IJE TRANSACTIONS A: Basics Vol. 18, No. 1 (February 2005) 39-44   

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Sanjeev Kumar and Narendra Kumar

Department of Mathematics, Institute of Basic Science
Dr. B.R. Ambedaker (Agra) University, Khandari, Agra, India, 282002

( Received: May 02, 2003 – Accepted in Revised Form: December 06, 2004 )

Abstract    Oxygen is an essential part of the living organism. It is transported from blood to the body tissue by the systematic circulation and large part of it is stored in the blood flowing in capillaries. In this work we discuss a mathematical model for oxygen transport in tissues. The governing equations are established assuming that the blood is flowing along a co-axial cylindrical capillary inside the tissue and has a constant partial pressure of oxygen. We solve the governing partial differential equations using finite element techniques. The main object of the present work is to investigate the effects of various assumptions such as neglecting axial diffusion and neglecting the effect of facilitated myoglobin diffusion.


Keywords    Axial diffusion, Hemoglobin, Myoglobin, Co-axial cylindrical capillary



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