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Models of collective cell motion for cell populations with different aspect ratio: Diffusion, proliferation and travelling waves

Abstract:

Continuum, partial differential equation models are often used to describe the collective motion of cell populations, with various types of motility represented by the choice of diffusion coefficient, and cell proliferation captured by the source terms. Previously, the choice of diffusion coefficient has been largely arbitrary, with the decision to choose a particular linear or nonlinear form generally based on calibration arguments rather than making any physical connection with the underlyi...

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Publisher copy:
10.1016/j.physa.2012.01.009

Authors


Simpson, MJ More by this author
Journal:
Physica A: Statistical Mechanics and its Applications
Volume:
391
Issue:
14
Pages:
3729-3750
Publication date:
2012-07-15
DOI:
ISSN:
0378-4371
URN:
uuid:6a68e1aa-11d7-4ecf-9b84-3bd617a89065
Source identifiers:
325284
Local pid:
pubs:325284

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