Abstract
In this paper we prove the well-posedness of the Rotenberg's model [16] describing the growth of cell population which resembles that used in classical transport theory. In this model the density of cell population are distinguished by their degree of maturation and the maturation velocity with mitotic boundary condition. We prove the positivity, irreducibility of the generated semigroup which converges asymptotically to a projection of the rank one.
Citation
M. Boulanouar. H. Emamirad. "A transport equation in cell population dynamics." Differential Integral Equations 13 (1-3) 125 - 144, 2000. https://doi.org/10.57262/die/1356124293
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