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Transport theory for growing cell populations

✍ Scribed by Manuel Rotenberg

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
817 KB
Volume
103
Category
Article
ISSN
0022-5193

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πŸ“œ SIMILAR VOLUMES

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This paper deals with Rotenberg's models of cell populations with general boundary conditions. It is shown, ΓΏrst, that the associated Cauchy problem is governed by a C 0 -semigroup. Second, we have proved that if the boundary operator is positive, the transport semigroup is irreducible. And ΓΏnally,

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## Abstract In this paper we establish some results regarding the existence of solution on __L__~1~ spaces to a nonlinear boundary value problem originally proposed by Lebowitz and Rubinow (__J. Math. Biol.__ 1974; **1**:17–36) to model an age‐structured proliferating cell population. Our approach,