Cattaneo models for chemosensitive movement. Numerical solution and pattern formation.

Y Dolak; T Hillen

doi:10.1007/s00285-002-0173-7

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Cattaneo models for chemosensitive movement. Numerical solution and pattern formation.

Y Dolak·T Hillen

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Abstract

We derive models for chemosensitive movement based on Cattaneo's law of heat propagation with finite speed. We apply the model to pattern formation as observed in experiments with Dictyostelium discoideum, with Salmonella typhimurium and with Escherichia coli. For Salmonella typhimurium we make predictions on pattern formation which can be tested in experiments. We discuss the relations of the Cattaneo models to classical models and we develop an effective numerical scheme.

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Animals Cell Aggregation Cell Movement Chemotactic Factors Chemotaxis Computer Simulation Dictyosteliida Escherichia coli Models, Biological Motion Salmonella typhimurium Species Specificity Comparative Study Journal Article Research Support, Non-U.S. Gov't

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Y Dolak, T Hillen. 2003. Cattaneo models for chemosensitive movement. Numerical solution and pattern formation.. https://doi.org/10.1007/s00285-002-0173-7

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