Competitive Running on a Hilly Track

  • Elena Andreeva
  • Horst Behncke
Conference paper
Part of the International Series of Numerical Mathematics book series (ISNM, volume 124)


In [4] J.B. Keller treated the problem of competitive running by means of variational calculus. This simple model was improved and put on a more realistic basis in [1]. Both results, however, predict a slowing down in the last phase of a run, which is particularly pronounced in the model of Keller. While this is true for sprints and on the average for longer distance runs, the final sprint in many races seems to belie these conclusions. Two factors are most likely responsible for this effect. The first are psychological influences. Since this is difficult to model mathematically, we shall concentrate here on the physiological factor, glycolysis.


Power Constraint Pyruvic Acid Breathing Rate Terminal Constraint Competitive Running 
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Copyright information

© Springer Basel AG 1998

Authors and Affiliations

  • Elena Andreeva
    • 1
  • Horst Behncke
    • 2
  1. 1.Department of MathematicsTver State UniversityTverRussia
  2. 2.FB Mathematik/InformatikUniversität OsnabrückOsnabrückGermany

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