Stochastic intracellular regulation can remove oscillations in a model of tissue growth.

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2020-12-15 DOI:10.1093/imammb/dqaa009
M Banerjee, V Volpert
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引用次数: 1

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.

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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。
这项工作致力于分析细胞群体动力学,细胞在分化和凋亡之间做出选择。这种选择是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。细胞内调控和细胞命运是由细胞外调控通过分化细胞的数量来控制的。结果表明,当细胞内调节的初始条件固定时,细胞总数必然振荡。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,这项工作的结果为细胞内调控中随机性的作用提供了一个可能的答案。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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