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.
Citation: Christina Surulescu, Nicolae Surulescu. Modeling and simulation of some cell dispersion problems by a nonparametric method[J]. Mathematical Biosciences and Engineering, 2011, 8(2): 263-277. 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.