Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 67, Issue 6, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-016-0741-0
Keywords
Cancer cell invasion; Degenerate diffusion; Global existence; Haptotaxis; Parabolic system; Weak solution
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Funding
- German Research Foundation (DFG) [SU 807/1-1]
- German Academic Exchange Service (DAAD)
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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 behavior by numerical simulations for a two-dimensional setting.
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