Mathematical Biosciences and Engineering, 2011, 8(2): 263-277. doi: 10.3934/mbe.2011.8.263.

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

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

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


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.
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Keywords velocity jump processes; nonparametric density estimation.; Cell movement

Citation: Christina Surulescu, Nicolae Surulescu. Modeling and simulation of some cell dispersion problems by a nonparametric method. Mathematical Biosciences and Engineering, 2011, 8(2): 263-277. doi: 10.3934/mbe.2011.8.263


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