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Stability analysis of a renewal equation for cell population dynamics with quiescence
(2014-12-31)
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 ...
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms
(2013-12-31)
We present a global stability analysis of two-compartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell ...
Stability analysis of multi-compartment models for cell production systems
(2012-12-31)
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 ...