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Mathematical modelling of anisotropy in fibrous connective tissue

Abstract:

We present two modelling frameworks for studying dynamic anistropy in connective tissue, motivated by the problem of fibre alignment in wound healing. The first model is a system of partial differential equations operating on a macroscopic scale. We show that a model consisting of a single extracellular matrix material aligned by fibroblasts via flux and stress exhibits behaviour that is incompatible with experimental observations. We extend the model to two matrix types and show that the res...

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Publication date:
1999-01-01
URN:
uuid:08ea58b8-1139-44a4-a559-9faca3cde6da
Local pid:
oai:eprints.maths.ox.ac.uk:429

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