含JRYR、JSERCA和JLEAK神经元钙离子扩散的有限体积模型
Finite Volume Model to Study Calcium Diffusion in Neuron Involving JRYR, JSERCA and JLEAK
摘要:
钙动力学是神经元细胞内电(动作电位)和化学(神经递质)信号传导的重要机制。神经元中钙动力学的数学模型导致反应扩散方程,该方程涉及扩散系数、游离钙、结合钙、缓冲液和结合缓冲液等参数。在这里,受体,serca和泄漏等参数也被纳入模型。根据问题的生物物理条件,确定了适当的边界条件。采用有限体积法求解。利用MATLAB7.11编制了计算钙离子浓度分布的计算机程序,并研究了各参数之间的关系。
英文摘要:
Calcium dynamics is the highly responsible for intracellular electrical (action potential) and chemical (neurotransmitter) signaling in neuron cell. The Mathematical modeling of calcium dynamics in neurons lead to the reaction diffusion equation which involves the parameters like diffusion coefficient, free calcium, bound calcium, buffers and bound buffer. Here the parameters like receptors, serca and leak are also incorporated in the model. Appropriate boundary conditions have been framed based on biophysical conditions of the problem. The finite volume method has been employed to obtain the solution. The computer program has been developed using MATLAB 7.11 for the entire problem to compute Ca2+ profiles and study the relationships among various parameters.
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