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In the nervous system, there are many mechanisms to respond to cognitive functions. Neurons are basic cells to perform this cognitive response. Cellular homeostasis of the free calcium ions is governed by the membrane channels and receptors. For performing this approach, we have modeled the neuronal calcium homeostasis for the Caputo fractional time diffusion with the buffer reaction with endoplasmic reticulum flux. Various neuronal organelles like endoplasmic reticulum (ER), Sarcoendoplasmic Reticulum Calcium ATPase (SERCA), inositol triphosphate (IP3) receptor (IP3R) and ryanodine receptor (RYR), and perform their vital role for cellular processes in a calcium dependent manner. The fractional reaction–diffusion model is solved by the Laplace and Fourier integral transform approach. For the closed form Mittag Leffler type solution followed by Green’s function. Our obtained solution is in an analytical approach with closed form in Mainardi’s function and Wright’s function. This simulation shows the significant impacts of different parameters on temporal and spatial diffusion. Different buffer concentrations and different temporal fractional order better with real life physiological properties to mimic the neuronal impact. Our results enrich the significant study of the buffers and calcium relation.

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To Study the Effect of ER Flux and Orai Flux on Fractional Calcium Diffusion in Neuron Cell

  • 会议论文

  • 发表日期：

    2025年

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  • Vora Hardagna Vatsal,
  • Brajesh Kumar Jha,
  • Tajinder Pal Singh

摘要

In the nervous system, there are many mechanisms to respond to cognitive functions. Neurons are basic cells to perform this cognitive response. Cellular homeostasis of the free calcium ions is governed by the membrane channels and receptors. For performing this approach, we have modeled the neuronal calcium homeostasis for the Caputo fractional time diffusion with the buffer reaction with endoplasmic reticulum flux. Various neuronal organelles like endoplasmic reticulum (ER), Sarcoendoplasmic Reticulum Calcium ATPase (SERCA), inositol triphosphate (IP3) receptor (IP3R) and ryanodine receptor (RYR), and perform their vital role for cellular processes in a calcium dependent manner. The fractional reaction–diffusion model is solved by the Laplace and Fourier integral transform approach. For the closed form Mittag Leffler type solution followed by Green’s function. Our obtained solution is in an analytical approach with closed form in Mainardi’s function and Wright’s function. This simulation shows the significant impacts of different parameters on temporal and spatial diffusion. Different buffer concentrations and different temporal fractional order better with real life physiological properties to mimic the neuronal impact. Our results enrich the significant study of the buffers and calcium relation.