Classifying general nonlinear force laws in cell-based models via the continuum limit

Journal article

Although discrete cell-based frameworks are now commonly used to simulate a whole range of biological phenomena, it is typically not obvious how the numerous different types of model are related to one another, nor which one is most appropriate in a given context. Here we demonstrate how individual cell movement on the discrete scale modeled using nonlinear force laws can be described by nonlinear diffusion coefficients on the continuum scale. A general relationship between nonlinear force la...

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Authors: Murray, P; Edwards, C; Tindall, M; Maini, P

• Publisher: American Physical Society
• Publication date: 2012-01-01