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Stability analysis of a renewal equation for cell population dynamics with quiescence
We propose a model to analyze the dynamics of interacting proliferating and quiescent cell populations. The model includes age dependence of cell division, transitions between the two subpopulations, and regulation of the ...
Stability analysis of multi-compartment models for cell production systems
We study two-and three-compartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well ...
A model for stem cell population dynamics with regulated maturation delay
We develop a structured population model for the maturation process of stem cells in the form of a state-dependent delay differential equation. Moreover, results on existence, uniqueness and positivity of solutions as well ...