A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior
The author deals with a mathematical model of an age structured proliferating cell population in which each cell is distinguished by its age and its cell cycle length. The cell cycle length is considered as an inherited property determined at birth and can be infinite. He investigates the positivity and the irreducibility of the generated semigroup according to the positivity and the irreducibility of the boundary operator. He studies the spectral properties of the generator. And he estimated its spectral bound. He also describes the cellular profile by giving the asymptotic behavior of the generated semigroup.
scientific article; zbMATH DE number 5709135