MATHEMATICAL ANALYSIS OF A MODEL OFAGE-CYCLE LENGTH STRUCTURED CELLPOPULATION WITH QUIESCENCE

Abstract

In this work, we model the dynamics of an Age-CycleLength structured cell population. At each time, the cell populationis divided into two interacting compartments:Proliferating cellsandQuiescent cells. Each cell is then:Proliferating (Active)orQui-escent (Resting). We prove that this new Proliferation-Quiescencemodel is well posed.

Keywords

• partial differential equations
• semigroup of linearoperators
• structured cell population