Kinetics of the cellular Potts model revisited

Details Kinetics of the cellular Potts model revisited Kinetics of the cellular Potts model revisited

Mar 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011njph...13c3035n&link_type=abstract

New Journal of Physics, Volume 13, Issue 3, pp. 033035 (2011).

Physics

Scientific paper

The relaxation kinetics of cell sorting are studied with the cellular Potts model. In contrast to previous reports, the increase in domain size is found to obey a power law (R(t)~tn). The growth exponent turns out to be n=1/3 for an even mixture of two cell types, where the domains for each cell type are interconnected and the kinetics are dominated by smoothing of the domain boundary. The exponent is n=1/4 for uneven mixtures where cell sorting proceeds via the diffusion-coalescence of circular cell domains. The exponent is explained by the decrease in motility of a cell cluster as a function of its size according to D(R)~R-2. Our results provide a theoretical framework for elucidating how cell populations migrate within tissue.

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