Stochastic modeling of stem-cell dynamics with control

• Published in: Mathematical biosciences Vol. 240; no. 2; pp. 231 - 240
• Main Authors: Sun, Zheng, Komarova, Natalia L.
• Format: Journal Article
• Language: English
• Published: United States Elsevier Inc 01.12.2012
• Subjects: Cell Differentiation - physiology; Cell proliferation; Control loops; Differentiation; Feedback loops; homeostasis; Mathematical modeling; Models, Biological; Numerical Analysis, Computer-Assisted; population dynamics; population size; Proliferation control; Stem cells; Stem Cells - cytology; Stem Cells - physiology; Stochastic Processes; Mathematical modeling; Feedback loops; Differentiation; Proliferation control; Stem cells; Control loops

► We study stochastic regulation of stem-cell renewall. ► Stochastic systems with no control are subject to extinction/overflow. ► Analytical solutions for mean and variance with nonlinear control are found. ► For hyperbolic control, there is a trade-off between fluctuations and robustness. ► For Hi...