A mathematical model for the force and energetics in competitive running
Copyright policy )A mathematical model for the force and energetics in competitive running
A simple mathematical model for competitive running is developed. This model contains the force and energy reserves as key variables and it described their relationship and dynamics. It is made up of three submodels for the biomechanics of running the energetics and the optimization. The model for the energetics is an extension of the hydraulic model of Margaria and Morton. The key geometric parameters of this piecewise linear, three compartment model are determined on the basis of well known physiological facts and data.
- Osnabrück University Germany
submodels, Models, Biological, Differential games and control, Running, resistance, Adenosine Triphosphate, Existence theories for optimal control problems involving ordinary differential equations, phosphagen, maximum glycolytic rate, running, Humans, Biomechanics, piecewise linear, three-compartment model, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.), energetics, Muscles, Respiration, optimization model, glycolysis, oxidation of glucose and lipids, Biomechanical Phenomena, Pursuit and evasion games, velocity profile, Energy Metabolism, force, Glycolysis, Locomotion, Mathematics, Muscle Contraction
submodels, Models, Biological, Differential games and control, Running, resistance, Adenosine Triphosphate, Existence theories for optimal control problems involving ordinary differential equations, phosphagen, maximum glycolytic rate, running, Humans, Biomechanics, piecewise linear, three-compartment model, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.), energetics, Muscles, Respiration, optimization model, glycolysis, oxidation of glucose and lipids, Biomechanical Phenomena, Pursuit and evasion games, velocity profile, Energy Metabolism, force, Glycolysis, Locomotion, Mathematics, Muscle Contraction
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