The present invention generally relates to an apparatus and method analyzing the respiratory characteristics of a human respiratory system from impulse oscillometry data, through the use of a linear network of electrical components. The present invention offers an improved alternative to the RIC respiratory circuit model, with an addition of a peripheral resistance to account for the resistance presented by the respiratory systems small airways and of a capacitor to account for extrathoracic compliance. After air pressure and air flow measurements are obtained from the subject by performing Impulse Oscillometry System testing, a graphical representation of a mechanical impedance characteristic may be derived. This allows for the estimation and adjustment of parameter values of the linear network whose components correlate to the resistances, compliances and inertances inherent in the respiratory system. Additionally, the linear network of electrical components may be configured as a virtual network represented in graphical form wherein the parameter values are estimated and adjusted according to program instructions operating on a computer system. The linear network of electrical components serves to provide parametric means for detection, diagnosis and treatment of various pathologies in the human respiratory system.