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Finite Element Estimation of Calcium Ions in Presence of NCX and Buffer in Astrocytes

Brajesh Kumar Jha1, Amrita Jha2, and Neeru Adlakha3
1 Department of Mathematics & Computer Science, Pandit Deendayal Petroleum University, Gandhinagar, India
2 Department of Science, Indus University, Ahmedabad, India
3 Department of Applied Mathematics, S. V. National Institute of Technology, Surat, India

Abstract—Sodium calcium exchanger (NCX) plays an effective role in signal transduction in most of the nerve cells like neuron, astrocytes etc. Sodium ion affects the cytosolic calcium concentration level in Astrocytes via various channels, which affects the movement of the nerve impulse from one cell to other cell. In this paper two dimensional model is developed in the form of diffusion equation to study the effect of NCX in presence and absence of buffer in Astrocytes. Finite element method is employed to solve the problem and results are simulated in Matlab to estimate the affect of various parameters like flux, diffusion coefficient, buffer concentration, etc. It is observed that the effect of NCX and buffer are significant. NCX is helpful to reduce the Ca2+ level in cytosol. High level of buffer concentration overlaps the effect of NCX on cytosolic calcium concentration in astrocytes.

Index Terms—Calcium ion, buffer, NCX, FEM

Cite: Brajesh Kumar Jha, Amrita Jha, and Neeru Adlakha, "Finite Element Estimation of Calcium Ions in Presence of NCX and Buffer in Astrocytes," International Journal of Pharma Medicine and Biological Sciences, Vol. 5, No. 1, pp. 7-11, January 2016. doi: 10.18178/ijpmbs.5.1.7-11
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