Mathematical Problems in Engineering
Volume 5 (2000), Issue 5, Pages 361-377
doi: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 Vineet Kumar et al. 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.