Table 1 Sensitivity of the performance to various model parameters for four identical cyclists (with characteristics described in “Physiological modeling section”), imposing a constant length of 4 half-laps for each relay. \(\Pi\) denotes the parameters at stake, a linear function is fitted to the graph \(\frac{dt_{end}}{t_{end}} = f(\frac{d\Pi }{\Pi })\) and the coefficient of determination \(R^2\) is given to confirm the approach.
From: Individualized optimal strategy in team pursuit for track cycling
\(\Pi\) (studied parameter) | \(\rho _{air}\) | \(Sc_D\) | \(\mu\) | \(D_{end}\) | \(P_{start}\) | \(P_{max}\) | \(E_{non-ox}\) | \(P_{LS1}\) | \(P_{crit}\) | \(\dot{V}O_{2,max}\) |
|---|---|---|---|---|---|---|---|---|---|---|
slope of \(\frac{dt_{end}}{t_{end}} = f(\frac{d\Pi }{\Pi })\) | +0.31 | +0.31 | +0.21 | +1.03 | -0.02 | -0.02 | -0.10 | -0.05 | -0.20 | -0.24 |
\(R^2\) | 0.9986 | 0.9984 | 0.8776 | 0.9936 | 0.8980 | 0.8462 | 0.9913 | 0.9720 | 0.9975 | 0.9403 |
typical \(\frac{d\Pi }{\Pi }\) (%) | +5 | +20 | +5 | +1 | +10 | +10 | +10 | +10 | +10 | +5 |
corresponding change in \(t_{end}\) (s) | +3.8 | +15.2 | +2.6 | +1.7 | -0.4 | -0.4 | -2.4 | -1.2 | -4.8 | -2.9 |