Jean-Luc Gouzé ; Valérie Lemesle - Two simple growth models in the chemostat

arima:1895 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, September 2, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1895
Two simple growth models in the chemostat

Authors: Jean-Luc Gouzé ; Valérie Lemesle

    In a chemostat, transient oscillations are often experimentally observed during cell growth. The aim of this paper is to propose simple autonomous models which are able (or not) to generate these oscillations, and to investigate them 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 between the two dependent on the available resources. We built two similar models, one with cell biomass and the other with cell number density. We prove that the first one oscillates, but not the second. This paper is dedicated to Claude Lobry, who helped us to build a first version of these models.


    Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
    Published on: September 2, 2008
    Submitted on: February 18, 2008
    Keywords: chemostat, cell growth, oscillations,hémostat,croissance cellulaire,oscillations,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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