Geodesic
Multi-scale Modelling for Threshold Dependent Differentiation
A. Q. Cai1, 2 ; Y. Peng1, 2 ; J. Wells3 ; X. Dai3 ; 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
Mathematical modelling of natural phenomena, Tome 4 (2009) no. 4, pp. 103-117.

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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.
DOI : 10.1051/mmnp/20094403

A. Q. Cai 1, 2 ; Y. Peng 1, 2 ; J. Wells 3 ; X. Dai 3 ; Q. Nie 1, 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 
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A. Q. Cai; Y. Peng; J. Wells; X. Dai; Q. Nie. Multi-scale Modelling for Threshold Dependent Differentiation. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 4, pp. 103-117. doi : 10.1051/mmnp/20094403. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20094403/

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