Numerical study of blood partial pressure of the human respiratory system

Abstract

The study of blood partial pressure of human respiratory system is an important subject of human health. Respiration is the process of breathing in and out through the respiratory system. Lungs, Airways, Diaphragm, windpipe, Throat, Mouth, and Nasal passage are all parts of the respiratory system. People in certain jobs are more likely to have respiratory problems. The construction of a model and its analysis are actually linked with understanding the nature of the mechanism, including physiological mechanisms that satisfy the need of living organism. In the present paper we study the blood partial pressure of the human respiratory system numerically. Blood pressure depends on the heart rate and ventilation, since heart rate and ventilation are playing the important role in controlling the blood pressure. Jean Marie et al (2007) developed a mathematical model for blood partial pressure of the human respiratory system and discussed about the heart rate and ventilation functions. They have used two non linear coupled ordinary differential equations associated to blood pressure in arterial and in venous system. We are using the functions of heart rate and ventilation for determining the blood partial pressure in arterial and venous system. The solution of the system of nonlinear coupled ordinary differential equations is obtained numerically by using Runge Kutta Fourth Order method and the code of this problem in C++ language is also developed. © 2010 International Federation for Medical and Biological Engineering.