A model for stem cell population dynamics with regulated maturation delay

• Verfasst von: Alarcón, Tomás [VerfasserIn]
• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: A model for stem cell population dynamics with regulated maturation delay
• Verf.angabe: Tomas Alarcon, Philipp Getto, Anna Marciniak-Czochra, Maria Dm Vivanco
• Umfang: 12 S.
• Titel Quelle: Enthalten in: Dynamical systems, differential equations and applications
• Jahr Quelle: 2011
• Band/Heft Quelle: (2011), S. 32-43
• ISBN Quelle: 978-1-60133-007-9
• ISBN Quelle: 1-60133-007-3
• Sprache: eng
• K10plus-PPN: 157701572X

Abstract

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.