Optimization models for the force and energy in competitive running.

*(English)*Zbl 0866.92001Summary: In J. Math. Biol. 31, No. 8, 853-878 (1993; Zbl 0782.92007), the author has developed an optimization model for the force and energy in competitive running. 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 100 m 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.