“…gas exchange variables, HR, SpO 2 , and NIRS signals) were averages of the last 2 min of standing prior to starting walking. A single sample with an average final 1-min pulmonary V̇O 2 value (ml min −1 ) and V̇CO 2 (ml min −1 ) at each gait speed were used to obtain the energy expenditure (EE) during walking, based on the following equation (Brouwer, 1957; Masschelein et al, 2012):
To calculate each particular C w , this equation can be transported as follows:
The C w - v relationship can be mathematically described by the following equation (Abe et al, 2015; Wall-Scheffler and Myers, 2013):
where the constants a, b, and c are determined by the least squares regressions with the actually observed C w values at each gait speed. A differential function of the original quadratic Eqn (2) of each individual can be described as follows:
Then, the individual ES was determined at the gait speed when C w ′ ( v ) equaled zero, that is, the individual ES could be observed using the following equation:
We recently reported that standing V̇O 2 amounted approximately 50% of the absolute V̇O 2 at the level gradient at 0.667 m s −1 under normoxia, indicating that a careful consideration should be necessary to calculate C w and ES by subtracting the standing metabolic rate (Abe et al, 2015).…”