title: 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.
authors.affiliation: ICAM, WWU Münster, Münster, Germany. christina.surulescu@uni-muenster.de
authors.forename: Christina
authors.initials: C
authors.lastname: Surulescu
authors.forename: Nicolae
authors.initials: N
authors.lastname: Surulescu
mesh_terms: D000818:Animals; D002452:Cell Count; D002465:Cell Movement / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical