Mohamed Boulanouar
Abstract:
In this work, we study the cellular profile in a cell
proliferating model presented in Boulanouar [4].
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 email: boulanouar@free.fr |
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