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A “Go or Rest” model for cell migration. A step forward toward the “Go or Grow” modelling
by
Dr. Arnaud Chauvière
Technische Universitaet Dresden - Germany
Coauthors: Haralambos Hatzikirou and Andreas Deutsch
Cell migration is an essential feature of, either physiologic or pathologic, phenomena in biology, such as embryonic development, wound healing or tumor invasion. According to the local microenvironment and the cell function, the characteristics of the migration may vary considerably.
Here we look closer at the influence of the cell density on the migration dynamics, and we assume two different regimes: when cells are isolated, the corresponding motion is essentially characterized by a sequence of “runs” separated by random reorientations of the velocity; in denser areas, migrating cells interact with other cells and “collision effects” become relevant.
Additionally a “resting” regime is included in the migration modelling. This can either result from environmental conditions or relates to a strategy of cells to fulfil efficiently their function. As an example, cells undergo mitosis only under favourable environmental conditions, and an immotile state is then required. A second illustration is the “Go or Grow” hypothesis currently accepted in the biology of brain tumor invasion.
A kinetic (mesoscopic) model is first derived and a continuous (macroscopic) model is deduced as its diffusive limit. This so-called “Go or Rest” model provides anomalous diffusion which is furthermore analyzed.
The model is then extended to include proliferating phenomena. The study of the invasive front will aim to understand heterogeneous patterns observed in tumor invasion.
Date received: May 14, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawd-99.