IJPAM: Volume 83, No. 5 (2013)

A NUMERICAL MODEL TO STUDY THE ROLE OF
ADVECTION DIFFUSION OF Ca2+ IN MONITORING
FREE Ca2+ CONCENTRATION IN PRESENCE OF BUFFER

B.K. Jha1, N. Adlakha2, M.N. Mehta3, J.P. Sharma4
1,4Department of Mathematics & Humanities
Institute of Technology
Nirma University, Ahmadabad
2,3Department of Mathematics & Humanities
S.V. National Institute of Technology

Proceedings of
NCRTMSA - 2012


Abstract. Astrocytes are directly involved in synaptic processes, and may more actively contribute to the information processing in the brain than previously thought. Ca2+ signalling appears to provide the most versatile and crucial mechanisms for such a glial contribution. Intracellular calcium distribution is responsible to maintaining the cellular metabolic functions. Many factors that affect the cytosolic calcium concentration in Astrocytes. The main objective of this paper to study the effect of advection diffusion of cytosolic calcium concentration in Astrocytes in presence of buffers. A mathematical model is developed in the form of advection diffusion equation. Interdependence of all the important parameters like immobile buffer, diffusion coefficient and influx over [Ca2+] profile has been studied. it is found that advection has significant effect in the presence of low affinity buffer but in the presence of high affinity buffer advection term does not show much effect on calcium concentration in nerve cells like astrocytes.

Received: January 10, 2013

AMS Subject Classification: 92C20

Key Words and Phrases: advection diffusion, buffer, FVM, astrocytes

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DOI: 10.12732/ijpam.v83i5.8 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 5