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http://dx.doi.org/10.14317/jami.2011.29.1_2.427

FINITE ELEMENT MODEL TO STUDY TWO DIMENSIONAL UNSTEADY STATE CYTOSOLIC CALCIUM DIFFUSION  

Tewari, Shivendra Gajraj (Department of Mathematics, Maulana Azad National Institute of Technology)
Pardasani, Kamal Raj (Department of Mathematics, Maulana Azad National Institute of Technology)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 427-442 More about this Journal
Abstract
Calcium is a vital second messenger for signal transduction in neurons. Calcium plays an important role in almost every part of the human body but in neuronal cytosol, it is of utmost importance. In order to understand the calcium signaling mechanism in a better way a finite element model has been developed to study the flow of calcium in two dimensions with time. This model assumes EBA (Excess Buffering Approximation), incorporating all the important parameters like time, association rate, influx, buffer concentration, diffusion constant etc. Finite element method is used to obtain calcium concentration in two dimensions and numerical integration is used to compute effect of time over 2-D Calcium profile. Comparative study of calcium signaling in two dimensions with time is done with other important physiological parameters. A MATLAB program has been developed for the entire problem and simulated on an x64 machine to compute the numerical results.
Keywords
Association rate; EBA; Diffusion constant; Influx; Calcium profile;
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