Modelling of cyclist's power to overcome dissipative forces on a velodrome

We model the instantaneous power applied by a cyclist on a velodrome – for individual pursuits and other individual time trials – taking into account its straights, circular arcs, and connecting transition curves. The forces opposing the motion are air resistance, rolling resistance, lateral friction and drivetrain resistance. We examine the constant-cadence and constant-power cases, and discuss their results, including an examination of empirical adequacy of the model.