Models for contact-mediated pattern formation: cells that form parallel arrays.

L Edelstein-Keshet; G B Ermentrout

doi:10.1007/bf00173908

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Models for contact-mediated pattern formation: cells that form parallel arrays.

L Edelstein-Keshet·G B Ermentrout

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Abstract

Kinetic continuum models are derived for cells that crawl over a 2D substrate, undergo random reorientation, and turn in response to contact with a neighbor. The integro-partial differential equations account for changes in the distribution of orientations in the population. It is found that behavior depends on parameters such as total mass, random motility, adherence, and sloughing rates, as well as on broad aspects of the contact response. Linear stability analysis, and numerical, and cellular automata simulations reveal that as parameters are varied, a bifurcation leads to loss of stability of a uniform (isotropic) steady state, in favor of an (anisotropic) patterned state in which cells are aligned in parallel arrays.

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Animals Cell Communication Cell Movement Cell Physiological Phenomena Fourier Analysis Mathematics Models, Biological Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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L Edelstein-Keshet, G B Ermentrout. 1990. Models for contact-mediated pattern formation: cells that form parallel arrays.. https://doi.org/10.1007/bf00173908

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