Simulation of Mathematical Model for Lung and Mechanical Ventilation

Abstract

A mathematical model of artificial ventilation takes more positive evolution weather to represent the lung status during normal breathing or the artificial ventilation. This paper presents a Mathematical Model (MM) of Volume Controlled Ventilator (VCV) output signals, including Positive End Expiration Pressure (PEEP) and Dynamic Compliance (C). The proposed MM is expressed by linear, quadratic and exponential equations to represent the obtained combination of inspiration and expiration activities by VCV for ideal and practical lung cases. The MM of ventilator output signals is combined with existed MM of lung to represent the artificial ventilation process using VCV. The combined MMs are modelled and simulated using Simulink tool in MATLAB program. The input (pressure) signal from VCV and derived output (volume and flow) signals are monitored graphically using constructed simulator. The results clarified the efficiency of proposed MM and simulator. Moreover, the simulator has abilities to display instantaneous and continues waveforms of pressure, flow, volume and P-V loop similar to the real artificial ventilation. The simulator has ability to use as a good training tool for student.