<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2019000200299</article-id>
<article-id pub-id-type="doi">10.18273/revint.v37n2-2019005</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Oscillations in enzymatic reactions with periodic input]]></article-title>
<article-title xml:lang="es"><![CDATA[Oscilaciones en reacciones enzimáticas con entradas periódicas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lara-Agüilar]]></surname>
<given-names><![CDATA[Brenda]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Osuna]]></surname>
<given-names><![CDATA[Osvaldo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Wences]]></surname>
<given-names><![CDATA[Giovanni]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Michoacana de San Nicolás de Hidalgo  ]]></institution>
<addr-line><![CDATA[Michoacán ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma de Guerrero  ]]></institution>
<addr-line><![CDATA[Guerrero ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>37</volume>
<numero>2</numero>
<fpage>299</fpage>
<lpage>306</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2019000200299&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2019000200299&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2019000200299&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this work, we prove the existence of periodic solutions for some enzyme catalyzed reaction models subject to periodic substrate input. We also obtain uniqueness and asymptotic stability of the periodic solution of some classes of reaction equations. Numerical simulations are performed using specific substrate functions to illustrate our analytical findings. MSC2010: 34C25, 92C45, 47H1.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este trabajo probamos la existencia de soluciones periódicas para algunos modelos de reacciones catalizadas por enzimas sujetas a una entrada periódica de sustrato. También obtenemos unicidad y estabilidad asintótica de la solución periódica de algunas clases de reacciones. Realizamos simulaciones numéricas utilizando funciones específicas de sustrato para ilustrar nuestros hallazgos analíticos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Cooperative systems]]></kwd>
<kwd lng="en"><![CDATA[enzyme kinetics]]></kwd>
<kwd lng="en"><![CDATA[periodic orbits]]></kwd>
<kwd lng="es"><![CDATA[Sistemas cooperativos]]></kwd>
<kwd lng="es"><![CDATA[cinética enzimática]]></kwd>
<kwd lng="es"><![CDATA[órbitas periódicas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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