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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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A Semi-discrete Biofilm Model
by
Hassan Khassehkhan
Dept. Mathematics and Statistics, Univ. Guelph
Coauthors: Hermann J. Eberl, Dept. Math and Stats. Univ. Guelph

Bacterial biofilms are (often spatially highly heterogeneous) accumulations of microorganisms on surfaces in aqueous environments. The past decade saw a huge activity in modeling the development of those structures, using either discrete stochastic models or continuous deterministic models. We discuss a system of ODEs on a lattice structure that can be understood as a link between representatives of both approaches. We present model formulation, some analytical results and show numerical simulations.

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Date received: August 30, 2007


Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-60.