MATHEMATICAL INVESTIGATION OF OXYGEN TRANSPORT IN INTACT MUSCLES VIS-A-VIS TISSUE METABOLISM

Ahsan Ul Haq Lone; M. A. Khanday

doi:10.56827/SEAJMMS.2023.1903.36

Ahsan Ul Haq Lone Department of Mathematics, University of Kashmir, Srinagar- 190006, INDIA
M. A. Khanday Department of Mathematics, University of Kashmir, Srinagar- 190006, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.36

Keywords: Oxygen tension, Oxygen consumption, Finite difference method.

Abstract

The human muscle tissue is an active cite with varied aerobic consumption. The supply of oxygen to the muscle cells is governed by the demand for oxygen that varies across different metabolic states of the body tissues. Most of the models designed to simulate oxygen flow in the body are based on the assumption of constant rate of oxygen consumption in muscle tissues. This generates a picture contrary to the physiological ambience where the rates vary in response to level of activity in which muscles are involved. In this context, we have taken recourse to a comparative analysis of zero-order, first-order and Michaelis-Menten oxygen consumption rate inside the muscle tissue. The model is based on the reaction-diffusion equation, and the exact solution is obtained and compared with the numerical solution using MATLAB and both are in good agreement.