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

Math Biosci Eng. 2011 Apr;8(2):263-77. doi: 10.3934/mbe.2011.8.263.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Cell Count*
  • Cell Movement / physiology*
  • Computer Simulation
  • Humans
  • Models, Biological*
  • Models, Statistical*