A comparison of the dynamics of the structured cell population in virtual and experimental Proteus mirabilis swarm colonies

We present size distributions of Proteus mirabilis cells obtained from age- and space-structured models and simulations of swarm colonies, and compare them to experimental results from the manuscript of Matsuyama et al. [T. Matsuyama, Y. Takagi, Y. Nakagawa, H. Itoh, J. Wakita, M. Matsushita, Dynami...

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Bibliographic Details
Published in:Applied numerical mathematics 2009-03, Vol.59 (3), p.487-494
Main Author: Ayati, Bruce P.
Format: Article
Language:English
Subjects:
Age structure
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematics
Natural age-grid Galerkin methods
Numerical analysis
Numerical analysis. Scientific computation
Proteus mirabilis
Sciences and techniques of general use
Size structure
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:We present size distributions of Proteus mirabilis cells obtained from age- and space-structured models and simulations of swarm colonies, and compare them to experimental results from the manuscript of Matsuyama et al. [T. Matsuyama, Y. Takagi, Y. Nakagawa, H. Itoh, J. Wakita, M. Matsushita, Dynamic aspects of the structured cell population in a swarming colony of Proteus mirabilis, J. Bacteriol. 182 (2000) 385–393] that considers the evolution of the cell size structure at fixed points in the colony. Our comparison clarifies the importance of including explicit age structure in models of Proteus mirabilis swarm-colony development, as opposed to reaction–diffusion models that homogenize the system in age. We close with a discussion of our scientific computing methodology and how it enables modelers to move beyond reaction–diffusion models of biological pattern formation and include within their models the distributions of important traits of individuals.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2008.03.023