On the potential of using fractional-order systems to model the respiratory impedance

Abstract

This contribution provides an analysis of the human respiratory system in frequency domain by means of estimating the respiratory impedance. Further on, analysis of several models for human respiratory impedance is done, leading to the conclusion that a fractional model gives a better description of the impedance than the classical theory of integer-order systems. A mathematical analysis follows, starting from the conclusions obtained heuristically. Correlation to the physiological characteristics of the respiratory system is discussed.

Keywords

• Modeling
• respiratory system
• non-parametric modeling
• parametric modeling
• Laplace operator
• fractional derivatives
• fractional integrals