On Geometry and Scale of a Stochastic Chemostat |
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Authors: | Marc Joannides Irène Larramendy–Valverde |
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Affiliation: | 1. I3M UMR 5149 , Université de Montpellier 2 , Montpellier , France Marc.Joannides@univ-montp2.fr;3. I3M UMR 5149 , Université de Montpellier 2 , Montpellier , France |
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Abstract: | A chemostat is a fixed volume bioreactor in which micro–organisms are grown in a continuously renewed liquid medium. We propose a stochastic model for the evolution of the concentrations in the single species and single substrate case. It is obtained as a diffusion approximation of a pure jump Markov process, whose increments are comparable in mean with the deterministic model. A specific time scale, related to the noise intensity, is considered for each source of variation. The geometric structure of the problem, usable by identification procedures, is preserved both in the drift and diffusion term. We study the properties of this model by numerical experiments. |
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Keywords: | Chemostat Diffusion approximation Jump Markov process Monte Carlo |
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