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hal.structure.identifierInstitut de Recherche en Génie Civil et Mécanique [GeM]
dc.contributor.authorCHINESTA, Francisco
hal.structure.identifierInstitut de Recherche en Communications et en Cybernétique de Nantes [IRCCyN]
dc.contributor.authorMAGNIN, Morgan
hal.structure.identifierInstitut de Recherche en Communications et en Cybernétique de Nantes [IRCCyN]
dc.contributor.authorROUX, Olivier
hal.structure.identifierLaboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.authorAMMAR, Amine
hal.structure.identifierAragón Institute of Engineering Research [Zaragoza] [I3A]
dc.contributor.authorCUETO, Elías
dc.date.accessioned2021-05-14T09:56:13Z
dc.date.available2021-05-14T09:56:13Z
dc.date.issued2015-04
dc.identifier.issn1099-4300
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77758
dc.description.abstractEnIn this work, we begin by considering the qualitative modeling of biological regulatory systems using process hitting, from which we define its probabilistic counterpart by considering the chemical master equation within a kinetic theory framework. The last equation is efficiently solved by considering a separated representation within the proper generalized decomposition framework that allows circumventing the so-called curse of dimensionality. Finally, model parameters can be added as extra-coordinates in order to obtain a parametric solution of the model.
dc.language.isoen
dc.publisherMDPI
dc.subject.enstatistical mechanics
dc.subject.enkinetic theory
dc.subject.enchemical master equation
dc.subject.enproper generalized decomposition (PGD)
dc.subject.enqualitative modeling
dc.subject.enprocess hitting
dc.subject.enbiological regulatory networks
dc.title.enKinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions
dc.typeArticle de revue
dc.identifier.doi10.3390/e17041896
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.journalEntropy
bordeaux.page1896-1915
bordeaux.volume17
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01195963
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01195963v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Entropy&rft.date=2015-04&rft.volume=17&rft.issue=4&rft.spage=1896-1915&rft.epage=1896-1915&rft.eissn=1099-4300&rft.issn=1099-4300&rft.au=CHINESTA,%20Francisco&MAGNIN,%20Morgan&ROUX,%20Olivier&AMMAR,%20Amine&CUETO,%20El%C3%ADas&rft.genre=article


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