Optimization models for the force and energy in competitive running

Byline: Horst Behncke (1) Keywords: Key words:aCompetitive running; Force; Energy Abstract: aIn [2] the author has developed an optimization model for the force and energy in competitive running. In this paper the energy processes in the muscle were described by a three-compartment hydraulic model. Here this is reviewed briefly and applied to the current world records in order to determine the key parameters, maximal force, energy reserves and oxygen uptake. These values agree well with those given in the literature and those obtained by other means. The velocity profiles for 100am sprints are described equally well. The model is then applied to older world records to deduce a relation between the force and energy by linear regression. Finally the fully parameterized model is used to compute the effects of adverse wind and altitude. Inasmuch as there are data available, there is a good agreement. Author Affiliation: (1) Fachbereich Mathematik/Informatik, Universitat Osnabruck, Germany Fax (0541) 969-2770, DE Article note: Received 19 July 1995 received in revised form 27 February 1996