Computational Linear Modeling for Human Lung Mechanics

The respiratory system plays a crucial role in the transportation of oxygen and carbon dioxide. As pulmonary research advances rapidly, mathematical modeling of the respiratory system has become essential for monitoring the causes and effects of various pulmonary diseases. A medical ventilator is a device that provides mechanical ventilation by moving air into and out of the lungs. Ventilator testing and calibration are typically performed using large-scale machines, which need to be miniaturized for greater efficiency.To address this need, ventilator calibration equipment should be designed to simulate lung mechanics and display results based on input parameters. A compact model can be developed using SIMULINK and MATLAB to simulate both normal and abnormal respiratory conditions. This model functions similarly to a pressure-controlled ventilator, where a pressure wave serves as the input. The obtained pressure and flow values—IP = 27 cmH<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>O, PEEP = 8 cmH<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>O, and CT = 10 mL/cmH<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>O—are recorded from a pressure-controlled ventilator. This process is repeated for seven full breathing cycles, lasting approximately 21 seconds. Such simulations are invaluable for pulmonary research, providing deeper insights into respiratory mechanics.