Modeling and simulation of some cell dispersion problems by a nonparametric method

Abstract

Starting from the classical descriptions of cell motion we propose some ways to enhance the realism of modeling and to account for interesting features like allowing for a random switching between biased and unbiased motion or avoiding a set of obstacles.For this complex behavior of the cell population we propose new models and also provide a way to numerically assess the macroscopic densities of interest upon using a nonparametric estimation technique.Up to our knowledge, this is the only method able to numerically handle the entire complexity of such settings.

Keywords

• velocity jump processes
• nonparametric density estimation.
• cell movement