A model for stem cell population dynamics with regulated maturation delay | Zendy

Tomás Alarcón | Zendy; Philipp Getto | Zendy; Anna MarciniakCzochra | Zendy; María dM Vivanco | Zendy

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A model for stem cell population dynamics with regulated maturation delay

Author(s) -

Tomás Alarcón,

Philipp Getto,

Anna MarciniakCzochra,

María dM Vivanco

Publication year - 2011

Publication title -

conference publications

Language(s) - English

Resource type - Book series

DOI - 10.3934/proc.2011.2011.32

Subject(s) - uniqueness , dynamics (music) , population , state (computer science) , mathematics , mathematical economics , physics , mathematical analysis , demography , sociology , algorithm , acoustics

We develop a structured population model for the maturation pro- cess of stem cells in the form of a state-dependent delay dierential equation. Moreover, results on existence, uniqueness and positivity of solutions as well as conditions of existence for equilibria and representations of these are es- tablished. We give biological interpretations for the conditions of existence of equilibria.

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