An Investigation of Fractional-Order Respiratory System Dynamics

In order to represent a respiratory system, a linear model has been applied and for comparison, the same linear model has been represented in terms of the fractional operators. In order to obtain fractional order simulations, a fractional order modeling toolbox, FOMCON, is used. By this manner, integer order and fractional order modeling performances are compared. For different parameter values that correspond to different scenarios, corresponding simulations are obtained and a comparison of parameter values and the integer and fractional order models are investigated. Then, a static model is used and simulated for different parameter values. Also, a stability analysis is implemented by investigating the bode plots of the static model.