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Issue Math. Model. Nat. Phenom.
Volume 4, Number 4, 2009
Morphogenesis
Page(s) 103 - 117
DOI 10.1051/mmnp/20094403
Published online 11 July 2009

Math. Model. Nat. Phenom. Vol. 4, No. 4, 2009, pp. 103-117
DOI: 10.1051/mmnp/20094403

Multi-scale Modelling for Threshold Dependent Differentiation

A. Q. Cai1, 2, Y. Peng1, 2, J. Wells3, X. Dai3 and Q. Nie1, 2

1  Department of Mathematics, University of California, Irvine, USA
2  Center for Mathematical and Computational Biology, University of California, Irvine, USA
3  Department of Biological Chemistry, University of California, Irvine, USA

acai@uci.edu

Published online: 11 July 2009

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.


Mathematics Subject Classification. 92B05, 35L60

Key words: cell division -- cell differentiation -- stem cells -- threshold -- cell population balance model -- c-Myc -- epidermal development


© EDP Sciences 2009


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