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Mathematical Problems in Engineering
Volume 5, Issue 5, Pages 361-377
http://dx.doi.org/10.1155/S1024123X99001143

Exact solution of convective mass transfer model for Calcium response of endothelium

1Department of Chemical Engineering and Technology, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India
2Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India
3Thapar Institute of Engineering and Technology, Patiala, Punjab, India

Received 7 December 1998

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An exact solution for the concentration profile in tubes with surface reaction coupled with permeation have been obtained in terms of fast converging confluent hypergeometric function that gives accurate results. An excellent agreement between the experimental and theoretical results of the intracellular calcium ion concentration in the calf aorta endothelial cells and the extracellular ATP concentration provides yet another example in support of the mass transfer model for intracellular calcium response of the endothelial cells.