<?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>1665-2738</journal-id>
<journal-title><![CDATA[Revista mexicana de ingeniería química]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mex. Ing. Quím]]></abbrev-journal-title>
<issn>1665-2738</issn>
<publisher>
<publisher-name><![CDATA[Universidad Autónoma Metropolitana, División de Ciencias Básicas e Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-27382009000300002</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Modelado de la biodegradación en biorreactores de lodos de hidrocarburos totales del petróleo intemperizados en suelos y sedimentos]]></article-title>
<article-title xml:lang="en"><![CDATA[Biodegradation modeling of sludge bioreactores of total petroleum hydrocarbons weathering in soil and sediments]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina-Moreno]]></surname>
<given-names><![CDATA[S.A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Huerta-Ochoa]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lucho-Constantino]]></surname>
<given-names><![CDATA[C.A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aguilera-Vázquez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jiménez-González]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gutiérrez-Rojas]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Politécnica de Pachuca Departamento de Biotecnología ]]></institution>
<addr-line><![CDATA[Zempoala Hgo.]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Autónoma Metropolitana Departamento de Biotecnología ]]></institution>
<addr-line><![CDATA[ México D.F.]]></addr-line>
<country>México</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Politécnica de Francisco l. Madero Departamento de lngeniería en Agrotecnología ]]></institution>
<addr-line><![CDATA[ Hgo.]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2009</year>
</pub-date>
<volume>8</volume>
<numero>3</numero>
<fpage>245</fpage>
<lpage>258</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-27382009000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-27382009000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-27382009000300002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se desarrolló y validó un modelo matemático de difusión-sorción-biodegradación para predecir y describir la biodegradación en un biorreactor de lodos de hidrocarburos totales de petróleo (HTPs) intemperizados en suelos y sedimentos. El principal aporte del modelo fue considerar un fenómeno de histéresis en los poros de las partículas de suelo, donde la trayectoria inicial de equilibrio fue descrita mediante una isoterma lineal, mientras que la trayectoria de un segundo equilibrio durante la difusión intrapartícula de los hidrocarburos fue descrita por una isoterma de Langmuir. Esta consideración, explica el fenómeno de difusión retardada por re-adsorción. Además, la adimensionalización del modelo generó cuatro números adimensionales: biodisponibilidad tipo I (BnI) y tipo II (BnII), Biot de masa (Bi m) y el módulo de re-adsorción (&#951;); los cuales permitieron establecer los mecanismos de control en el proceso de biodegradación. La validación del modelo, se llevó a cabo al ser utilizado para describir y predecir la biodegradación de HTPs intemperizados en un suelo con 150,000 mg HTPs/kg y este mismo suelo pre-tratando con tolueno. El modelo puede utilizarse como plataforma para el desarrollo de criterios de escalamiento y diseño de biorreactores de lodos.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[A mathematical model to predict and to describe the biodegradation in sludge bioreactor of total petroleum hydrocarbons (TPHs) weathering in soil-sediments was developed and validated. The main model contribution, consisted on taking into account a hysteresis phenomena inside of the particles soil, where the initial desorption and solubilization equilibrium path of TPHs (linear isotherm) was considered to be different at the second readsorption equilibrium path (Langmuir isotherm) during intraparticle diffusivity of hydrocarbons. The Langmuir isotherm consideration, allowed explaining the retarded diffusion due to readsorption equilibrium. Model dimensionless also generate four non-dimensional numbers: bioavailability I (BnI) and II (BnII), Biot of mass (Bi m) and readsorption module (&#951;) that allowed establishing the control mechanism of the biodegradation process. The model validation was carried out by their use to describe and to predict the biodegradation of weathering TPHs in a soil with 150,000 mg/kg of contamination level. The model was also capable to describe the biodegradation of weathering TPHs from the same soil, previously treated with toluene. The model could be used as platform to develop scale-up approaches, and to improve the sludge bioreactors performance.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[modelo difusión-sorción-biodegradación]]></kwd>
<kwd lng="es"><![CDATA[biorreactor de lodos]]></kwd>
<kwd lng="es"><![CDATA[hidrocarburos totales de petróleo]]></kwd>
<kwd lng="es"><![CDATA[biodegradación]]></kwd>
<kwd lng="en"><![CDATA[diffusion-sorption-biodegradation model]]></kwd>
<kwd lng="en"><![CDATA[sludge bioreactor]]></kwd>
<kwd lng="en"><![CDATA[weathering total petroleum hydrocarbons]]></kwd>
<kwd lng="en"><![CDATA[biodegradation]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Biotecnolog&iacute;a</font></p>     <p align="justify"><font face="verdana" size="4">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>Modelado de la biodegradaci&oacute;n en biorreactores de lodos de hidrocarburos totales del petr&oacute;leo intemperizados en suelos y sedimentos</b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="3"><b>Biodegradation modeling of sludge bioreactores of total petroleum hydrocarbons weathering in soil and sediments</b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>S.A. Medina&#150;Moreno<sup>1</sup>*; S. Huerta&#150;Ochoa<sup>2</sup>; C.A. Lucho&#150;Constantino<sup>1</sup>; L. Aguilera&#150;V&aacute;zquez<sup>1</sup>; A. Jim&eacute;nez&#150;Gonz&aacute;lez<sup>3</sup> y M. Guti&eacute;rrez&#150;Rojas<sup>2</sup></b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>1</sup> Departamento de Biotecnolog&iacute;a, Universidad Polit&eacute;cnica de Pachuca. Ex&#150;Hacienda de Santa B&aacute;rbara, Mpio. Zempoala, Hgo., C.P. 43830, Carretera Pachuca Cd. Sahag&uacute;n Km. 20. * <i>Autor para la correspondencia. E&#150;mail: </i></i><a href="mailto:samm67@upp.edu.mx">samm67@upp.edu.mx</a></font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>2</sup> Departamento de Biotecnolog&iacute;a, Universidad Aut&oacute;noma Metropolitana. C.P. 09340 lztapalapa, M&eacute;xico D.F., M&eacute;xico. </i></font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><i><sup>3</sup> Departamento de lngenier&iacute;a en Agrotecnolog&iacute;a, Universidad Polit&eacute;cnica de Francisco l. Madero. Carretera Tepatepec&#150;San Juan Tepa, Km. 2, Hgo., C.P.42660</i></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido 14 de Abril 2009    <br> Aceptado 20 de Octubre 2009</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>     <p align="justify"><font face="verdana" size="2">En este trabajo se desarroll&oacute; y valid&oacute; un modelo matem&aacute;tico de difusi&oacute;n&#150;sorci&oacute;n&#150;biodegradaci&oacute;n para predecir y describir la biodegradaci&oacute;n en un biorreactor de lodos de hidrocarburos totales de petr&oacute;leo (HTPs) intemperizados en suelos y sedimentos. El principal aporte del modelo fue considerar un fen&oacute;meno de hist&eacute;resis en los poros de las part&iacute;culas de suelo, donde la trayectoria inicial de equilibrio fue descrita mediante una isoterma lineal, mientras que la trayectoria de un segundo equilibrio durante la difusi&oacute;n intrapart&iacute;cula de los hidrocarburos fue descrita por una isoterma de Langmuir. Esta consideraci&oacute;n, explica el fen&oacute;meno de difusi&oacute;n retardada por re&#150;adsorci&oacute;n. Adem&aacute;s, la adimensionalizaci&oacute;n del modelo gener&oacute; cuatro n&uacute;meros adimensionales: biodisponibilidad tipo I (<i>B<sub>nI</sub></i>) y tipo II (<i>B<sub>nII</sub></i>), Biot de masa (<i>Bi<sub>m</sub></i>) y el m&oacute;dulo de re&#150;adsorci&oacute;n (<i>&#951;</i>); los cuales permitieron establecer los mecanismos de control en el proceso de biodegradaci&oacute;n. La validaci&oacute;n del modelo, se llev&oacute; a cabo al ser utilizado para describir y predecir la biodegradaci&oacute;n de HTPs intemperizados en un suelo con 150,000 mg HTPs/kg y este mismo suelo pre&#150;tratando con tolueno. El modelo puede utilizarse como plataforma para el desarrollo de criterios de escalamiento y dise&ntilde;o de biorreactores de lodos.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Palabras clave: </b>modelo difusi&oacute;n&#150;sorci&oacute;n&#150;biodegradaci&oacute;n, biorreactor de lodos, hidrocarburos totales de petr&oacute;leo, biodegradaci&oacute;n.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">A mathematical model to predict and to describe the biodegradation in sludge bioreactor of total petroleum hydrocarbons (TPHs) weathering in soil&#150;sediments was developed and validated. The main model contribution, consisted on taking into account a hysteresis phenomena inside of the particles soil, where the initial desorption and solubilization equilibrium path of TPHs (linear isotherm) was considered to be different at the second readsorption equilibrium path (Langmuir isotherm) during intraparticle diffusivity of hydrocarbons. The Langmuir isotherm consideration, allowed explaining the retarded diffusion due to readsorption equilibrium. Model dimensionless also generate four non&#150;dimensional numbers: bioavailability I (<i>B<sub>nI</sub></i>)<i> </i>and II (<i>B<sub>nII</sub></i>),<i> </i>Biot of mass (<i>Bi<sub>m</sub></i>)<i> </i>and readsorption module (<i>&#951;</i>) that allowed establishing the control mechanism of the biodegradation process. The model validation was carried out by their use to describe and to predict the biodegradation of weathering TPHs in a soil with 150,000 mg/kg of contamination level. The model was also capable to describe the biodegradation of weathering TPHs from the same soil, previously treated with toluene. The model could be used as platform to develop scale&#150;up approaches, and to improve the sludge bioreactors performance.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>diffusion&#150;sorption&#150;biodegradation model, sludge bioreactor, weathering total petroleum hydrocarbons, biodegradation.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmiq/v8n3/v8n3a2.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a> </font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Referencias</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">Bosma, T. N. P; Middeldorp, P.J.M; Schraa, G; Zehnder, A.J. 1997. Mass transfer limitation of biotransformation: Quantifying bioavailability. <i>Environmental Science and Technology 31, </i>248&#150;252.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8537808&pid=S1665-2738200900030000200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">Chung, G.Y; McCoy, B.J; Scow, K.M. 1993. Criteria to asses when biodegradation is kinetically limited by intraparticle diffusion and sorption. <i>Biotechnology and Bioengineering 41, </i>625&#150;632.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8537810&pid=S1665-2738200900030000200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>     ]]></body>
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