Mathematical Biosciences and Engineering, 2011, 8(2): 575-589. doi: 10.3934/mbe.2011.8.575.

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On some models for cancer cell migration through tissue networks

1. IANS, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart
2. INAM, University of Münster, Einsteinstrasse 62, 48149 Münster

We propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell population.
   For a genuinely mesoscopic version of these models we also provide a result on the local existence and uniqueness of a solution for all biologically relevant space dimensions.
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Keywords Tumor cell migration; iterative method.; multiscale models

Citation: Jan Kelkel, Christina Surulescu. On some models for cancer cell migration through tissue networks. Mathematical Biosciences and Engineering, 2011, 8(2): 575-589. doi: 10.3934/mbe.2011.8.575

 

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