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Cite Details

Mark Alber, Maria Kiskowski, Yi Jiang and Stuart Newman, "Biological Lattice Gas Models", in Dynamics and Bifurcation of Patterns in Dissipative Systems, World Scientific Series on Nonlinear Science, Volume 12 , pp. 272-291, 2004

Abstract

Modelling pattern formation and morphogenesis are fundamental prob- lems in biology. One useful approach involves lattice gases (LGCA) sys- tems. This paper reviews several stochastic lattice gas models for pattern formation in myxobacteria fruiting body morphogenesis and vertebrate limb skeletogenesis. The formation of fruiting bodies in myxobacteria is a complex mor- phological process that requires the organized, collective effort of tens of thousands of cells. Myxobacteria morphogenesis provides new insight into collective microbial behavior since morphogenic pattern formation is governed by cell-cell interactions rather than of chemotaxis. An model is described for the aggregation stage of fruiting body formation. Limb bud precartilage mesenchymal cells in micromass culture, un- dergo chondrogenic pattern formation which results in the formation of regularly-spaced "islands" of cartilage analogous to the cartilage primor- dia of the developing limb skeleton. An LGCA model is described for this process based on reaction-diffusion coupling and cell-matrix adhesion.

BibTeX Entry

@inproceedings{alber-2004-lgcarev,
author = {Mark Alber and Maria Kiskowski and Yi Jiang and Stuart Newman},
title = {Biological Lattice Gas Models},
year = {2004},
urlpdf = {http://math.lanl.gov/~yi/Papers/alber-2004-lgcarev.pdf},
booktitle = {Dynamics and Bifurcation of Patterns in Dissipative Systems, World Scientific Series on Nonlinear Science, Volume 12 },
pages = {272-291}
}