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Numerical interactions of random and directed motility during cancer invasion

Abstract:

The continuum modelling of cell migration during cancer invasion results in the coupling of parabolic and hyperbolic partial differential equations (PDEs) arising from the random motility of normal tissue and the directed movement up substrate gradients of malignant cells. The numerical solution of such systems of equations require different stability criteria being simultaneously satisfied. We show that in such a coupled system, the origins of numerical instability can be identified by analy...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
MATHEMATICAL AND COMPUTER MODELLING
Volume:
30
Issue:
7-8
Pages:
123-133
Publication date:
1999-10-05
DOI:
ISSN:
0895-7177
URN:
uuid:70c57c76-2222-4275-927c-48fdf4ada649
Source identifiers:
16691
Local pid:
pubs:16691

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