A Fractional Approach to Study of Calcium Advection Distribution and VGCC in Astrocyte

Calcium oscillations have vivid functions in the different cells like neuron, astrocyte etc. of central nervous system. Only to a certain extent have the mechanics behind the activities that take place inside the brain been uncovered. Calcium, a second messenger, is crucial in the transformation of different types of information. The study of calcium signaling in the presence of buffers and advection diffusion and voltage gated calcium channel (VGCC) on boundary has been considered to construct a mathematical model. This fractional approach by Caputo definition on time differentiation is applied to investigate this model. Integral transform is applied and the green’s function is taken for fundamental solution. This solution done for the different parameters of buffer and spatial, temporal behavior. Different buffer concentration and space time dimension simulated to show calcium distribution and effect of flow. Advection also shows the significant effect on the astrocyte calcium distribution. Different Exogenous buffer is considered to know the behavior of calcium oscillation.