Abstract

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of ordinary differential equations with bistable dynamics. Intracellular regulation and cell fate are controlled by the extracellular regulation through the number of differentiated cells. It is shown that the total cell number necessarily oscillates if the initial condition in the intracellular regulation is fixed. These oscillations can be suppressed if the initial condition is a random variable with a sufficiently large variation. Thus, the result of the work suggests a possible answer to the question about the role of stochasticity in the intracellular regulation.

中文翻译：

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随机细胞内调节可以消除组织生长模型中的振荡

摘要

这项工作致力于分析细胞群动态，其中细胞在分化和凋亡之间做出选择。该选择基于细胞内蛋白质的值，其浓度由具有双稳态动力学的常微分方程系统描述。细胞内调节和细胞命运通过分化细胞的数量由细胞外调节控制。结果表明，如果细胞内调节的初始条件是固定的，则总细胞数必然会发生振荡。如果初始条件是具有足够大变化的随机变量，则可以抑制这些振荡。因此，这项工作的结果为关于随机性在细胞内调节中的作用的问题提供了可能的答案。