A Numerical Model to Study the Rapid Buffering Approximation near an Open Ca2+ Channel for an Unsteady State Case
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A Numerical Model to Study the Rapid Buffering Approximation near an Open Ca2+ Channel for an Unsteady State Case

Authors: Leena Sharma

Abstract:

Chemical reaction and diffusion are important phenomena in quantitative neurobiology and biophysics. The knowledge of the dynamics of calcium Ca2+ is very important in cellular physiology because Ca2+ binds to many proteins and regulates their activity and interactions Calcium waves propagate inside cells due to a regenerative mechanism known as calcium-induced calcium release. Buffer-mediated calcium diffusion in the cytosol plays a crucial role in the process. A mathematical model has been developed for calcium waves by assuming the buffers are in equilibrium with calcium i.e., the rapid buffering approximation for a one dimensional unsteady state case. This model incorporates important physical and physiological parameters like dissociation rate, diffusion rate, total buffer concentration and influx. The finite difference method has been employed to predict [Ca2+] and buffer concentration time course regardless of the calcium influx. The comparative studies of the effect of the rapid buffered diffusion and kinetic parameters of the model on the concentration time course have been performed.

Keywords: Calcium Profile, Rapid Buffering Approximation, Influx, Dissociation rate constant.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091738

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[1] Berridge M.J., Elementary and global aspects of calcium signaling, J physiol. (cond), 499(1997), pp. 291-306.
[2] Berridge M.J., Neuronal calcium signaling. Neuron, 21(1998), pp13-26.
[3] Bertram R, Smith G.D., and Sherman A., A modeling study of effects of overlapping Ca2+ micro domains on neurotransmitter release, Biophys. J., 76(2):735-50, 1999.
[4] Clapham, D.E., Calcium Signaling, Cell, 80(1995), pp. 259-268.
[5] J. M. McHugh and J. L. Kenyon, An Excel-based model of Ca2+ diffusion and fura 2 measurements in a spherical cell, Am J Physiol Cell Physiol 286: C342-C348, 2004.
[6] Jonathan H. Jaggar, Valerie A. Porter, W. Jonathan Lederer, and Mark T. Nelson, Calcium sparks in smooth muscle, Am J Physiol Cell Physiol 278: C235-C256, 2000.
[7] Klingaut, J., and E.,Neher, Modelling buffered Ca2+ diffusion near the membrane; implecation for secretion in neuroendocrine cells, Biophys. J., 72(1997), pp. 674-690.
[8] Leighton T. Izu, W. Gil Wier, and C. William Balke, Theoretical Analysis of the Ca2+ Spark Amplitude Distribution, Biophys J, September 1998, p. 1144-1162, Vol. 75, No. 3.
[9] M. E. Kargacin and G. J. Kargacin, Predicted changes in concentrations of free and bound ATP and ADP during intracellular Ca2+ signaling, Am J Physiol Cell Physiol 273: C1416-C1426, 1997.
[10] Martin Falcke, Buffers and Oscillations in Intracellular Ca2+ Dynamics, Biophysical Journal 84:28-41 (2003).
[11] Naraghi, M., and E.,Neher, Linearized buffered Ca2+ diffusion in micro domains and its implication for calculation of
[Ca2+] at the mouth of a calcium channel, J., Neurosci., 17(1997), pp. 6961-6973.
[12] Neher, E., Concentration profiles of intracellular Ca2+ in the presence of diffusible chelator, signals, cell calcium, 24(1998), pp. 345.
[13] Smith G.D, Analytical Steady-State Solution to the rapid buffering approximation near an open Ca2+ channel. Biophys. J., 71(1996). 3064-3072.
[14] Smith G.D, Wanger J., and Keizer J., Validity of the rapid buffering approximation near a point source of Ca2+ ions. Biophys. J., 70(6)2527-2539, 1996
[15] Stern, M.D., 1992. Buffering of Ca2+ in the vicinity of a channel pore. Cell calcium. 13 pp. 183-192.
[16] Wanger, J., and J., Keizer. 1994. Effect of rapid buffers on Ca2+ diffusion and Ca2+ Oscilations. Biophys. J., pp 447-456.
[17] Yun-gui Tang, Thomas Schlumpberger, Tae-sung Kim, Martin Lueker, and Robert S. Zucker, Effects of Mobile Buffers on Facilitation: Experimental and Computational Studies, Biophys J, June 2000, p. 2735-2751, Vol. 78, No. 6.
[18] J. Sobolo, B. Rothberg, M. Madesh, D. Gill, Stim proteins: dynamic calcium signal transducers, Nature Reviews Molecular Cell Biology 13 (9) (2012) 549-565.
[19] G. Ullah, D.-O. D. Mak, J. E. Pearson, A data-driven model of a modal gated ion channel: The inositol 1, 4, 5-trisphosphate receptor in insect sf9 cells, The Journal of General Physiology 140 (2) (2012) 159-173.
[20] H. Ramay, O. Liu, E. Sobie, Recovery of cardiac calcium release is controlled by sarcoplasmic reticulum refilling and ryanodine receptor sensitivity, Cardiovascular research 91 (4) (2011) 598-605.