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Multi-scale modelling for threshold dependent differentiation. (English) Zbl 1167.92010

Summary: 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.

MSC:

92C37 Cell biology
35Q92 PDEs in connection with biology, chemistry and other natural sciences
35L60 First-order nonlinear hyperbolic equations
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