Stochastic models of the chemostat

Details Stochastic models of the chemostat Stochastic models of the chemostat

2010-11-22

arxiv.org/abs/1011.5108v2

N° RR-7458 (2010)

Biology

Quantitative Biology

Quantitative Methods

Scientific paper

We consider the modeling of the dynamics of the chemostat at its very source. The chemostat is classically represented as a system of ordinary differential equations. Our goal is to establish a stochastic model that is valid at the scale immediately preceding the one corresponding to the deterministic model. At a microscopic scale we present a pure jump stochastic model that gives rise, at the macroscopic scale, to the ordinary differential equation model. At an intermediate scale, an approximation diffusion allows us to propose a model in the form of a system of stochastic differential equations. We expound the mechanism to switch from one model to another, together with the associated simulation procedures. We also describe the domain of validity of the different models.

Affiliated with

Also associated with

No associations

Rating

Stochastic models of the chemostat does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stochastic models of the chemostat, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic models of the chemostat will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658318