In this work, we study the cellular profile in a cell proliferating model presented in Boulanouar . Each cell is characterized by its degree of maturity and its maturation velocity. The boundary conditions generalizes the known biological rules. We study also the degenerate case corresponding to infinite maturation velocity, and describe mathematically the cellular profile.
Submitted May 23, 2010. Published October 12, 2010.
Math Subject Classifications: 92C37, 82D75.
Key Words: Semigroups; operators; boundary value problem; cell population dynamic; general boundary condition.
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| Mohamed Boulanouar |
LMCM-RMI, Universite de Poitiers
86000 Poitiers, 86000 Poitiers, France
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