Transport equations in cell population dynamics. II.
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification :
92C37, 82D75
Keywords: semigroups, operators, boundary value problem, cell population dynamic, general boundary condition
Keywords: semigroups, operators, boundary value problem, cell population dynamic, general boundary condition
@article{EJDE_2010__2010__a287,
author = {Boulanouar, Mohamed},
title = {Transport equations in cell population dynamics. {II.}},
journal = {Electronic journal of differential equations},
year = {2010},
volume = {2010},
zbl = {1198.92012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a287/}
}
Boulanouar, Mohamed. Transport equations in cell population dynamics. II.. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a287/