To describe the biological cell movement a continuous model was constructed using a descrete Potts model. An expression for the diffusion coefficient of a collection on noninteraction cells which depends explicitly on the Potts model parameter was also developed. It was found that the coefficient varies when the Potts parameters for cell membrane cell membrane elasticity and cell-medium adhesion are varied. The relationship between the probability of occupancy of lattice points and the density profile in the continuous limit was also explained.

From a discrete to a continuous model of biological cell movement / Turner, S.; Sherratt, J. A.; Painter, K. J.; Savill, N. J.. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 69:(2004), p. 21910. [10.1103/PhysRevE.69.021910]

From a discrete to a continuous model of biological cell movement

Painter K. J.;
2004

Abstract

To describe the biological cell movement a continuous model was constructed using a descrete Potts model. An expression for the diffusion coefficient of a collection on noninteraction cells which depends explicitly on the Potts model parameter was also developed. It was found that the coefficient varies when the Potts parameters for cell membrane cell membrane elasticity and cell-medium adhesion are varied. The relationship between the probability of occupancy of lattice points and the density profile in the continuous limit was also explained.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2974134