Mohamed Boulanouar
Abstract:
In this article, we study a cell proliferating model, where
each cell is characterized by its degree of maturity
and its maturation velocity. The boundary conditions in this
model generalize the known biological rules. We consider
also the degenerate case corresponding to infinite maturation
velocity. Then we show that this model is governed by a strongly
continuous semigroup and give its explicit expression.
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.
Show me the PDF file (294 KB), TEX file, and other files for this article.
| Mohamed Boulanouar LMCM-RMI, Universite de Poitiers 86000 Poitiers, France email: boulanouar@free.fr |
Return to the EJDE web page