A model of proliferating cell populations with correlation of mother-daughter mitotic times

A kinetic model of proliferating cell populations is studied. The model features the correlation of mother-daughter mitotic times. The model is analysed by means of the theory of strongly continuous semigroups of linear operators. A connection is made between the asymptotic behavior of solutions and the spectral properties of the infinitesimal generator. It is proved that the solutions of the model have the property of asynchronous exponential growth.