Alarcon, Tomas; Getto, Philipp; Marciniak-Czochra, Anna; Vivanco, Maria dM A model for stem cell population dynamics with regulated maturation delay. (English) Zbl 1306.92041 Discrete Contin. Dyn. Syst. 2011, Suppl., 32-43 (2011). Summary: 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 as conditions of existence for equilibria and representations of these are established. We give biological interpretations for the conditions of existence of equilibria. Cited in 7 Documents MSC: 92D25 Population dynamics (general) Keywords:state-dependent delay differential equation; structured population model; stem cells PDFBibTeX XMLCite \textit{T. Alarcon} et al., Discrete Contin. Dyn. Syst. 2011, 32--43 (2011; Zbl 1306.92041) Full Text: Link