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Multi-scale Modelling for Threshold Dependent Differentiation

Published online by Cambridge University Press:  11 July 2009

A. Q. Cai ,
Y. Peng ,
J. Wells ,
X. Dai  and
Q. Nie
A. Q. Cai*
Affiliation:
Department of Mathematics, University of California, Irvine, USA Center for Mathematical and Computational Biology, University of California, Irvine, USA
Y. Peng
Affiliation:
Department of Mathematics, University of California, Irvine, USA Center for Mathematical and Computational Biology, University of California, Irvine, USA
J. Wells
Affiliation:
Department of Biological Chemistry, University of California, Irvine, USA
X. Dai
Affiliation:
Department of Biological Chemistry, University of California, Irvine, USA
Q. Nie
Affiliation:
Department of Mathematics, University of California, Irvine, USA Center for Mathematical and Computational Biology, University of California, Irvine, USA
*
acai@uci.edu
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Abstract

The maintenance of a stable stem cell population in the epidermis is important for robust regeneration of the stratified epithelium. The population size is usually regulated by cell secreted extracellular signalling molecules as well as intracellular molecules. In this paper, a simple model incorporating both levels of regulation is developed to examine the balance between growth and differentiation for the stem cell population. In particular, the dynamics of a known differentiation regulator c-Myc, its threshold dependent differentiation, and feedback regulation on maintaining a stable stem cell population are investigated.

Keywords

cell divisioncell differentiationstem cellsthresholdcell population balance modelc-Mycepidermal development
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 4: Morphogenesis , 2009 , pp. 103 - 117
Copyright
© EDP Sciences, 2009

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