<?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>0120-5633</journal-id>
<journal-title><![CDATA[Revista Colombiana de Cardiología]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Colomb. Cardiol.]]></abbrev-journal-title>
<issn>0120-5633</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Colombiana de Cardiologia. Oficina de Publicaciones]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-56332021000300231</article-id>
<article-id pub-id-type="doi">10.24875/rccar.m21000024</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Aplicación de una ley matemática exponencial a la dinámica cardíaca en 16 horas: estudio realizado con 250 pacientes]]></article-title>
<article-title xml:lang="en"><![CDATA[Application of an exponential mathematical law to cardiac dynamics in 16 hours: a study of 250 patients]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Prieto-Bohórquez]]></surname>
<given-names><![CDATA[Signed E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Velásquez]]></surname>
<given-names><![CDATA[Javier]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Correa-Herrera]]></surname>
<given-names><![CDATA[Catalina]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Beltrán]]></surname>
<given-names><![CDATA[Luis M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Agudelo-Otalora]]></surname>
<given-names><![CDATA[Luis M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Trejos-Ramírez]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez-Molina]]></surname>
<given-names><![CDATA[Clímaco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Hospital Universitario Nacional de Colombia Grupo Insight ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de la Sabana Grupo Control y Automatización de Procesos (CAPSAB) ]]></institution>
<addr-line><![CDATA[Chía ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de la Sabana Grupo Human Centered Design (HCD) ]]></institution>
<addr-line><![CDATA[Chía ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de la Sabana Departamento de Ginecología y Obstetricia ]]></institution>
<addr-line><![CDATA[Chía ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Clínica de la Sabana Departamento de Cardiología ]]></institution>
<addr-line><![CDATA[Chía ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2021</year>
</pub-date>
<volume>28</volume>
<numero>3</numero>
<fpage>231</fpage>
<lpage>238</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-56332021000300231&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-56332021000300231&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-56332021000300231&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  Introducción: Los sistemas dinámicos y la geometría fractal han sido el sustrato para el advenimiento de una ley matemática aplicada al diagnóstico de la dinámica cardíaca en 21 horas.  Objetivo: Confirmar la aplicabilidad clínica de la ley matemática exponencial en 16 horas a partir de un estudio de concordancia diagnóstica frente a la norma de referencia.  Materiales y método: Se realizó un estudio con 250 registros electrocardiográficos continuos y ambulatorios; 50 pertenecían a pacientes normales y 200 a pacientes con diversas enfermedades cardíacas. Se simuló la secuencia de frecuencias cardíacas y se construyeron los atractores correspondientes. Se calculó la dimensión fractal y la ocupación del atractor en el espacio generalizado de box-counting. Por último, se estableció el diagnóstico fisicomatemático en 16 y 21 horas y se efectuó la validación estadística.  Resultados: Los espacios de ocupación para normalidad en la rejilla pequeña se encontraron entre 205 y 372, y entre 56 y 201 para dinámicas patológicas, lo cual permitió evidenciar la capacidad del método para diferenciar normalidad de enfermedad a través de la ocupación espacial de los atractores con base en la ley matemática en 16 horas. Se hallaron valores de sensibilidad y especificidad del 100% y un coeficiente kappa del orden de 1, luego de comparar el diagnóstico fisicomatemático frente a la norma de referencia.  Conclusión: La ley matemática exponencial en 16 horas demostró su utilidad como herramienta de ayuda diagnóstica y predictiva, lo cual permitió diferenciar normalidad y estados evolutivos hacia enfermedad y agudización.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  Introduction: Dynamic systems and fractal geometry have been the substrate for the rising of a mathematical law applied to the diagnosis of cardiac dynamics in 21 hours.  Objective: To confirm the clinical applicability of the exponential mathematical law in 16 hours, with a study of diagnostic agreement against the Gold Standard.  Materials and method: It was made a study with 250 ambulatory and continuous electrocardiographic recordings, 50 belonged to normal patients and 200 to patients with various cardiac pathologies. The sequence of heart rates was simulated, and attractors were constructed. It was calculated the fractal dimension of the attractor and its occupation in the generalized Box-Counting space. Finally, it was determined the physical-mathematical diagnostic in 16 and 21 hours, and statistical validation was performed.  Results: The occupation spaces in the small grid were between 205 and 372 for normality, and between 56 and 201 for pathologic dynamics, which demonstrated the ability of the method to differentiate normal condition from sickness, through spatial occupation of attractors according to mathematical law in 16 hours. There were obtained values of sensitivity and specificity of 100% and Kappa coefficient was 1, after comparing the physic-mathematical analysis against the Gold Standard.  Conclusion: The exponential mathematical law in 16 hours proved its utility as diagnostic and predictive tool support, allowing to differentiate normal, developmental stages to disease and exacerbation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Enfermedad cardiovascular]]></kwd>
<kwd lng="es"><![CDATA[Sistemas dinámicos]]></kwd>
<kwd lng="es"><![CDATA[Diagnóstico]]></kwd>
<kwd lng="es"><![CDATA[Holter]]></kwd>
<kwd lng="en"><![CDATA[Cardiovascular disease]]></kwd>
<kwd lng="en"><![CDATA[Dynamical systems]]></kwd>
<kwd lng="en"><![CDATA[Diagnostics]]></kwd>
<kwd lng="en"><![CDATA[Holter]]></kwd>
</kwd-group>
</article-meta>
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