<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2020000500632</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.66.632</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Correspondence between formulations of Avrami and Gompertz equations for untreated tumor growth kinetics]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Villar Goris]]></surname>
<given-names><![CDATA[N. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Selva Castañeda]]></surname>
<given-names><![CDATA[A. R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ramirez-Torres]]></surname>
<given-names><![CDATA[E. E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bory Reyes]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Randez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bergues Cabrales]]></surname>
<given-names><![CDATA[L. E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montijano]]></surname>
<given-names><![CDATA[J. I.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Santo Domingo  ]]></institution>
<addr-line><![CDATA[Santo Domingo ]]></addr-line>
<country>Dominican Republic</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Oriente Facultad de Ingeniería en Telecomunicaciones, Informática y Biomédica ]]></institution>
<addr-line><![CDATA[Santiago de Cuba ]]></addr-line>
<country>Cuba</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de Oriente Facultad de Ingeniería en Telecomunicaciones, Informática y Biomédica Departamento de Biomédica]]></institution>
<addr-line><![CDATA[Santiago de Cuba ]]></addr-line>
<country>Cuba</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Universidad de Zaragoza Instituto Universitario de Investigación de Matem áticas y Aplicaciones ]]></institution>
<addr-line><![CDATA[Zaragoza ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,Universidad de Oriente Centro Nacional de Electromagnetismo Aplicado ]]></institution>
<addr-line><![CDATA[Santiago de Cuba ]]></addr-line>
<country>Cuba</country>
</aff>
<aff id="Af7">
<institution><![CDATA[,Universidad de Zaragoza Instituto Universitario de Investigación de Matemáticas y Aplicaciones ]]></institution>
<addr-line><![CDATA[Zaragoza ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2020</year>
</pub-date>
<volume>66</volume>
<numero>5</numero>
<fpage>632</fpage>
<lpage>636</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2020000500632&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2020000500632&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2020000500632&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The classical and modified equations of Kolmogorov-Johnson-Mehl-Avrami are compared with the equations of conventional Gompertz and Montijano-Bergues-Bory-Gompertz, in the frame of growth kinetics of tumors. For this, different analytical and numerical criteria are used to demonstrate the similarity between them, in particular the distance of Hausdorff. The results show that these equations are similar from the mathematical point of view, and the parameters of the Gompertz equation are explicitly related to those of the Avrami equation. It is concluded that Modified Kolmogorov-Johnson-Mehl-Avrami and Montijano-Bergues-Bory-Gompertz equations can be used to describe the growth kinetics of unperturbed tumors.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Avrami formulations]]></kwd>
<kwd lng="en"><![CDATA[Gompertz formulations]]></kwd>
<kwd lng="en"><![CDATA[tumor growth kinetics]]></kwd>
<kwd lng="en"><![CDATA[fractal dimension]]></kwd>
</kwd-group>
</article-meta>
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