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Australian Mathematical Society, ANZIAM Journal : Electronic Supplement, (52), p. 90

DOI: 10.21914/anziamj.v53i0.5075

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A continuum model of the growth of engineered epidermal skin substitutes

Journal article published in 2011 by Matthew Philip Adams ORCID, Dann G. Mallet, G. J. Pettet
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.