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Numerical approximation of a mechanochemical interface model for skin appendage

Abstract:

We introduce a model for the mass transfer of molecular activators and inhibitors in two media separated by an interface, and study its interaction with the deformations exhibited by the two-layer skin tissue where they occur. The mathematical model results in a system of nonlinear advection-diffusion-reaction equations including cross-diffusion, and coupled with an interface elasticity problem. We propose a Galerkin method for the discretisation of the set of governing equations, involving a...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.jcp.2019.01.023

Authors


De Oliveira Vilaca, LM More by this author
Milinkovitch, MC More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
Elsevier Publisher's website
Journal:
Journal of Computational Physics Journal website
Volume:
384
Pages:
383-404
Publication date:
2019-02-04
Acceptance date:
2019-01-16
DOI:
ISSN:
0021-9991
Pubs id:
pubs:963264
URN:
uri:f72b4a1c-f0a1-4f49-8bb5-c601c769cb52
UUID:
uuid:f72b4a1c-f0a1-4f49-8bb5-c601c769cb52
Local pid:
pubs:963264

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