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| Analysis of a System Describing Proliferative-Quiescent Cell Dynamics |
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Citation： |
Jean CLAIRAMBAULT,Beno^ i t PERTHAME,Andrada Quillas MARAN.Analysis of a System Describing Proliferative-Quiescent Cell Dynamics[J].Chinese Annals of Mathematics B,2018,39(2):345~356 |
| Page view： 1105
Net amount： 684 |
Authors： |
Jean CLAIRAMBAULT; Beno^ i t PERTHAME;Andrada Quillas MARAN |
Foundation： |
This work was supported by the European Research Council
(ERC) under the European Union's Horizon 2020 Research and
Innovation Programme (No.740623). |
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| 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, the authors
introduce a new method, based on an energy/Lyapunov functional to
analyze the long time behavior of solutions. Compared to existing
works, the method in this paper has the advantage that it can be
extended to more complex situations. The authors treat a system with
space variable and diffusion, and then adapt the energy functional
to models with three equations. |
Keywords： |
Stability analysis, Lyapunov functional, Energy method, Parabolicsystems, Proliferative and quiescent cells, Tumor growth,Hematopoiesis |
Classification： |
37B25, 35K91, 92D25 |
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