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This paper focuses on the study of the Filament Based Lamellipodium Model(FBLM) and the corresponding Finite Element Method (FEM) from a numerical pointof view. We study fundamental numerical properties of the FEM and justify thefurther use of the FBLM. We exhibit that the FEM satisfies a timestep stabilitycondition that is consistent with the nature of the problem. We propose aparticular strategy to automatically adapt the time step of the method. We showthat the FEM convergences with respect to the (two-dimensional) spacediscretization in a series of characteristic and representative experiments. Weembed and couple the FBLM with a complex extracellular environment comprised ofchemical and haptic components and study their combined time evolution. Underthis prism, we study the sensitivity of the FBLM on several of its controllingparameters and discuss their influence in the development of the model.

Stability, convergence, and sensitivity analysis of the Filament Based Lamellipodium Model and the corresponding FEM