Finite Element Modeling of Calcium Signaling in T-Lymphocytes

H. Kumar¹ , KR. Pardasani²

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.2 , pp.1-9, Apr-2016

Online published on Apr 27, 2016

Copyright © H. Kumar, KR. Pardasani . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
T-Lymphocytes are crucial for health and disease as they provide cell-mediated immunity. The elevation of intracellular free calcium concentration is an essential triggering signal involved in activation of T-Lymphocytes by antigen. Various calcium concentration distribution patterns are required by the cell to initiate, sustain and terminate its processes for providing immunity. The regulatory mechanisms involved in T-Lymphocytes are not well understood. In this paper, the mathematical model has been developed to study intracellular calcium distribution in T-Lymphocytes for one dimensional steady and unsteady state. The steady state model incorporates the parameters like diffusion coefficient, source influx, ryanodine receptors and buffers while unsteady state model is proposed to study the effect of SERCA pump and buffers on temporal calcium concentration distribution. The Finite element method has been employed to obtain the solution of the proposed mathematical model. The boundary conditions have been framed using biophysical conditions of the problem. A computer program has been developed in MATLAB 7.10 for the entire problem and numerical results are used to study relationships among concentration, position and time with respect to physiological conditions.

Key-Words / Index Term :
Finite Element Method, T-Lymphocytes, Buffers, Ryanodine Receptor (RyR), SERCA pump, Diffusion Coefficient, Reaction Diffusion Equations, MATLAB

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