منابع مشابه
The Simple Chemostat with Wall Growth
A model of the simple chemostat which allows for growth on the wall (or other marked surface) is presented as three nonlinear ordinary differential equations. The organisms which are attached to the wall do not wash out of the chemostat. This destroys the basic reduction of the chemostat equations to a monotone system, a technique which has been useful in the analysis of many chemostat-like equ...
متن کاملA simple unforced oscillatory growth model in the chemostat.
In a chemostat, transient oscillations in cell number density are often experimentally observed during cell growth. The aim of this paper is to propose a simple autonomous model which is able to generate these oscillations, and to investigate it analytically. Our point of view is based on a simplification of the cell cycle in which there are two states (mature and immature) with the transfer be...
متن کاملStructured cell growth models in a chemostat
In this paper, we want to describe the growth of the cell during its cycle; we construct some structured ODE models in low dimension. The structuration in ODE models takes account of the different stages in the cell evolution. This kind of modelisation allows richer mathematical behavior than classical unstructured models. As oscillatory behaviors can be observed in biological experiences [3], ...
متن کاملStochastic models of the chemostat
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 ...
متن کاملStochastic models for the chemostat
The chemostat is classically represented, at high population scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at different scales: from the small population scale to the scale immediately preceding the one corresponding to the deterministic model. At a microscopic scale we present a pure jump stochastic model that gives ri...
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ژورنال
عنوان ژورنال: Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées
سال: 2008
ISSN: 1638-5713
DOI: 10.46298/arima.1895