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OALib Journal期刊
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Implementación de modelos biológicos de reacción-difusión mediante el método de los elementos finitos

Keywords: reaction-diffusion, biological models, finite elements method, numerical methods, mathematical biology.

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Abstract:

several mathematical models have been formulated to describe the biological formation of spatial-temporal patterns. these mathematical models are computationally solved using a wide set of numerical methods among which the finite differences method and the finite elements method are preferred. the aim of this work is to present the finite elements method implementation of a morphogenesis model, a pattern-formation model, and a cell-movement model. the results obtained are similar to those reported by other authors using other numerical approaches. this fact proves the technique to be suitable in the solution of these kind of models and supports our expectations for its use in the solution of complex biological models of growth and cell and tissue development.

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