Finite Volume Model to Study the Effect of Buffer on Cytosolic Ca2+ Advection Diffusion
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.
[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
[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
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62239", author = "Brajesh Kumar Jha and Neeru Adlakha and M. N. Mehta", title = "Finite Volume Model to Study the Effect of Buffer on Cytosolic Ca2+ Advection Diffusion", 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", volume = "5", number = "3", pages = "482-4", }