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# Asymptotic behavior of a singular transport equation modelling cell division

• 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).
Mathematics Subject Classification: 35F15, 35L60, 92C37, 92D25.

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