Cattaneo models for chemosensitive movement: numerical solution and pattern formation.
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.
TU Wien, Institut für Angewandte und Numerische Mathematik, Wiedner Hauptstr. 8-10, 1040 Wien, Austria. yasmin.dolak@tuwien.ac.at
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D000818:Animals; D002449:Cell Aggregation / Q000502:physiology; D002465:Cell Movement / Q000502:physiology; D002630:Chemotactic Factors / Q000502:physiology; D002633:Chemotaxis / Q000502:physiology*; D004023:Dictyostelium / Q000502:physiology; D004926:Escherichia coli / Q000502:physiology; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D012486:Salmonella typhimurium / Q000502:physiology; D013045:Species Specificity
D002630:Chemotactic Factors