Analysis of a two-phase cell division model

摘要

In this paper we mainly study an equal mitosis two-phase cell division model. By using the C0-semigroup theory, we prove that this model is the well-posed in L1[0, 1] × L1[0, 1], and exhibits asynchronous exponential growth phenomenon as time goes to infinity. We also give a comparison between this two-phase model with the classical one-phase model. Finally, we briefly study the asymmetric two-phase cell division model, and show that similar results hold for it.