A model for stem cell population dynamics with regulated maturation delay
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 est...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Kapitel/Artikel Konferenzschrift |
| Sprache: | Englisch |
| Veröffentlicht: |
2011
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| In: |
Dynamical systems, differential equations and applications
Year: 2011, Pages: 32-43 |
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| Verfasserangaben: | Tomas Alarcon, Philipp Getto, Anna Marciniak-Czochra, Maria Dm Vivanco |
| Zusammenfassung: | 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. |
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| ISBN: | 9781601330079 1601330073 |