Calcium signaling regulates and maintains plethora of complicated phenomena taking place inside the brain, the alterations in which results into devastating neuronal disorder like Alzheimer’s disease (AD). In this analysis, the calcium concentration distribution is determined where simultaneous attention is paid to the physiology behind AD and complex mathematical formulations. A system of two non-linear transient differential equations (DEs) has been formulated: (1) it shows the cytosolic calcium concentration distribution in the presence of calcium-binding buffers and endoplasmic reticulum (ER), whereas (2) it shows the changes in calcium concentration in ER via pump, leak, and channel. The influx in the cytosol is mediated by the voltage-gated calcium channels which are incorporated as apposite boundary condition that matches well with the in situ conditions. Thus, the combined impact of this system is obtained in the form of calcium oscillations. The solution of system of differential equations is obtained using finite element technique which is simulated in COMSOL Multiphysics 5.4. The obtained computational results are in full agreement with the experimental observations which shows that the lower amount of calcium-binding buffers and higher VGCC-mediated flux and ER calcium may lead to AD. To deal with it, exogenous BAPTA has been added which leads to multiple buffering and further results into transition from higher level of calcium to normal level.

钙信号调节并维持大脑内部发生的许多复杂现象，这种变化导致破坏性神经元疾病，例如阿尔茨海默氏病（AD）。在此分析中，确定钙浓度分布，同时注意AD和复杂数学公式背后的生理学。已经建立了两个非线性瞬态微分方程（DEs）的系统：（1）它显示了存在钙结合缓冲液和内质网（ER）时胞质钙的浓度分布，而（2）它显示了变化通过泵，泄漏和通道来降低急诊室中钙的浓度。胞质溶胶的流入是由电压门控的钙通道介导的，该通道被结合为与原位条件相匹配的适当边界条件。因此，该系统的综合影响是以钙振荡的形式获得的。使用COMSOL Multiphysics 5.4中模拟的有限元技术获得了微分方程组的解。所获得的计算结果与实验观察结果完全吻合，实验结果表明，钙结合缓冲液的量较少，VGCC介导的通量和ER钙含量较高可能导致AD。为了解决这个问题，已经添加了外源BAPTA，这导致多种缓冲作用，并进一步导致钙从高水平过渡到正常水平。该系统的综合影响是以钙振荡的形式获得的。使用COMSOL Multiphysics 5.4中模拟的有限元技术获得了微分方程组的解。所获得的计算结果与实验观察结果完全吻合，实验结果表明，钙结合缓冲液的量较少，VGCC介导的通量和ER钙含量较高可能导致AD。为了解决这个问题，已经添加了外源BAPTA，这导致多种缓冲作用，并进一步导致钙从高水平过渡到正常水平。该系统的综合影响是以钙振荡的形式获得的。使用COMSOL Multiphysics 5.4中模拟的有限元技术获得了微分方程组的解。所获得的计算结果与实验观察结果完全吻合，实验结果表明，钙结合缓冲液的量较低，VGCC介导的通量和ER钙含量较高，可能导致AD。为了解决这个问题，已经添加了外源BAPTA，这导致多种缓冲作用，并进一步导致钙从高水平过渡到正常水平。所获得的计算结果与实验观察结果完全吻合，实验结果表明，钙结合缓冲液的量较少，VGCC介导的通量和ER钙含量较高可能导致AD。为了解决这个问题，已经添加了外源BAPTA，这导致多种缓冲作用，并进一步导致钙从高水平过渡到正常水平。所获得的计算结果与实验观察结果完全吻合，实验结果表明，钙结合缓冲液的量较少，VGCC介导的通量和ER钙含量较高可能导致AD。为了解决这个问题，已经添加了外源BAPTA，这导致多种缓冲作用，并进一步导致钙从高水平过渡到正常水平。