A MULTISCALE APPROACH TO CELL MIGRATION IN TISSUE NETWORKS-Reference-Cited by-同舟云学术

A MULTISCALE APPROACH TO CELL MIGRATION IN TISSUE NETWORKS

Published:2012-03 Issue:03 Volume:22 Page:1150017
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

KELKEL JAN¹,SURULESCU CHRISTINA²

Affiliation:

1. Institute for Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

2. Institute for Computational and Applied Mathematics, University of Münster, Einsteinstr. 62, 48149 Münster, Germany

Abstract

We derive a multiscale model for tumor cell migration allowing to account for the receptor-mediated movement of the cells, the degradation of tissue fibers and the subsequent production of a soluble ligand whose concentration gradient then acts together with the distribution of tissue fibers as a directional cue for the cells. For this model we present a result on the local existence and uniqueness of a solution in all biologically relevant space dimensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511500175

Reference40 articles.

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3. From microscopic to macroscopic description of multicellular systems and biological growing tissues

4. MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

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