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Dynamics of A Three-Variable Nonlinear Model of Vasomotion: Comparison of Theory and Experiment

机译:运动的三变量非线性模型动力学:理论与实验的比较

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摘要

The effects of pharmacological interventions that modulate Ca2+ homeodynamics and membrane potential in rat isolated cerebral vessels during vasomotion (i.e., rhythmic fluctuations in arterial diameter) were simulated by a third-order system of nonlinear differential equations. Independent control variables employed in the model were [Ca2+] in the cytosol, [Ca2+] in intracellular stores, and smooth muscle membrane potential. Interactions between ryanodine- and inositol 1,4,5-trisphosphate-sensitive intracellular Ca2+ stores and transmembrane ion fluxes via K+ channels, Cl channels, and voltage-operated Ca2+ channels were studied by comparing simulations of oscillatory behavior with experimental measurements of membrane potential, intracellular free [Ca2+] and vessel diameter during a range of pharmacological interventions. The main conclusion of the study is that a general model of vasomotion that predicts experimental data can be constructed by a low-order system that incorporates nonlinear interactions between dynamical control variables.
机译:通过三阶非线性微分方程系统,模拟了药理学干预对大鼠离体脑血管血管运动过程中Ca 2 + 体内动力和膜电位的调节作用(即,动脉直径的节律性波动)。模型中使用的独立控制变量是胞浆中的[Ca 2 + ],细胞内存储中的[Ca 2 + ]和平滑肌膜电位。 ryanodine和肌醇1,4,5-三三磷酸敏感性细胞内Ca 2 + 的相互作用和经由K + 通道,Cl - 2 + ]和血管的实验测量,研究了sup>通道和电压操作的Ca 2 + 通道一系列药理干预措施的直径。该研究的主要结论是,可以通过将动态控制变量之间的非线性相互作用纳入其中的低阶系统来构建预测实验数据的一般血管运动模型。

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