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A phase field model for stem cell differentiation

✍ Scribed by Gabriele Witterstein

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
197 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Our aim is to develop a two‐dimensional model describing the dynamics of stem cell differentiation. Here we regard the differentiation process as a phase change in the biological material. The resulting phase field model is coupled with the description of liquid flows representing the motility of the cytoplasm. We show that in the process of phase change an additional stress force acts on the liquid particle. On assuming this additional force we can demonstrate that for the process of chemical‐induced differentiation the second law of thermodynamics is fulfilled. The entropy inequality ensures that the proposed model is consistent with thermodynamics. Copyright Β© 2008 John Wiley & Sons, Ltd.

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