Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839959 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 18 Pages |
Abstract
The present paper is concerned with a nonlinear initial–boundary value problem derived from a model introduced by Rotenberg (1983) describing the growth of a cell population. Each cell of this population is distinguished by two parameters: its degree of maturity μμ and its maturation velocity vv. At mitosis, the daughter cells and mother cells are related by a general reproduction rule. We prove existence and uniqueness results in the case where the total cross-section and the boundary conditions are depending on the total density of population. Local and nonlocal reproduction rules are discussed.
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Authors
J. Garcia-Falset, K. Latrach, A. Zeghal,