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

Vineet Kumar,1,3 R. N. Pandey,2 and S. N. Upadhyay1

 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

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.