Nonlinear dynamic modeling of results of synchronous measurements of carbon dioxide concentration with air pressure at person breath and exhalation

Abstract

Nonlinear dynamic modeling of results of synchronous measurements of carbon dioxide concentration with air pressure at person breath and exhalation by the Non Linear Auto-Regressive Moving Average with Exogenous Inputs method (NARMAX) is presented. Modeling connects of pressure change characteristics in the person breath course with the carbon dioxide concentration in the inhaled/exhaled air at synchronous measurement. Comparison of chaotic invariants of measurements results - correlation dimension and entropy - of carbon dioxide concentration with air pressure at person breath exhalation with the presented model.

Keywords

• narmax
• nonlinear dynamic modeling
• narmax
• carbon dioxide concentration
• air pressure
• synchronization
• correlation dimension
• correlation entropy