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A minimal power model for human running performance.

Matthew Mulligan1, Guillaume Adam2, Thorsten Emig2,3

  • 1Claremont McKenna College, W.M. Keck Science Department, Claremont, California, United States of America.

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Summary
This summary is machine-generated.

A new minimal model explains human running performance using a relative metabolic power scale. It accurately predicts race times and speeds from 800m to marathon, offering personalized insights for runners.

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Area of Science:

  • Sports Science
  • Human Physiology
  • Biomechanics

Background:

  • Existing human running performance models vary in complexity and data sources.
  • Models often integrate world record data with human bio-energetics.

Purpose of the Study:

  • To develop a novel, minimal, and universal model for human running performance.
  • To utilize a relative metabolic power scale for performance prediction.
  • To derive observed logarithmic scaling in running speeds and times from fundamental principles.

Main Methods:

  • Developed a self-consistency relation for time-dependent maximal power output.
  • Employed an analytic approach based on metabolic power supply principles.
  • Validated the model against world, national, and personal best running records.

Main Results:

  • The model accurately describes female and male record performances from 800m to marathon distances.
  • Achieved mean errors consistently below 1% in performance predictions.
  • Demonstrated a novel definition of endurance with symmetry between short and long races.

Conclusions:

  • The proposed minimal model provides an excellent, universal framework for human running performance.
  • The model's accuracy validates its foundation in metabolic power supply principles.
  • Applications include deriving personalized characteristic race speeds for various durations and distances.