Journal of Mathematical Biology

, Volume 35, Issue 4, pp 375–390

Optimization models for the force and energy in competitive running

  • Horst Behncke

DOI: 10.1007/s002850050057

Cite this article as:
Behncke, H. J Math Biol (1997) 35: 375. doi:10.1007/s002850050057


 In [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 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.

Key words: Competitive running Force Energy 

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Horst Behncke
    • 1
  1. 1.Fachbereich Mathematik/Informatik, Universität Osnabrück, Germany Fax (0541) 969-2770DE

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