Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 145, pp. 1-20.

Title: Transport equations in cell population dynamics II

Author: Mohamed Boulanouar (Univ. de Poitiers, France)

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.