The purpose was to compare a mathematical model of oxygen uptake and bioenergetic systems to an experimental protocol. Twelve (N = 12) noncyclists (NC), age (21.8 ± 1.4 years), and 8 (N = 8) cyclists (C), age (30.5 ± 5.7 years), were subjects. All subjects signed an informed consent. Oxygen consumption (VO2, ml·kg⁻¹·min⁻¹) was measured with steady-state VO2 requirements and responses determined using the mathematical model from the following equation: VO2 (WR) = VO2 (rest) + VO2 (unloading pedaling) + α.WR; ΔVO2(t, WR) = ΔVO2 (WR) = [1-e[-(t-td)/tO2]. Exercise means (SD) included the following: VO2NC(WR) = 48.4 (16.6) ml⁻¹·min⁻¹ for NCs and VO2C(WR) = 56.4 (24.95) ml⁻¹·min⁻¹ for Cs ; ΔVO2C(t, WR) = 6:38 ml⁻¹·min⁻¹ for NCs and ΔVO2C(t, WR) = 7.44 ml⁻¹·min⁻¹ for Cs. The correlation between the mathematical model and actual measure was statistically significant (p < 0.01) with a coefficient of r = 0.947. The experimental protocol was significantly associated with the mathematical model. This allows for a quantitative analysis and safe prediction of steady-state oxygen uptake conditions on populations before exposure to exercising conditions. Through more precise analysis of conditions, greater specificity of training may lead to more predictable adaptation outcomes.