A discrete, size-structured model of phytoplankton growth in the chemostat. Introduction of inhomogeneous cell division size (bibtex)

by J. Arino, J.-L. Gouzé, A. Sciandra

Abstract:

We introduce inhomogeneous, substrate dependent cell division in a time discrete, nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [8] and later analysed by Smith [13]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. Then we run numerical simulations of the system, and compare the predictions of the model to data related to phytoplankton growth, whose obtention we discuss. We end with the identification of several parameters of the system.

Reference:

A discrete, size-structured model of phytoplankton growth in the chemostat. Introduction of inhomogeneous cell division size (J. Arino, J.-L. Gouzé, A. Sciandra), In Journal of Mathematical Biology, volume 45, 2002. (Also INRIA Research Report 3963)

Bibtex Entry:

@Article{ArinoGouzeSciandra2002, Title = {{A discrete, size-structured model of phytoplankton growth in the chemostat. {I}ntroduction of inhomogeneous cell division size}}, Author = {Arino, J. and Gouz{\'e}, J.-L. and Sciandra, A.}, Journal = {Journal of Mathematical Biology}, Year = {2002}, Note = {Also INRIA Research Report 3963}, Number = {4}, Pages = {313--336}, Volume = {45}, Abstract = {We introduce inhomogeneous, substrate dependent cell division in a time discrete, nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [8] and later analysed by Smith [13]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. Then we run numerical simulations of the system, and compare the predictions of the model to data related to phytoplankton growth, whose obtention we discuss. We end with the identification of several parameters of the system.}, Doi = {10.1007/s002850200160}, Keywords = {chemostat; structured population models; discrete model; inhomogeneous division size}, Owner = {jarino}, Timestamp = {21.10.2007}, Url = {http://server.math.umanitoba.ca/~jarino/papers/ArinoGouzeSciandra-2002-JMB45.pdf} }

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