A MODEL FOR STEM CELL POPULATION DYNAMICS WITH REGULATED MATURATION DELAY

作者：Alarcon Tomas^*; Getto Philipp; Marciniak Czochra Anna; Vivanco Maria D M

来源：Discrete and Continuous Dynamical Systems, 2011, 32-43.

• state-dependent delay differential equation
• structured population model
• stem cells

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.

• 出版日期2011-9