Comparison between Boolean and piecewise affine differential models for genetic networks (2009)
Chaves, Madalena, Tournier, Laurent, Gouze, Jean-Luc
Multi-level discrete models of genetic networks, or the more general piecewise affine differential models, provide qualitative information on the dynamics of the system, based on a small number of...
Comparison between Boolean and piecewise affine differential models for genetic networks (2009)
Chaves, Madalena, Tournier, Laurent, Gouze, Jean-Luc
Multi-level discrete models of genetic networks, or the more general piecewise affine differential models, provide qualitative information on the dynamics of the system, based on a small number of...
this paper, we show that it is sometimes possible to describe in a simple way some of the global features of (1).We shall give sucient conditions which ensure the existence of an equilibrium in a...
Hierarchical analysis of piecewise affine models of gene regulatory networks (2007)
Tournier, Laurent, Gouze, Jean-Luc
We propose in this report a method for the qualitative analysis of the dynamics of piecewise affine models of gene regulatory networks. Especially adapted to the framework of piecewise affine...
Hierarchical analysis of piecewise affine models of gene regulatory networks (2007)
Tournier, Laurent, Gouze, Jean-Luc
We propose in this report a method for the qualitative analysis of the dynamics of piecewise affine models of gene regulatory networks. Especially adapted to the framework of piecewise affine...
Hierarchical analysis of piecewise affine models of gene regulatory networks (2007)
Tournier, Laurent, Gouze, Jean-Luc
We propose in this report a method for the qualitative analysis of the dynamics of piecewise affine models of gene regulatory networks. Especially adapted to the framework of piecewise affine...
Hierarchical analysis of piecewise affine models of gene regulatory networks (2007)
Tournier, Laurent, Gouze, Jean-Luc
We propose in this report a method for the qualitative analysis of the dynamics of piecewise affine models of gene regulatory networks. Especially adapted to the framework of piecewise affine...
Vatcheva, Ivayla, Bernard, Olivier, Jong De, Hidde, Gouze, Jean-Luc, Mars, Nicolaas J.I.
Modeling an experimental system often results in a number of alternative models that are justified equally well by the experimental data. In order to discriminate between these models, additional...
Dynamical Behaviour of Lotka-Volterra Systems (2000)
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of species interactions), and associate with it a family of n-dimensional systems having the same phase...
Cet ouvrage constitue les actes d'une réunion du club EDORA, qui rassemble des biologistes, informaticiens et mathématiciens autour de la modélisation en biologie.
Cet ouvrage constitue les actes d'une réunion du club EDORA, qui rassemble des biologistes, informaticiens et mathématiciens autour de la modélisation en biologie.
Cet ouvrage constitue les actes d'une réunion du club EDORA, qui rassemble des biologistes, informaticiens et mathématiciens autour de la modélisation en biologie.
Transcient behavior of biological loop models with application to the droop model (1993)
In this paper we study the transient behavior of a class of non-linear differential systems verifying sign conditions, through the succession of extrema of the state variables. This analysis does not...
Transcient behavior of biological loop models with application to the droop model (1993)
Bernard, Olivier, Gouze, Jean-Luc
In this paper we study the transient behavior of a class of non-linear differential systems verifying sign conditions, through the succession of extrema of the state variables. This analysis does not...
Transcient behavior of biological loop models with application to the droop model (1993)
Bernard, Olivier, Gouze, Jean-Luc
In this paper we study the transient behavior of a class of non-linear differential systems verifying sign conditions, through the succession of extrema of the state variables. This analysis does not...
Global behaviour of polynomial differential systems in the positive orthant (1990)
We study polynomial n-dimensional differential systems defined in the positive orthant. By using tools from positivity and functions that decrease along the trajectories, we give sufficient...
Global behaviour of n-dimensional Lotka-Volterra systems (1990)
In this paper we study the behaviour of Lotka-Volterra systems; the principal tools are results from positivity and auxiliary functions that decrease along the trajectories; one typical result is...
Transformation of polynomial differential systems in the positive orthant (1990)
We study polynomial n-dimensional differential systems when the (n-dimensional) variable keeps the same sign; that is, the system is defined inside one of the orthants. We show it is always possible...
An inequality involving nonnegative matrices and increasing functions (1990)
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Global behaviour of polynomial differential systems in the positive orthant (1990)
We study polynomial n-dimensional differential systems defined in the positive orthant. By using tools from positivity and functions that decrease along the trajectories, we give sufficient...
Global behaviour of n-dimensional Lotka-Volterra systems (1990)
In this paper we study the behaviour of Lotka-Volterra systems; the principal tools are results from positivity and auxiliary functions that decrease along the trajectories; one typical result is...
Transformation of polynomial differential systems in the positive orthant (1990)
We study polynomial n-dimensional differential systems when the (n-dimensional) variable keeps the same sign; that is, the system is defined inside one of the orthants. We show it is always possible...
An inequality involving nonnegative matrices and increasing functions (1990)
Résumé disponible sur le PDF
Sciandra, Antoine, Gouze, Jean-Luc, Nival, Paul
A mathematical model of the reproduction of the copepod Centropages typicus is proposed, which takes into account the physiological processes involved in the transformation of available food into...
We study a rather general class of systems of ordinary differential equations in n-space that can be expressed as the difference of a quasi-monotone and a monotone increasing system. We associate to...
Structure et comportement des modeles mathematiques en biologie (1988)
Nous décrivons une méthodologie assez générale pour construire des modèles mathématiques en biologie. A partir de la structure du modèle, on peut déduire des résultats sur le comportement...
We study a rather general class of systems of ordinary differential equations in n-space that can be expressed as the difference of a quasi-monotone and a monotone increasing system. We associate to...
Structure et comportement des modeles mathematiques en biologie (1988)
Nous décrivons une méthodologie assez générale pour construire des modèles mathématiques en biologie. A partir de la structure du modèle, on peut déduire des résultats sur le comportement...