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Analysis of a system describing proliferative-quiescent cell dynamics

Abstract : Systems describing the dynamics of proliferative and quiescent cells are commonly used as computational models, for instance for tumor growth and hematopoiesis. Focusing on the very earliest stages of hematopoiesis, stem cells and early progenitors, we introduce a new method, based on an energy/Lyapunov functional to analyze the long time behavior of solutions. Compared to existing works, our method has the advantage that is can be extended to more complex situations. We treat a systems with space variable and diffusion, then we adapt the energy functional to models with three equations.
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https://hal.sorbonne-universite.fr/hal-01674142
Contributor : Benoît Perthame <>
Submitted on : Monday, January 1, 2018 - 10:02:12 PM
Last modification on : Friday, April 10, 2020 - 5:19:42 PM
Document(s) archivé(s) le : Wednesday, May 2, 2018 - 1:12:25 PM

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  • HAL Id : hal-01674142, version 1

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Jean Clairambault, Benoît Perthame, Andrada Quillas Maran. Analysis of a system describing proliferative-quiescent cell dynamics. Chinese Annals of Mathematics - Series B, Springer Verlag, 2018, pp.1-13. ⟨hal-01674142⟩

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