Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India.
Cell Biochem Biophys. 2024 Dec;82(4):3751-3762. doi: 10.1007/s12013-024-01462-y. Epub 2024 Aug 8.
Calcium plays a crucial role as a second messenger in neuronal signal transduction pathways. The influx of calcium ions through various physicochemical gating channels activates neuronal calcium signaling. The Endoplasmic Reticulum (ER) is a significant intracellular structure that sequesters calcium and controls signaling through SERCA, IPR, and leak channel mechanisms. Disruption of calcium dynamics can trigger intrinsic dyshomeostasis, cell damage, and apoptosis. The present study articulates a Caputo fractional time derivative in the polar coordinate dimensions to investigate the role of nonlocal calcium-free ions in the neuron through the Orai channel, and ER fluxes, incorporating various physiological parameters. The solution was obtained through the hybrid integral transform technique for analytical form. The closed form was generated using Green's function in terms of Mainardi and Wright's functions. Our simulation uncovered the calcium concentration bandwidth of interaction with different neuronal parameters. Parameters and calcium ion synergy show normal and Alzheimer's disease-impacted interaction through different illustrations. Our simulation reveals that S100B and BAPTA have significant calcium-controlling behavior.
钙作为神经元信号转导途径中的第二信使起着至关重要的作用。钙离子通过各种物理化学门控通道的内流激活神经元钙信号。内质网（ER）是一种重要的细胞内结构，它隔离钙并通过 SERCA、IPR 和泄漏通道机制控制信号。钙动力学的破坏会引发内在的失衡、细胞损伤和细胞凋亡。本研究在极坐标维度中阐述了一个 Caputo 分数阶时间导数，通过 Orai 通道和 ER 通量，结合各种生理参数，研究非局部无钙离子在神经元中的作用。通过混合积分变换技术获得解析形式的解。根据 Mainardi 和 Wright 函数的格林函数生成了封闭形式。我们的模拟揭示了与不同神经元参数相互作用的钙浓度带宽。参数和钙离子协同作用通过不同的说明显示出正常和阿尔茨海默病的影响相互作用。我们的模拟表明 S100B 和 BAPTA 具有显著的钙控制行为。
