Correspondence between discrete and piecewise linear models of gene regulatory networks

Autor:	Diener, Francine, Das, Aparna, Bernot, Gilles, Comet, Jean-Paul, Eyssette, Frédéric
Přispěvatelé:	Equipe de Probabilité et Statistique, Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe BIOINFO, Modèles Discrets pour les Systèmes Complexes (Laboratoire I3S - MDSC), Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis (I3S), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis (I3S), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), European Project, Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)
Jazyk:	angličtina
Rok vydání:	2007
Předmět:	state transition graph logical model Quantitative Biology::Molecular Networks [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Quantitative Biology::Genomics piecewise linear differential equations J.3 ACM Gene regulatory networks
Zdroj:	Colloque à la mémoire d'Emmanuel Isambert Colloque à la mémoire d'Emmanuel Isambert, Dec 2007, Paris, France. pp.185-194
Popis:	International audience; We know that some proteins can regulate the expression of genes in a living organism. The regulation of gene expression occurs through networks of regulatory interactions in a non linear way between DNA, RNA, proteins and some molecules, called genetic regulatory networks. It is becoming clear that mathematical models and tools are required to analyze these complex systems. In the course of his study on gene regulatory networks R. Thomas proposed a discrete framework that mimics the qualitative evolution of such systems. Such discrete models are of great importance because kinetic parameters are often non measurable in vivo and available data are often of qualitative nature. Then Snoussi proved consistency between the discrete approach of R. Thomas and Piecewise Linear Differential Equation Systems, which are easy to construct from interaction graph and thresholds of interactions. Our work focuses on the relationships between both approaches: we will prove a result of correspondence between the two models. Finally, we will give some short description of a Maple program which can compute a discrete path, given the ordinary differential equation and starting box.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6bb194630bf1c0f7be1a61fe4e4dda42 https://hal.archives-ouvertes.fr/hal-00915274/document Zobrazit plný text záznamu