In this paper, we have studied the concentration profile of Cytosolic calcium ion (Ca $^{2 +})$ $^{2 +})$ with the aid of fractional calculus. A mathematical model has been considered to examine the influence of fractional advection diffusion equation (cross flow) for the calcium profile. A closed form solution of the fractional advection diffusion equation, arising in study of diffusion of cytosolic calcium in astocytes cell, has been obtained by using Sumudu transform techniques. Graphs for the calcium concentration profiles have been simulated for certain values of the parameters to examine the various effects on concentrations of Cytosolic calcium ion.

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