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arXiv · 1512.04287

Global existence for a degenerate haptotaxis model of cancer invasion

Anna Zhigun·Christina Surulescu·Aydar Uatay
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Abstract

We propose and study a strongly coupled PDE-ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix. We prove the global existence of weak solutions and illustrate the model behaviour by numerical simulations for a two-dimensional setting.

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Anna Zhigun, Christina Surulescu, Aydar Uatay. 2015-12-14. Global existence for a degenerate haptotaxis model of cancer invasion. https://doi.org/10.1007/s00033-016-0741-0

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