<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-0807</journal-id>
<journal-title><![CDATA[Revista de la Universidad Industrial de Santander. Salud]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Univ. Ind. Santander. Salud]]></abbrev-journal-title>
<issn>0121-0807</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-08072019000200147</article-id>
<article-id pub-id-type="doi">10.18273/revsal.v51n2-201900</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Ley exponencial de la dinámica cardiaca caótica aplicada a 18 horas]]></article-title>
<article-title xml:lang="en"><![CDATA[Exponential law of chaotic cardiac dynamics applied to 18 hours]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Velásquez]]></surname>
<given-names><![CDATA[Javier Oswaldo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Giraldo-Cardona]]></surname>
<given-names><![CDATA[José Fernando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barrios-Arroyave]]></surname>
<given-names><![CDATA[Freddy Andrés]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Prieto-Bohórquez]]></surname>
<given-names><![CDATA[Signed Esperanza]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Correa-Herrera]]></surname>
<given-names><![CDATA[Sandra Catalina]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Soracipa-Muñoz]]></surname>
<given-names><![CDATA[Maria Yolanda]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Grupo Insight  ]]></institution>
<addr-line><![CDATA[Bogotá D.C]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Manizales  ]]></institution>
<addr-line><![CDATA[Caldas ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>51</volume>
<numero>2</numero>
<fpage>147</fpage>
<lpage>154</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-08072019000200147&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-08072019000200147&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-08072019000200147&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  Introducción: La aplicación de una ley exponencial para los sistemas dinámicos caóticos cardiacos ha sido reducida a 18 horas para el análisis del Holter, cuantificando las dinámicas cardiacas normales y patológicas, así como la evolución entre estos estados.  Metodología: Se analizaron 80 registros electrocardiográficos, 15 con dinámicas normales y 65 con diferentes patologías. Se construyó un atractor caótico para cada dinámica cardiaca a partir de la simulación de la secuencia de las frecuencias cardiacas durante 18 horas, posteriormente se halló la dimensión fractal de cada atractor y su ocupación espacial. Los parámetros diferenciadores de la ley caótica exponencial fueron aplicados diferenciando dinámicas cardiacas normales de aquellas patológicas, finalmente se calculó la sensibilidad, especificidad y coeficiente Kappa.  Resultados: Las dinámicas normales presentaron espacios de ocupación por encima de 200 en la rejillla Kp, y para la rejilla Kg por encima de 67. Para los casos de enfermedad aguda los valores en las rejillas Kp y Kg estuvieron por debajo de 73 y 22 respectivamente. Los valores de sensibilidad y especificidad fueron de 100% y el coeficiente Kappa fue de 1.  Conclusión: La aplicación de la ley exponencial durante 18 horas mostro que fue posible caracterizar matemáticamente las dinámicas cardiacas, permitiendo reducir el tiempo de evaluación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  Introduction: The application of an exponential law for chaotic dynamic cardiac systems has been reduced to 18 hours for Holter analysis, quantifying normal and pathological cardiac dynamics, as well as the evolution between these states.  Methodology: 80 electrocardiographic records were analyzed, 15 with normal dynamics and 65 with different pathologies. A chaotic attractor was constructed for each cardiac dynamic based on the simulation of the cardiac frequency sequence for 18 hours, after the fractal dimension of each attractor and its spatial occupation were found. The differentiating parameters of the chaotic exponential law were applied differentiating normal cardiac dynamics from those pathological, finally the sensitivity, specificity and Kappa coefficient were calculated.  Results: The normal dynamics presented occupancy spaces above 200 in the Kp grid, and for the Kg grid above 67. In the cases of acute disease, the values in the Kp and Kg grids were below 73 and 22 respectively. The values of sensitivity and specificity were 100% and the Kappa coefficient was 1.  Conclusion: The application of the exponential law for 18 hours showed that it was possible to characterize mathematically the cardiac dynamics, allowing reducing the time of evaluation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Fractal]]></kwd>
<kwd lng="es"><![CDATA[diagnóstico]]></kwd>
<kwd lng="es"><![CDATA[electrocardiografía]]></kwd>
<kwd lng="es"><![CDATA[matemática]]></kwd>
<kwd lng="es"><![CDATA[enfermedad]]></kwd>
<kwd lng="es"><![CDATA[simulación]]></kwd>
<kwd lng="en"><![CDATA[Fractal]]></kwd>
<kwd lng="en"><![CDATA[diagnosis]]></kwd>
<kwd lng="en"><![CDATA[electrocardiography]]></kwd>
<kwd lng="en"><![CDATA[disease]]></kwd>
<kwd lng="en"><![CDATA[mathematics]]></kwd>
<kwd lng="en"><![CDATA[simulation]]></kwd>
</kwd-group>
</article-meta>
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