A MODEL OF METABOLIC PROCESSES IN A HETEROGENEOUS MILIEU: FUNCTIONAL AND NUMERICAL SOLUTIONS
Costalat, Robert ; Morillon, Jean-Paul ; Burger, Jacques
HAL, hal-00967556 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-01-08
Classification:  Enzyme organization,  metabolic pathways,  reaction-diffusion PDE,  [SDV.BC.IC]Life Sciences [q-bio]/Cellular Biology/Cell Behavior [q-bio.CB],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00967556,
     author = {Costalat, Robert and Morillon, Jean-Paul and Burger, Jacques},
     title = {A MODEL OF METABOLIC PROCESSES IN A HETEROGENEOUS MILIEU: FUNCTIONAL AND NUMERICAL SOLUTIONS},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00967556}
}

Costalat, Robert; Morillon, Jean-Paul; Burger, Jacques. A MODEL OF METABOLIC PROCESSES IN A HETEROGENEOUS MILIEU: FUNCTIONAL AND NUMERICAL SOLUTIONS. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00967556/