Two state quasi-LPV dynamic model for gas exchange dynamics using the cycle-ergometer test

Abstract

This paper presents a two state quasi-linear parameter varying $(quasi-LPV)$ dynamic model for gas exchange dynamics using the cycle-ergometer test. The obtained model, is based on the analysis of stationary and dynamic energy flow, and the $V-slope$ method analysis, applies to both oxidative and glycolytic physical activities performed by an individual. The model parameters were identified by a power meter measuring the mechanical power at the pedal level on an ergometer bicycle (input signal), a commercial gas analyzer measuring the flow of oxygen uptake and the flow of carbon dioxide excreted (output signals), with data generated from two test protocols: a mixed protocol and an incremental cycling protocol. The model’s parameters are obtained in parts, from the measurements taken in the oxidative stage, the glycolytic stage, and the transition stage between the two, using the mixed protocol. The resulting model is validated using data from the incremental cycling protocol of nine individuals: six males and three females. The validated models obtained an accuracy of above 84.8% for the flow of oxygen and 89.1% for the flow of carbon dioxide. The dynamic model could be used to aid in creating personalized physical exercise programs for overweight individuals, simulating training plans within the operational thresholds of the human body or in structuring high performance training for athletes.