Geodesic
Transport equations in cell population dynamics. I.
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification : 92C37, 82D75
Keywords: semigroups, operators, boundary value problem, cell population dynamic, general boundary condition 
@article{EJDE_2010__2010__a293,
     author = {Boulanouar,  Mohamed},
     title = {Transport equations in cell population dynamics. {I.}},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1198.92011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a293/}
}
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%A Boulanouar,  Mohamed
%T Transport equations in cell population dynamics. I.
%J Electronic journal of differential equations
%D 2010
%V 2010
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%F EJDE_2010__2010__a293
Boulanouar,  Mohamed. Transport equations in cell population dynamics. I.. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a293/