A mathematical method for the force and energetics in competitive running

DOI10.1007/BF00168050zbMath0782.92007OpenAlexW2026603744WikidataQ52406371 ScholiaQ52406371MaRDI QIDQ688489

Horst Behncke

Publication date: 21 November 1993

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00168050

zbMATH Keywords

velocity profileoptimization modelenergeticsresistanceforceglycolysissubmodelsrunningmaximum glycolytic rateoxidation of glucose and lipidsphosphagenpiecewise linear, three-compartment model

Mathematics Subject Classification ID

Differential games and control (49N70) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Existence theories for optimal control problems involving ordinary differential equations (49J15) Biomechanics (92C10) Pursuit and evasion games (49N75)

Related Items (5)

How to identify the physiological parameters and run the optimal race ⋮ Optimization of running strategies according to the physiological parameters for a two-runners model ⋮ Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running ⋮ How to Run 100 Meters ⋮ Pace and motor control optimization for a runner

Cites Work

• Unnamed Item
• A three component model of human bioenergetics
• Modelling human power and endurance
• Optimization models for the force and energy in competitive sports
• On Certain Questions in the Theory of Optimal Control

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