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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 cellpopulation in the epidermis is important for robust regenerationof the stratified epithelium. The population size is usuallyregulated by cell secreted extracellular signalling molecules aswell as intracellular molecules. In this paper, a simple modelincorporating both levels of regulation is developed to examinethe balance between growth and differentiation for the stem cellpopulation. In particular, the dynamics of a known differentiationregulator c-Myc, its threshold dependent differentiation, andfeedback regulation on maintaining a stable stem cell populationare investigated.

Keywords

cell divisioncell differentiationstem cellsthresholdcellpopulation 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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