Title: Oxygen therapy in chronic obstructive pulmonary disease: insight from convex optimisation

Authors: Tanmay Pal; Pranab Kumar Dutta; Srinivasu Maka

Addresses: School of Mechatronics and Robotics, IIEST, Shibpur, B. Garden, 711103, India ' Department of Electrical Engineering, IIT Kharagpur, Kharagpur, 721302, India ' Department of Electrical Engineering, IIT Kharagpur, Kharagpur, 721302, India

Abstract: Application of additional oxygen for managing acute exacerbation of Chronic Obstructive Pulmonary Disease (COPD) has an associated risk of oxygen toxicity. The aim of this work is to determine the appropriate level of oxygen for managing such conditions using a mathematical model. In this approach, a noted respiratory regulation model is modified to simulate COPD condition. Using the proposed model, it is established that higher inspired oxygen increases alveolar oxygen, as well as alveolar carbon dioxide. It is also shown that higher inspired oxygen increases oxygen saturation and lowers the ventilation-perfusion ratio mismatch. Using quadratic combination of alveolar oxygen and carbon dioxide pressure, an objective function is proposed to calculate the optimal level of inspired oxygen. Results obtained from this analysis methodology are in agreement with clinical data.

Keywords: mathematical model; respiratory regulation; COPD; chronic obstructive pulmonary disease; oxygen saturation; ventilation-perfusion ratio; convex optimisation; oxygen therapy.

DOI: 10.1504/IJMIC.2020.110351

International Journal of Modelling, Identification and Control, 2020 Vol.34 No.2, pp.137 - 146

Received: 31 Jul 2019
Accepted: 20 Dec 2019
Published online: 15 Oct 2020 *

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