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Literature DB >> 8263429

A mathematical model for the force and energetics in competitive running.

Abstract

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.

Mesh：

Substances：
Adenosine Triphosphate

Year: 1993 PMID： 8263429 DOI： 10.1007/bf00168050

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

8 in total

1. Modelling human power and endurance.

Authors: R H Morton
Journal: J Math Biol Date: 1990 Impact factor: 2.259

2. Mechanical work and efficiency in level walking and running.

Authors: G A Cavagna; M Kaneko
Journal: J Physiol Date: 1977-06 Impact factor: 5.182

3. A three component model of human bioenergetics.

Authors: R H Morton
Journal: J Math Biol Date: 1986 Impact factor: 2.259

4. Calculated equilibria of phosphocreatine and adenosine phosphates during utilization of high energy phosphate by muscle.

Authors: R W McGilvery; T W Murray
Journal: J Biol Chem Date: 1974-09-25 Impact factor: 5.157

5. Scaling of energetic cost of running to body size in mammals.

Authors: C R Taylor; K Schmidt-Nielsen; J L Raab
Journal: Am J Physiol Date: 1970-10

6. Maximal muscular power, aerobic and anaerobic, in 116 athletes performing at the XIXth olympic games in Mexico.

Authors: P E Di Prampero; F Piñera Limas; G Sassi
Journal: Ergonomics Date: 1970-11 Impact factor: 2.778

7. A mathematical theory of running, based on the first law of thermodynamics, and its application to the performance of world-class athletes.

Authors: A J Ward-Smith
Journal: J Biomech Date: 1985 Impact factor: 2.712

8. Breakdown of high-energy phosphate compounds and lactate accumulation during short supramaximal exercise.

Authors: J Hirvonen; S Rehunen; H Rusko; M Härkönen
Journal: Eur J Appl Physiol Occup Physiol Date: 1987

8 in total

4 in total

A mathematical model for the force and energetics in competitive running.

1. Modelling human power and endurance.

2. Mechanical work and efficiency in level walking and running.

3. A three component model of human bioenergetics.

4. Calculated equilibria of phosphocreatine and adenosine phosphates during utilization of high energy phosphate by muscle.

5. Scaling of energetic cost of running to body size in mammals.

6. Maximal muscular power, aerobic and anaerobic, in 116 athletes performing at the XIXth olympic games in Mexico.

7. A mathematical theory of running, based on the first law of thermodynamics, and its application to the performance of world-class athletes.

8. Breakdown of high-energy phosphate compounds and lactate accumulation during short supramaximal exercise.

Review 1. The critical power and related whole-body bioenergetic models.

Review 2. Describing and understanding pacing strategies during athletic competition.

3. Optimizing running a race on a curved track.

4. How to build a new athletic track to break records.