• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: Special Issue 4, Pages: 1-7

Original Article

Mathematical Study of the Pulmonary Gas Exchange for the Respiratory System under Normal and Abnormal Conditions

Received Date:12 October 2023, Accepted Date:22 November 2023, Published Date:25 December 2023


Objectives: To find the relationship of the concentration of Oxygen and Carbon dioxide in the respiratory system. Our objective is to establish the relationship between partial pressure and saturation of oxygen. Also, to evaluate the Oxygen diffusion capacity into the capillary at different levels of hemoglobin. Methods: We follow the classical equations solved using analytic and numerical techniques for evaluating the diffusion capacity of oxygen from the alveolus to the pulmonary capillary by MATLAB software simulation. Findings: Establish the relationship between partial pressure and saturation of oxygen at various situations. Evaluate the diffusion capacity behaviour of the Oxygen into the capillary by different levels of hemoglobin. Novelty: This study presents a parametric model of the concentration of Oxygen and Carbon dioxide in the respiratory system that incorporates partial pressure and saturation relation concerning the exchange of gases. We also solved the classical relationship numerically.

Keywords: Oxygen concentration, Gas exchange, Partial Pressure, Saturation of gases, Mathematical model and simulation


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© 2023 Patel & Patel. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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