Asymptotic behavior of a singular transport equation modelling cell division
Open Access
- 1 January 2003
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems-Series B
- Vol. 3 (3) , 439-456
- https://doi.org/10.3934/dcdsb.2003.3.439
Abstract
This paper analyses the behavior of the solutions of a model of cells that are capable of simultaneous proliferation and maturation. This model is described by a first-order singular partial differential system with a retardation of the maturation variable and a time delay. Both delays are due to cell replication. We prove that uniqueness and asymptotic behavior of solutions depend only on cells with small maturity (stem cells).Keywords
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