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Theses

Modélisation structurée de la croissance du phytoplancton en chemostat

Julien Arino
Abstract : This thesis deals with the formulation and analysis of structured models of growth in a chemostat, an experimental device used for the culture of micro-organisms in idealized conditions. More specifically, we will be concerned with the description of the size of phytoplanktonic organisms. In a first part, we give some biological indications concerning phytoplankton, then describe the experimental apparatus and finally introduce the mathematical models used for an elementary description of the chemostat. The second and main part of this thesis begins by an introduction to structured population models, with emphasis on cellular division description. Then time discrete models describing in a detailed way cellular division are studied, followed by ordinary differential equations systems verifying the mass conservation principle, and finally by a class of models that do not verify this property. We end this thesis by considering possible applications to other contexts or populations of the type of models developped herein.
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Submitted on : Sunday, November 24, 2002 - 2:48:17 AM
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Julien Arino. Modélisation structurée de la croissance du phytoplancton en chemostat. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2001. Français. ⟨tel-00002006⟩

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