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A continuum model of the growth of engineered epidermal skin substitutes

Adams, Matthew P., Mallet, Daniel G., & Pettet, Graeme J. (2012) A continuum model of the growth of engineered epidermal skin substitutes. In Proceedings of the 10th Biennial Engineering Mathematics and Applications Conference, The ANZIAM Journal, Australia and New Zealand Industrial and Applied Mathematics, University of Technology Sydney, N.S.W, C90-C109.

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Abstract

We present a porous medium model of the growth and deterioration of the viable sublayers of an epidermal skin substitute. It consists of five species: cells, intracellular and extracellular calcium, tight junctions, and a hypothesised signal chemical emanating from the stratum corneum. The model is solved numerically in Matlab using a finite difference scheme. Steady state calcium distributions are predicted that agree well with the experimental data. Our model also demonstrates epidermal skin substitute deterioration if the calcium diffusion coefficient is reduced compared to reported values in the literature.

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ID Code: 49879
Item Type: Conference Paper
Keywords: epidermis, epithelium, skin substitute, porous medium, calcium gradient
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 please consult the authors
Deposited On: 04 May 2012 10:38
Last Modified: 11 May 2012 13:26

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