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Finite Volume Model to Study the Effect of Buffer on Cytosolic Ca2+ Advection Diffusion

Authors: Brajesh Kumar Jha, Neeru Adlakha, M. N. Mehta

Abstract:

Calcium [Ca2+] is an important second messenger which plays an important role in signal transduction. There are several parameters that affect its concentration profile like buffer source etc. The effect of stationary immobile buffer on Ca2+ concentration has been incorporated which is a very important parameter needed to be taken into account in order to make the model more realistic. Interdependence of all the important parameters like diffusion coefficient and influx over [Ca2+] profile has been studied. Model is developed in the form of advection diffusion equation together with buffer concentration. A program has been developed using finite volume method for the entire problem and simulated on an AMD-Turion 32-bit machine to compute the numerical results.

Keywords: Ca2+ profile, buffer, Astrocytes, Advection diffusion, FVM

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1080706

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References:


[1] Berridge M. J. ,Elementary and global aspects of calcium signalling, J physiol. 499, pp. 291-306,1997
[2] G.D. Smith, L. Dai, R. M. Miura, and A. Sherman, Asymptotic analysis of buffered calcium diffusion near a point source, SIAM J. Of Applied of Math, vol.61,pp.1816-1838.2000
[3] G.D. Smith, Analytical steady-state solution to the rapid buffering approximation near an open Ca2+ channel, Biophysical Journal, vol.71, pp.3064-3072,1996.
[4] J. Wagner and J Keizer, Effect of rapid buffers on ca2+ diffusion and Ca2+ oscillations, Biophysical Journal, vol.67, pp. 447-456,1994.
[5] Neher, E.,Concentration profiles of intracellular Ca2+ in the presence of diffusible chelator, Exp. Brain Res. 14 pp. 80-96,1986
[6] T. Hofer, A. Politi and R. Heinrich, Interecellular Ca2+ wave propagation through gap-junctional Ca2+ diffusion: a theoretical study, Biophysical Journal, vol. 80, pp.75-87,2001
[7] Z. Wang,M.Tymianski,O.T.Jones,M.Nedergaard, Impact of calcium buffering on the spatial and temporal characteristics of intercellular calcium signals in astrocytes, The Journal of Neuroscience, pp.7359- 7371, 1997
[8] B.K. Jha, N. Adlakha, M.N. Mehta, Solution of advection diffusion equation arising in cytosolic calcium concentration distribution, International Journal of Applied Mathematics and Mechanics, accepted (2011)
[9] H. K. Versteeg, W. Malalasekera, An introduction to computational fluid dynamics the finite volume method, Longman Scientific & Technical, 1995
[10] L. A. Mironova and S. L. Mironov, Approximate Analytical Time dependent solutions to describe large amplitude local calcium transients in the presence of buffers, Biophysical Journal Vol. 94 pp. 349-358,2008