  We investigate the dynamics of a bicycle on an uneven mountain bike track
split into straight sections with small jumps (kickers) and banked corners. A
basic bike-rider model is proposed and used to derive equations of motion,
which capture the possibilities to accelerate the bicycle without pedaling.
Since this is a first approach to the problem, only corners connected by
straight lines are considered to compute optimal riding strategies. The
simulation is validated with experimental data obtained on a real pump track.
It is demonstrated that the model effectively captures the longitudinal bike
acceleration resulting from the relative vertical motion between the rider's
upper body and the bicycle. Our numerical results are in good analogy with real
rider's actions on similar tracks.
