年龄-大小模型的细胞周期长度和长时间行为
Cell cycle length and long-time behaviour of an age-size model
摘要：
本文考虑了一个基于细胞周期长度的年龄结构细胞群体模型。该模型由一阶带初边值条件的偏微分方程描述。利用正算子半群理论，我们建立了这类方程解的异步指数增长性的新判据。我们讨论细胞的指数级增长问题。我们详细研究了一个定尺寸增长模型和一个具有目标尺寸划分的模型。我们还提出了版本的模型时，人口是异质的。
英文摘要：
We consider an age-size structured cell population model based on the cell cycle length. The model is described by a first order partial differential equation with initial-boundary conditions. Using the theory of semigroups of positive operators we establish new criteria for an asynchronous exponential growth of solutions to such equations. We discuss the question of exponential size growth of cells. We study in detail a constant size growth model and a model with target size division. We also present versions of the model when the population is heterogeneous.
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