On a mathematical model of age‐cycle length structured cell population with non‐compact boundary conditions (III)

Abstract

This work is a natural continuation of two other works in which a mathematical model has been studied. This model is based on age‐cycle length structured cell population. The cellular mitosis is mathematically described by a non‐compact boundary condition. We investigate the asymptotic behavior of the generated semigroup, and we prove that the cell population possesses Asynchronous Growth Property. Copyright © 2015 John Wiley & Sons, Ltd.

On a mathematical model of age–cycle length structured cell population with non‐compact boundary conditions (II)

“…Regarding the second inequality of (i.e., ), this one is clearly hardest than the first one and needs to be proved separately. Its proof needs different techniques than those used in this work, and it will be the aim of Boulanouar .…”