Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces.
Necessary conditions of optimality for second-order nonlinear impulsive differential equations.
Multi-scale Modelling for Threshold Dependent Differentiation
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,...
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