带检查点的年龄结构多相细胞周期模型的数学分析

2019 International Conference of Computer Science and Renewable Energies (ICCSRE) Pub Date : 2019-07-01 DOI:10.1109/ICCSRE.2019.8807639

E. Youssef, Alaoui Larbi

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引用次数: 1

摘要

通过考虑由许多复杂调节机制控制的细胞群体内的年龄结构，分析了一个模拟细胞分裂的偏微分方程系统。该模型的分析是基于对偶半群算子的摄动理论，应用于u(t) = φ (ut)型更新方程。确定与模型相关的算子φ，建立各种属性，从而得出与PDE模型相关的AEG属性。此外，相关的马尔萨斯系数仅使用φ的特性来表征。

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Mathematical analysis of an age structured multi phases cell cycle model with checkpoints

A system of partial differential equations modelling the cell division by considering an age structure within a population of cells controlled by many complex regulatory mechanisms is analysed. The analysis of the model is based on the perturbation theory for dual semigroups of operators applied to a renewal equation of the type u(t) = ϕ(ut). The operator ϕ associated with the model is determined and various properties are established to conclude the AEG property associated to the PDE model. Furthermore, the associated Malthusian coefficient is characterized by only using properties of ϕ.

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2019 International Conference of Computer Science and Renewable Energies (ICCSRE)

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