SOLUCIÓN COMPUTACIONAL DE MODELOS BIOLÓGICOS DE FORMACIÓN DE PATRONES ESPACIO-TEMPORALES.

Several mathematical models have been used to describe spatial-temporal patterns present in nature such as the skin pigmentation of some fishes and the tiger striped pattern. These mathematical models can be implemented using a wide set of numerical methods among which the finite differences method, the finite elements method and spectral methods are commonly used. In this work, a finite element method is described for the solution of two morphogenesis models, a pattern-formation model and a cell-movement model. The results obtained are similar to those reported by other authors using different numerical approaches. This fact proves the technique to be suitable in the solution of these models and supports our expectations for its use in the solution of complex biological models of growth and cell and tissue development. [ABSTRACT FROM AUTHOR]