Global existence for a degenerate haptotaxis model of cancer invasion

Anna Zhigun; Christina Surulescu; Aydar Uatay

doi:10.1007/s00033-016-0741-0

Global existence for a degenerate haptotaxis model of cancer invasion

Anna Zhigun, Christina Surulescu, Aydar Uatay

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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 behavior by numerical simulations for a two-dimensional setting.

Original language	English
Article number	146
Number of pages	29
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	67
Issue number	146
Early online date	07 Nov 2016
DOIs	https://doi.org/10.1007/s00033-016-0741-0
Publication status	Published - 01 Dec 2016

Keywords

Cancer cell invasion
Degenerate diffusion
Global existence
Haptotaxis
Parabolic system
Weak solution

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Cite this

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AU - Surulescu, Christina

AU - Uatay, Aydar

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N2 - 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.

AB - 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.

KW - Cancer cell invasion

KW - Degenerate diffusion

KW - Global existence

KW - Haptotaxis

KW - Parabolic system

KW - Weak solution

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DO - 10.1007/s00033-016-0741-0

M3 - Article

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Global existence for a degenerate haptotaxis model of cancer invasion

Abstract

Keywords

UN SDGs

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Anna Zhigun

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Global existence for a degenerate haptotaxis model of cancer invasion

Abstract

Keywords

UN SDGs

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Anna Zhigun

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