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

Christina Surulescu; Nicolae Surulescu

doi:10.3934/mbe.2011.8.263

Article Contents

2011, Volume 8, Issue 2: 263-277. Doi: 10.3934/mbe.2011.8.263

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

Christina Surulescu^1, and
Nicolae Surulescu^1,

1.
ICAM, WWU Münster, Einsteinstr. 62, 48149 Münster

Received: January 31, 2010

Revised: November 30, 2010

Published: March 2011

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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:

Mathematics Subject Classification: Primary: 92C17, 82C31, 60H10; Secondary: 60K40, 65C20, 62G07.

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