MATHEMATICAL STUDY OF PULMONARY AND INTRAVENOUS ADMINISTRATION OF OXYGEN IN BIOLOGICAL TISSUES UNDER HYPOXIA CONDITIONS

Ahsan Ul Haq Lone; M. A. Khanday; Saqib Mubarak

doi:10.56827/SEAJMMS.2022.1803.32

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
Saqib Mubarak Department of Mathematics, University of Kashmir, Srinagar-190006, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.32

Abstract

Mathematical modelling of oxygen transport in biological tissues played a great role and provides optimal results for advanced biomedical and biophysical research. Conventionally, oxygen is administered to hypoxic patients through pul- monary route. A mathematical model has been proposed to establish an alternative route for oxygen supply, whereby oxygen is administered directly into the target tis- sue bypassing the lung compartment. Our study aims at evaluating the feasibility of the novel approach using compartment modelling. The model is represented by a system of first order ordinary differential equations and their solution by Cramer’s rule and Laplace transform method. The concentration profiles of oxygen through pulmonary and intravenous routes were estimated in the arterial blood and tissue compartments at different flow rates; and with respect to initial oxygen concen- tration in the lung compartment and in the injected solution. Our results are in agreement with those arrived at by Lin Gui and Jing Liu (2006) [4]. The method offers a promising alternative to the conventional approach for clinical rescue of hypoxic patients, more so in emergency situations.

Author Biographies

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