关键词: Brain calcium kinetics ODE non linear system Substrate modeling regularity Well-posedness Brain calcium kinetics ODE non linear system Substrate modeling regularity Well-posedness

Mesh : Animals Calcium / metabolism Calcium Signaling / physiology Computer Simulation Membrane Transport Proteins

来  源:   DOI:10.1007/s10441-022-09437-3

Abstract:
A tight control of intracellular [Ca[Formula: see text]] is essential for the survival and normal function of cells. In this study we investigate key mechanistic steps by which calcium is regulated and calcium oscillations could occur using in silico modeling of membrane transporters. To do so we give a deterministic description of intracellular Ca[Formula: see text] dynamics using nonlinear dynamics in order to understand Ca[Formula: see text] signaling. We first present the ordinary differential equations (ODEs) system for cell calcium kinetics and make a preliminary work on Sobol indices. We then describe and analyze complex transporters action. Besides, we analyze the whole system. We finally perform numerical simulations and compare our results to real data.
摘要:
Atightcontrolofcellular[Ca[Formula:seetext]]isessentialforthesurvivalandnormalfunctionofcells.在这项研究中,我们研究了使用膜转运蛋白的计算机模拟模型来调节钙和可能发生钙振荡的关键机制步骤。为此,我们使用非线性动力学对细胞内Ca[公式:见文本]动力学进行确定性描述,以理解Ca[公式:见文本]信号。我们首先介绍了用于细胞钙动力学的常微分方程(ODE)系统,并对Sobol指数进行了初步工作。然后,我们描述和分析复杂的转运蛋白的作用。此外,我们分析了整个系统。最后,我们进行了数值模拟,并将结果与实际数据进行了比较。
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