variantes que podran empeorar su situacin de salud y su estado emocional. Cuando la influencia de los estmulos estresores es muy fuerte, se empiezan a manifestar otras reacciones en el organismo, ocasionando problemas ms serios de salud, problemas de conducta y problemas emocionales que podran llegar a ser irreparables si no se atienden de forma apropiada.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Segn (Rojas Sierra, 2012), (Amador Moncada, Granada Daz, Redondo Ostegn, &amp; Tost, 2017) las ecuaciones dinmicas son productos de una relacin causa-efecto, basado en los flujos de entrada y salida. En este trabajo se ha considerado un diagrama de estados, como se observa en la figura 2. Donde los estados varan desde el estrs hasta la eliminacin del estresor, que produce el afrontamiento a la enfermedad, como consecuencia de una solucin mdica profesional. La dinmica propuesta por (Forrestere, 1977), (Amador Moncada, Granada Daz, Redondo Ostegn, &amp; Tost, 2017) supone la vinculacin de variables de un determinado sistema con el fin de alcanzar las dependencias entre ellas y sus efectos. Se ha considerado un diagrama de estados que consiste en una representacin del estrs, E, estresor, Es, y tambin aquellas variables asociadas a los estados de salud de las personas. Se ha tomado en cuenta que cuando el estresor aumenta, el nivel de estrs tambin aumenta, y en consecuencia la persona afectada tiende a buscar soluciones para intentar equilibrar esta situacin, estas soluciones no son tales, pues en su mayora suelen ser el alcohol, la ingesta excesiva de alimentos, las salidas a fiestas y dems actividades que suelen utilizarse para disfrazar la situacin de estrs, que adems se vinculan con un mecanismo de autodefensa del organismo y resistencia para abordar la situacin de estrs. Cuando estas posibles soluciones actan es posible observar una posible mejora del estado de salud, que a su vez, ir en decremento a medida que el estresor siga presente y que las soluciones aparentes no puedan producir el efecto real que se espera, para finalmente ser indispensable la ayuda de un profesional mdico. En la figura 2 se muestran las relaciones entre el estresor y el desencadenamiento de un mal estado de salud en las personas, siendo necesaria la reduccin del estresor para mejorar las condiciones del estrs y en consecuencia, el mejoramiento de la salud del paciente.<o:p></o:p></span></p> <p class=MsoNormal align=center style='margin-bottom:0cm;margin-bottom:.0001pt; text-align:center;line-height:normal'><span lang=EN-US style='mso-ansi-language: EN-US;mso-fareast-language:ES-CO;mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Imagen_x0020_69" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:209pt;height:219pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="9.fld/image001.jpg" o:title=""/> </v:shape><![endif]--><![if !vml]><img width=209 height=219 src="9.fld/image001.jpg" v:shapes="Imagen_x0020_69"><![endif]></span><span lang=EN-US style='mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Figura.2. Diagrama de estados; SA: solucin aparente, E: estrs, Es: Estresor; AD: AutoDefensa; RPs: Respuesta Psicosomtica; EN: Enfermedad; PM: Profesional Mdico.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Fuente: Franyelit Surez (2018)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Analizando los estados del diagrama de la figura 1, es posible coincidir con (Rojas Sierra, 2012), (Amador Moncada, Granada Daz, Redondo Ostegn, &amp; Tost, 2017) y constatar las ecuaciones de la<span style='mso-spacerun:yes'> </span>(1) a la (6):<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>E</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>dt</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>Es</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>S</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>.</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>A</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:6.0pt;mso-text-raise:-6.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:74pt;height:20pt'> <v:imagedata src="9.fld/image002.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=74 height=20 src="9.fld/image003.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(1)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>En</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>dt</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>R</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>.</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>Ps</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>P</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>.</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>M</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:6.0pt;mso-text-raise:-6.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:94pt;height:20pt'> <v:imagedata src="9.fld/image004.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=94 height=20 src="9.fld/image005.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(2)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>E</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>E</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>*</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>EN</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:70pt;height:14pt'> <v:imagedata src="9.fld/image006.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=70 height=14 src="9.fld/image007.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(3)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>S</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>.</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>A</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>E</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:55pt;height:14pt'> <v:imagedata src="9.fld/image008.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=55 height=14 src="9.fld/image009.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(4)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>RPs</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>f</m:r></span></i><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>E</m:r></span></i></m:e></m:d><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:1in;height:14pt'> <v:imagedata src="9.fld/image010.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=72 height=14 src="9.fld/image011.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span><span style='mso-spacerun:yes'></span>(5)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>P</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>.</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>M</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>EN</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:66pt;height:14pt'> <v:imagedata src="9.fld/image012.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=66 height=14 src="9.fld/image013.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(6)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Las constantes </span><span lang=EN-US style='mso-ansi-language:EN-US; mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'>, </span><span lang=EN-US style='mso-ansi-language: EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'>, </span><span lang=EN-US style='mso-ansi-language: EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>y </span><span lang=EN-US style='mso-ansi-language:EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'>, refieren a parmetros propios de (1) y (2). Cuando analizamos (Amador Moncada, Granada Daz, Redondo Ostegn, &amp; Tost, 2017) y (Forrester, Industrial Dynamics, Cambridge., 1961), es posible cuantificar el estrs y el estado de salud, a partir de la tasa de incidencia del mal estado de salud (</span><span lang=EN-US style='mso-ansi-language:EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'>), la frecuencia de manifestacin del estrs (</span><span lang=EN-US style='mso-ansi-language: EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'>), ndice del mal estado de salud en contraste con la escala de estrs (Forrester, Industrial Dynamics, Cambridge., 1961), y la frecuencia de la enfermedad (</span><span lang=EN-US style='mso-ansi-language: EN-US;mso-fareast-language:ES-CO'></span><span style='mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'>).<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>De (Forrester, Counterintuitive Behavior of Social Systems, 1971), (Merino.Soto &amp; Ruiz-Del Castillo, 2018) es posible afirmar que a medida que el nivel de estrs se hace mayor en las personas, el organismo intenta solucionar la situacin, con mecanismos de autodefensa. As pues, es posible generalizar las ecuaciones en funcin de x y y. que representan el estrs (x) y la enfermedad o mal estado de salud (y).<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>dx</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>dt</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>xy</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:69pt;height:20pt'> <v:imagedata src="9.fld/image014.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=69 height=20 src="9.fld/image015.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(7)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>dy</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>dt</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:62pt;height:20pt'> <v:imagedata src="9.fld/image016.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=62 height=20 src="9.fld/image017.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(8)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Se observa en (7) y (8) que se trata de un sistema no lineal autnomo, en el que es posible evaluar los puntos estacionarios o crticos, y evidenciar que estos estaran dados por (9)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>Pto</m:r></span></i><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:EN-US; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>1:</m:r></span><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0,0</m:r></span></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:51pt;height:14pt'> <v:imagedata src="9.fld/image018.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=51 height=14 src="9.fld/image019.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span lang=EN-US style='mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(9)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMathPara><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>Pto</m:r></span></i><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:EN-US; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2:</m:r></span><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>bd</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>ac</m:r></span></i></m:den></m:f><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:EN-US; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>;</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>a</m:r></span></i></m:den></m:f></m:e></m:d></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;mso-ansi-language:ES;mso-fareast-language:EN-US; mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:64pt;height:26pt'> <v:imagedata src="9.fld/image020.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=64 height=26 src="9.fld/image021.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span lang=EN-US style='mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span lang=EN-US style='mso-ansi-language:EN-US; mso-fareast-language:ES-CO'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>La interseccin de las nuclinas dadas en (7) y (8) definen estos puntos crticos dados por (9). Es posible entonces que este sistema no lineal pueda ser linealizado con un desarrollo de Taylor en el punto crtico, en este punto las variables que definen el comportamiento del sistema no manifiestan cambios o variaciones y por tanto, las derivadas asociadas a ellas se anulan. Por lo que las ecuaciones en el punto de funcionamiento se expresan como:<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>1.- </span><!--[if gte msEquation 12]><m:oMath><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr></m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>axy</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>by</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=0</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:86pt;height:15pt'> <v:imagedata src="9.fld/image022.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=86 height=15 src="9.fld/image023.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(10)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>a</m:r></span></i><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i></m:e><m:sub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr><span style='mso-spacerun:yes'> </span>;<span style='mso-spacerun:yes'> </span></m:r></span><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i></m:e><m:sub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>a</m:r></span></i></m:den></m:f><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr> </m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:r>con</m:r></span></i><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr> </m:r></span><m:sSup><m:sSupPr><span style='font-family: "Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-hansi-font-family: "Cambria Math";mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>x</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr></m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=0</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:139pt;height:20pt'> <v:imagedata src="9.fld/image024.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=139 height=20 src="9.fld/image025.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(11)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>2.- </span><!--[if gte msEquation 12]><m:oMath><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr></m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>dy</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>cx</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=0</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:80pt;height:15pt'> <v:imagedata src="9.fld/image026.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=80 height=15 src="9.fld/image027.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(12)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i></m:e><m:sub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>cx</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr><span style='mso-spacerun:yes'> </span>;<span style='mso-spacerun:yes'> </span></m:r></span><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i></m:e><m:sub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>cb</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>ad</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr><span style='mso-spacerun:yes'> </span></m:r></span><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>con</m:r></span></i><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr> </m:r></span><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr></m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=0</m:r></span></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:152pt;height:20pt'> <v:imagedata src="9.fld/image028.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=152 height=20 src="9.fld/image029.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(13)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Ya definidas las ecuaciones en el punto de operacin, es posible desarrollar Taylor, y linealizar con el jacobiano (14) en los puntos crticos.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>J</m:r></span></i><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><span style='font-family: "Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0,0</m:r></span></m:e></m:d><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count m:val="2"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i></m:e><m:e><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>0</m:r></span></m:e></m:mr><m:mr><m:e><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>c</m:r></span></i></m:e><m:e><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:8.0pt;mso-text-raise:-8.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:93pt;height:23pt'> <v:imagedata src="9.fld/image030.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=93 height=23 src="9.fld/image031.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(14)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Con los autovalores dados por </span><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr><span style='mso-spacerun:yes'> </span></m:r></span><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>y</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr><span style='mso-spacerun:yes'> </span></m:r></span><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=-</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:88pt;height:14pt'> <v:imagedata src="9.fld/image032.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=88 height=14 src="9.fld/image033.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Mientras que los autovalores para el punto crtico </span><!--[if gte msEquation 12]><m:oMath><m:d><m:dPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>bd</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>ac</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>;</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>a</m:r></span></i></m:den></m:f></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:33pt;height:21pt'> <v:imagedata src="9.fld/image034.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=33 height=21 src="9.fld/image035.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'></span>vienen dados por </span><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r></m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=-</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:num><m:den><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:den></m:f><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr></m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><span style='font-family: "Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>1</m:r></span></m:num><m:den><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:den></m:f><m:rad><m:radPr><m:degHide m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: "Cambria Math";mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US; mso-fareast-language:ES-CO'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i></m:e><m:sup><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC; mso-fareast-language:ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:sup></m:sSup><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family: "Cambria Math",serif;mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>a</m:r></span></i></m:den></m:f></m:e></m:rad></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:9.0pt;mso-text-raise:-9.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:103pt;height:28pt'> <v:imagedata src="9.fld/image036.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=103 height=28 src="9.fld/image037.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>Los autovalores demuestran un equilibrio circunstancial, esto implica que si el estresor aumenta, el nivel de estrs aumenta produciendo estados de nimos crecientes en la persona afectada, mientras que si el estresor se reduce, el nivel de estrs se hace menor y el estado de salud del paciente mejora.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><span style='mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'>El sistema linealizado en L place est en (15) y (16); por convencionalismo se han cambiado las letras griegas por letras latinas<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>Y</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>S</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)=</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>b</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+1)</m:r></span></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>aS</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>S</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>d</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)</m:r></span></m:den></m:f></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:8.0pt;mso-text-raise:-8.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:68pt;height:22pt'> <v:imagedata src="9.fld/image038.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=68 height=22 src="9.fld/image039.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(15)<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:0cm;margin-bottom:.0001pt;text-align: justify;line-height:normal'><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>X</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(</m:r></span><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>S</m:r></span></i><span style='font-family:"Cambria Math",serif;mso-ansi-language:ES-EC;mso-fareast-language: ES-CO'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>)=</m:r></span><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-ansi-language:EN-US;mso-fareast-language: ES-CO'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: normal'><span lang=EN-US style='font-family:"Cambria Math",serif;mso-ansi-language: EN-US;mso-fareast-language:ES-CO'><m:r>bd</m:r></span></i></m:num><m:den><i style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Cambria Math",serif; mso-ansi-language:EN-US;mso-fareast-language:ES-CO'><m:r>acS</m:r></span></i></m:den></m:f></m:oMath><![endif]--><![if !msEquation]><span lang=ES style='font-size:11.0pt;line-height:106%;font-family:"Calibri",sans-serif; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;position:relative;top:7.0pt;mso-text-raise:-7.0pt; mso-ansi-language:ES;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:50pt;height:20pt'> <v:imagedata src="9.fld/image040.emz" o:title="" chromakey="white"/> </v:shape><![endif]--><![if !vml]><img width=50 height=20 src="9.fld/image041.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span style='mso-ansi-language:ES-EC;mso-fareast-language:ES-CO'><span style='mso-spacerun:yes'> </span>(16)<o:p></o:p></span></p> <p class=MsoNormal style='line-height:150%'><span lang=ES-TRAD style='mso-ansi-language:ES-TRAD'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraph style='margin-top:6.0pt;margin-right:0cm;margin-bottom: 6.0pt;margin-left:38.65pt;mso-add-space:auto;text-align:justify;text-indent: -18.0pt;line-height:normal;background:white'><b><span lang=ES style='font-size: 16.0pt;mso-bidi-font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;color:black; mso-color-alt:windowtext;mso-fareast-language:ES'>2. Materiales y mtodos</span></b><b><span lang=ES style='font-size:16.0pt;mso-bidi-font-size:11.0pt;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-fareast-language:ES'><o:p></o:p></span></b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Se desarrollaron las simulaciones en Matlab creando un sistema para evaluacin del modelo matemtico, a travs del cual se consider tambin el desarrollo del sistema informtico para la interfaz de usuario que permite la interaccin con los pacientes y la valoracin mdica (Figura 1). <o:p></o:p></span></p> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span lang=EN-US style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:EN-US;mso-fareast-language: ES;mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Imagen_x0020_83" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:202pt;height:190pt;visibility:visible; mso-wrap-style:square'> <v:imagedata src="9.fld/image042.png" o:title=""/> </v:shape><![endif]--><![if !vml]><img width=202 height=190 src="9.fld/image042.png" v:shapes="Imagen_x0020_83"><![endif]></span><span lang=EN-US style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language:EN-US;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'><o:p></o:p></span></p> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Figura 1. Interfaz de inicio para el sistema de valoracin mdica, se incluye registro de usuarios para control y seguimiento.<o:p></o:p></span></p> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Fuente: (Surez, 2019)<o:p></o:p></span></p> <p class=MsoListParagraph style='margin-top:6.0pt;margin-right:0cm;margin-bottom: 6.0pt;margin-left:38.65pt;mso-add-space:auto;text-align:justify;text-indent: -18.0pt;line-height:normal;background:white'><b><span style='font-size:16.0pt; mso-bidi-font-size:11.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: Calibri;mso-bidi-theme-font:minor-latin;color:black;mso-color-alt:windowtext; mso-ansi-language:ES-EC;mso-fareast-language:ES'>3. Resultados </span></b><b><span style='font-size:16.0pt;mso-bidi-font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language: ES-EC;mso-fareast-language:ES'><o:p></o:p></span></b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>El sistema se desarroll en MatLab, con un algoritmo perceptrn para la clasificacin de opciones presentes en las variables, a, b, c y d, las cuales vienen definidas segn la tabla 1, sugerida por (Rojas Sierra, 2012).<o:p></o:p></span></p> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Tabla 1. Variables del estrs y sus unidades<o:p></o:p></span></p> <table class=MsoTableGrid border=0 cellspacing=0 cellpadding=0 style='margin-left:83.65pt;border-collapse:collapse;border:none;mso-yfti-tbllook: 1184;mso-padding-alt:0cm 5.4pt 0cm 5.4pt;mso-border-insideh:.5pt solid windowtext; mso-border-insidev:.5pt solid windowtext'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;height:1.0pt'> <td width=64 valign=top style='width:48.05pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-bottom-alt:solid windowtext .5pt;mso-border-right-alt:solid windowtext .5pt; background:#A6A6A6;mso-background-themecolor:background1;mso-background-themeshade: 166;padding:0cm 5.4pt 0cm 5.4pt;height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Variable<o:p></o:p></span></p> </td> <td width=279 valign=top style='width:209.6pt;border:none;border-bottom:solid windowtext 1.0pt; mso-border-left-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;background:#A6A6A6;mso-background-themecolor: background1;mso-background-themeshade:166;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;color:black;mso-color-alt:windowtext; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Unidad</span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'><o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:1;height:1.0pt'> <td width=64 valign=top style='width:48.05pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-top-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;mso-border-right-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt;height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>a<o:p></o:p></span></p> </td> <td width=279 valign=top style='width:209.6pt;border:none;border-bottom:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Niveles de recurrencia de la enfermedad<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:2;height:1.0pt'> <td width=64 valign=top style='width:48.05pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-top-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;mso-border-right-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt;height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>b<o:p></o:p></span></p> </td> <td width=279 valign=top style='width:209.6pt;border:none;border-bottom:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Recurrencia del estrs<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:3;height:1.0pt'> <td width=64 valign=top style='width:48.05pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-top-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;mso-border-right-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt;height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>c<o:p></o:p></span></p> </td> <td width=279 valign=top style='width:209.6pt;border:none;border-bottom:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-bottom-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Grado de la enfermedad con relacin al nivel de estrs<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:4;mso-yfti-lastrow:yes;height:1.0pt'> <td width=64 valign=top style='width:48.05pt;border:none;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-top-alt:solid windowtext .5pt; mso-border-right-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>d<o:p></o:p></span></p> </td> <td width=279 valign=top style='width:209.6pt;border:none;mso-border-top-alt: solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt; height:1.0pt'> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-EC;mso-fareast-language: ES;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>Recurrencia de la enfermedad<o:p></o:p></span></p> </td> </tr> </table> <p class=MsoNormal align=center style='margin-top:6.0pt;margin-right:0cm; margin-bottom:6.0pt;margin-left:0cm;text-align:center;line-height:normal'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;color:white;mso-color-alt:windowtext; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Fuente: (Rojas, 2012)</span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'><o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>La evaluacin de los parmetros permiti visualizar el estrs versus la enfermedad, proporcionando la figura 2 donde se observa cmo el estrs vara en proporcin con la enfermedad, en el paso del tiempo.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;font-family:"Times New Roman",serif; mso-fareast-font-family:"MS Mincho";mso-fareast-theme-font:minor-fareast; mso-bidi-theme-font:minor-bidi;mso-fareast-language:ES-EC;mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Imagen_x0020_6" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:250pt; height:177pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="9.fld/image043.png" o:title="stress-enfermedad"/> </v:shape><![endif]--><![if !vml]><img width=250 height=177 src="9.fld/image043.png" v:shapes="Imagen_x0020_6"><![endif]></span><span lang=ES style='font-size:10.0pt;line-height:106%'><o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;mso-bidi-theme-font: minor-latin'>Figura 2. Evaluacin del estrs vs la enfermedad en el tiempo<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;mso-bidi-theme-font: minor-latin'>Fuente: (Surez, 2018)</span><span lang=ES style='font-size:10.0pt; line-height:106%'><o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>La presencia del estrs en las personas de forma permanente en el tiempo puede ocasionar enfermedades irreversibles, que afectan considerablemente su estado de salud fsica y emocional, ocasionando problemas sociales, familiares y laborales. La figura 1 muestra cmo se va presentando la enfermedad cuando el estrs se mantiene constante y creciente en las personas.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Los puntos crticos se evaluaron para determinar la relacin estrs-estresor, y ello evidenci que la presencia del estresor de forma permanente afecta los niveles de estrs produciendo estados de nimos crecientes en la persona afectada. Por otro lado cuando el estresor disminuye, el nivel de estrs tambin se hace menor y el estado de salud del paciente se va mejorando.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Se tom en cuenta la valoracin del pulso y la respiracin para una primera prueba, donde fue posible constatar que cuando los valores del pulso superaban los 20 latidos por minutos, y la respiracin era mayor a 90 revoluciones por minutos, se haca muy evidente la presencia del estrs. El software diseado permite mediante una ventana simple verificar la presencia de estrs ante la evaluacin de estos parmetros (Figura 3a). La interfaz diseada utiliz una red neuronal del tipo adaptativa, que aborda situaciones de reconocimiento y de prediccin de los patrones seleccionados como variables (Figura 3b).<o:p></o:p></span></p> <p class=MsoNormal><!--[if gte vml 1]><v:group id="Grupo_x0020_84" o:spid="_x0000_s1026" style='position:absolute;margin-left:0;margin-top:21.9pt;width:407.45pt; height:105.95pt;z-index:251659264' coordsize="51743,13455" o:gfxdata="UEsDBBQABgAIAAAAIQDQ4HPPFAEAAEcCAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbJSSQU7DMBBF 90jcwfIWJQ5dIISSdEHKEhAqB7DsSWKIx5bHhPb2OGkrQdVWYumZef/Pt10uN3ZgIwQyDit+mxec ASqnDXYVf18/ZfecUZSo5eAQKr4F4sv6+qpcbz0QSzRSxfsY/YMQpHqwknLnAVOndcHKmI6hE16q T9mBWBTFnVAOI2DM4qTB67KBVn4Nka02qbzb5MNDx9njbnDyqrixk8DcECcZj6eRqX6aCDDQkYv0 fjBKxnQfYkR9lCXb58gTOc9QbzzdpLBnHKbO3xi/DfbcS3qAYDSwVxnis7QprNCBBCxc41R+WWNa 0lLm2tYoyJtAq5k67HROW7tvDDD+V7xJ2BuMB3Uxf4P6BwAA//8DAFBLAwQUAAYACAAAACEAOP0h /9YAAACUAQAACwAAAF9yZWxzLy5yZWxzpJDBasMwDIbvg72D0X1xmsMYo04vo9Br6R7A2IpjGltG 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Interfaz para la deteccin de estrs. 3b. Red adaptativa para el reconocimiento del estrs.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;mso-bidi-theme-font: minor-latin'>Fuente: (Surez, 2018)<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Partiendo de estos resultados se realiz un sistema informtico con una interfaz de usuario para medir el estrs en los pacientes de una oficina de servicios mdicos. La interfaz consisti de un sistema informtico realizado con Java, con el gestor de base de datos MySQL, y con una red neuronal del tipo bayesiana para el clculo probabilstico del error. <o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Se realiz un despistaje de estrs a 85 personas de con edades comprendidas entre 32 aos y 65 aos. No se tom en cuenta el clculo de la muestra porque todos asistieron de manera voluntaria. <o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>El sistema consta de una ventana que permite registrar a los pacientes, se toman en cuenta los principales datos del mismo: nombre, edad, antecedentes mdicos y correo electrnico. Una vez que el especialista mdico ha realizado el estudio se le enva un correo al paciente de forma automtica con el que podr tener todos los resultados de su evaluacin de estrs y las posibles sugerencias mdicas.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Adems el sistema permite llevar un historial de las revisiones mdicas del paciente, con el fin de revisar la evolucin del mismo y evaluar la recurrencia o no del estrs y con el mismo verificar su avance en el tratamiento mdico. En la figura 4 es posible apreciar la recurrencia de un paciente a la consulta mdica con situaciones de estrs.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='mso-fareast-language:ES-EC;mso-no-proof: yes'><!--[if gte vml 1]><v:shape id="Imagen_x0020_5" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:411pt;height:159pt;visibility:visible; mso-wrap-style:square'> <v:imagedata src="9.fld/image046.png" o:title=""/> </v:shape><![endif]--><![if !vml]><img width=411 height=159 src="9.fld/image046.png" v:shapes="Imagen_x0020_5"><![endif]></span><b style='mso-bidi-font-weight:normal'><span lang=ES style='font-size:10.0pt; line-height:150%'><o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;mso-bidi-theme-font: minor-latin'>Figura 4. Muestra de un registro del historial de un paciente en distintos momentos. Se evidencian las acciones ejecutadas por el especialista mdico y el reporte de horas de cada actividad.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center'><span lang=ES style='font-size:10.0pt;line-height:106%;mso-fareast-font-family:"MS Mincho"; mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;mso-bidi-theme-font: minor-latin'>Fuente: (Surez, 2019)<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>La evaluacin consiste en exponer al paciente a una lectura al mismo tiempo que se miden los valores de presin, pulso y respiracin. Los patrones de voz se ven afectados por el estado emocional de la persona y es este uno de los parmetros de mayor confiabilidad para el anlisis del estrs (Barqun-Cuervo, Medina-Gmez, &amp; Prez de Albniz-Garrote, 2018), (Ardila &amp; Ostrosky, 2018), por tanto estos oscilan entre 8Hz y 12Hz cuando el nivel emocional es estable, y resulta mayor a 12Hz cuando el estado emocional resulta alterado o estresado. As mismo los patrones de la respiracin reflejan un estrs elevado por encima de 90rpm y un nivel de estrs normal por debajo de 90rpm. Por otro lado, el pulso presenta un estrs negativo cuando ste est por encima de 20 latidos/minutos. <o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>El rostro fue una variable adicional que se incluy para verificar la relevancia del mismo en los estados emocionales. Se utiliz un anlisis termogrfico para esta validacin, ya que algunos estudios realizados (Dominguez, Salazar, &amp; De Crdova, 2015) aseguran que cuando una persona se encuentra bajo situaciones de estrs, se activa el lbulo frontal, temporal y lmbico. Estudios ms profundos han podido evidenciar que algunas zonas del cerebro se iluminan cuando las personas estn estresadas. As mismo ha sido posible comprobar que una persona estresada o alterada, presenta dilatacin de los vasos sanguneos de la nariz, causando que esta se hinche en proporciones poco visibles, pero que se manifiesta a travs de escozor en la misma, unido a una sudoracin leve.<o:p></o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-indent:35.45pt;line-height:150%'><span lang=ES>La figura 5 muestra la interfaz de resultados, donde pueden observarse las variables ya mencionadas. Este reporte es enviado a los pacientes para el control de su estado de salud.</span></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='mso-fareast-language:ES-EC;mso-no-proof: yes'><!--[if gte vml 1]><v:shape id="Imagen_x0020_13" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:278pt;height:156pt;visibility:visible; mso-wrap-style:square'> <v:imagedata src="9.fld/image047.png" o:title=""/> </v:shape><![endif]--><![if !vml]><img width=278 height=156 src="9.fld/image047.png" v:shapes="Imagen_x0020_13"><![endif]></span><b style='mso-bidi-font-weight:normal'><span lang=ES style='font-size:10.0pt; line-height:150%'><o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='font-size:10.0pt;line-height:150%'>Figura 5. Resultados de exmenes de los pacientes. Se observan las variables asociadas al estudio.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='font-size:10.0pt;line-height:150%'>Fuente: (Surez, 2019)<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Se valid el margen de error con una red neuronal del tipo bayesiana, y fue posible contrastar dichos valores con los arrojados por las seales EKG. Estas seales permiten visualizar las alteraciones cardacas presentes en el organismo como consecuencias de los estados emocionales. La figura 6 muestra el error presente en contraste con las seales EKG.<o:p></o:p></span></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='mso-fareast-language:ES-EC;mso-no-proof: yes'><!--[if gte vml 1]><v:shape id="Imagen_x0020_28" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:312pt;height:141pt;visibility:visible; mso-wrap-style:square'> <v:imagedata src="9.fld/image048.png" o:title="" croptop="10880f" cropbottom="9645f" cropleft="3065f" cropright="6229f"/> </v:shape><![endif]--><![if !vml]><img width=312 height=141 src="9.fld/image049.png" v:shapes="Imagen_x0020_28"><![endif]></span><b style='mso-bidi-font-weight:normal'><span lang=ES style='font-size:10.0pt; line-height:150%'><o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='font-size:10.0pt;line-height:150%'>Figura 6. Margen de error de las seales EKG con los resultados del estrs evaluado en los pacientes.<b style='mso-bidi-font-weight:normal'><o:p></o:p></b></span></p> <p class=MsoNormal align=center style='text-align:center;text-indent:35.45pt; line-height:150%'><span lang=ES style='font-size:10.0pt;line-height:150%'>Fuente: (Surez, 2019)<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>Se observa que el margen de error vara entre 0,008% y 0,009% en contraste con las seales EKG, lo cual indica que el sistema ha sido lo suficientemente ptimo, logrando una concordancia de los niveles de estrs con las variables ya mencionadas a los niveles de estrs evaluados a partir de una seal EKG.<o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify;line-height:normal'><b><span lang=ES style='font-size:16.0pt;mso-bidi-font-size:11.0pt;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-fareast-language:ES'>4. Discusin </span></b><b><span lang=ES-TRAD style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-ansi-language: ES-TRAD'><o:p></o:p></span></b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>La Figura 2 muestra la evolucin del estrs en el tiempo y cmo la presencia constante de ste afecta considerablemente la salud de las personas. As mismo se pudo apreciar a travs de los puntos crticos, que representan los estresores, la relevancia de estos para desencadenar el estrs de forma rpida. Lo que conduce a variaciones en el estado de nimo segn la perseverancia de estos en las personas.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:ES-EC;mso-fareast-language:ES;mso-bidi-font-weight:bold; mso-bidi-font-style:italic'>La figura 3 revela que la respiracin y el pulso son fundamentales para determinar la presencia de estados de nimos alterados, que pueden denominarse como situacin de estrs y que pudieran ser perjudiciales para la salud. Este anlisis previo es de vital importancia para el anlisis mdico y las futuras evaluaciones de salud del paciente, que pudieran estar condicionadas a la situacin de estrs.<o:p></o:p></span></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt; margin-left:0cm;text-align:justify;line-height:normal'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:Calibri;mso-bid