Title: Mathematical modelling of human cardiovascular-respiratory system responses to exercise in Rwanda

Authors: Jean Marie Ntaganda; Japhet Niyobuhungiro; Wellars Banzi; Lydie Mpinganzima; Froduald Minani; Jean Bosco Gahutu; Vincent Dusabejambo; Immaculate Kambutse

Addresses: Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O.Box 3900 Kigali, Rwanda ' Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O.Box 3900 Kigali, Rwanda ' Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O.Box 3900 Kigali, Rwanda ' Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O.Box 3900 Kigali, Rwanda ' Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O.Box 3900 Kigali, Rwanda ' School of Medicine, College of Medicine and Health Sciences, University of Rwanda, Rwanda ' School of Medicine, College of Medicine and Health Sciences, University of Rwanda, Rwanda ' Department of Internal Medicine, King Faisal Hospital, KG 544 St., Kigali, Rwanda

Abstract: In this paper, we present a nonlinear dynamic model for the interactive mechanism of cardiovascular and respiratory system. The model is designed and analysed for human during physical exercises. In order toverify the adequacy of the designed model, data collected in Rwanda are used for validation. We have simulated the impact of heart rate and alveolar ventilation as controls of cardiovascular and respiratory system respectively to steady state response of the main cardiovascular hemodynamic quantities, i.e., systemic arterial and venous blood pressures, arterial oxygen partial pressure and arterial carbon dioxide partial pressure, to the stabilised values of controls. We used data collected in Rwanda for both male and female during physical activities. We obtained a good agreement with physiological data in the literature. The model may represent an important tool to improve the understanding of exercise physiology.

Keywords: hemodynamic quantities; cardiovascular/respiratory system; numerical simulation; exercise; physical activity; sportsmen in Rwanda.

DOI: 10.1504/IJMMNO.2019.100520

International Journal of Mathematical Modelling and Numerical Optimisation, 2019 Vol.9 No.3, pp.287 - 308

Received: 23 Feb 2018
Accepted: 13 Sep 2018
Published online: 29 Jun 2019 *

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