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Article Dans Une Revue Systems Analysis Modelling Simulation Année : 2001

A MODEL OF METABOLIC PROCESSES IN A HETEROGENEOUS MILIEU: FUNCTIONAL AND NUMERICAL SOLUTIONS

Résumé

A general system that can be used for the modelization of metabolic pathways dynamics in a heterogeneous milieu is presented. It consists in a set of nonlinear reaction-diffusion equations, involving a convection term originating from the transport of metabolites by an electric field. The functional study is focused on the existence, uniqueness, and positiveness of the solution. A numerical algorithm based on a mixed finite element method is presented, and illustrative examples are also given.
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hal-00967556 , version 1 (05-04-2014)

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  • HAL Id : hal-00967556 , version 1

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Robert Costalat, Jean-Paul Morillon, Jacques Burger. A MODEL OF METABOLIC PROCESSES IN A HETEROGENEOUS MILIEU: FUNCTIONAL AND NUMERICAL SOLUTIONS. Systems Analysis Modelling Simulation, 2001, 40, pp.383-401. ⟨hal-00967556⟩
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