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Link to original content: https://doi.org/10.1007/BF00430237
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Optimization of energy expenditure during level walking

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Abstract

An analytical relationship between the basic variables of walking — step rate, step length, and metabolic energy expenditure — is formulated with the aid of data derived from the only two complete studies in the literature (Atzler and Herbst, 1927; Molen et al., 1972b). The relationship in its hyperbolic form indicates that for any given step length within the normal range of walking speeds (approximately up to 145 m/min) there is a unique step rate which requires minimal energy expenditure per unit distance traversed. Matching the given step length with any other step rate results in greater energy demand. As derived here, the condition of optimality requires that the step rate be directly proportional to the step length with a subject-dependent proportionality constant. Imposing this optimality constraint on the hyperbolic form yields an optimal pattern equation which virtually coincides, up to speeds of about 100 m/min, with an empirical equation of quadratic form, found by a number of investigators to adequately relate energy expenditure to speed under moderate walking conditions.

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References

  • Atzler, E., Herbst, R.: Arbeitsphysiologische Studien. III. Teil. Pflügers Arch. ges. Physiol. 215, 291–328 (1927)

    Google Scholar 

  • Benedict, F. G., Murschhauser, H.: Energy transformations during horizontal walking. Carnegie Institution of Washington Pub. 231, pp. 52–60. Washington, D.C.: The Institution 1915

    Google Scholar 

  • Bobbert, A. C.: Energy expenditure in level and grade walking. J. appl. Physiol. 15, 1015–1021 (1960)

    Google Scholar 

  • Booyens, J., Keatinge, W. R.: The expenditure of energy by men and women walking. J. Physiol. (Lond.) 138, 165–171 (1957)

    Google Scholar 

  • Corcoran, P. J., Brengelmann, G. L.: Oxygen uptake in normal and handicapped subjects, in relation to speed of walking beside velocity-controlled cart. Arch. phys. Med. 51, 78–87 (1970)

    Google Scholar 

  • Cotes, J. E., Meade, F.: The energy expenditure and mechanical energy demand in walking. Ergonomics 3, 97–119 (1960)

    Google Scholar 

  • Daniels, F., Vanderbie, J. H., Winsmann, F. R.: Energy cost of treadmill walking compared to road walking. Report No. 220, Environmental Protection Division, Natick QM Research and Development Laboratory, Lawrence, Mass. (1953)

  • Dean, G. A.: An analysis of the energy expenditure in level and grade walking. Ergonomics 8, 31–47 (1965)

    Google Scholar 

  • Durnin, J. V. G. A., Mikulicic, V.: The influence of graded exercises on the oxygen consumption, pulmonary ventilation and heart rate of young and elderly men. Quart. J. exp. Physiol. 41, 442–452 (1956)

    Google Scholar 

  • Lamoreux, L. W.: Kinematic measurements in the study of human walking. Bull. Prosthet. Res. BPR 10–15, 3–84 (1971)

    Google Scholar 

  • Mahadeva, K., Passmore, R., Woolf, B.: Individual variations in the metabolic cost of standardized exercises: The effects of food, age, sex and race. J. Physiol. (Lond.) 121, 225–231 (1953)

    Google Scholar 

  • Margaria, R.: Sulla fisiologia e specialmente sul consumo energetico della marcia e della corsa a varie velocita ed inclinazioni del terreno. Atti Accad. naz. Lincei, Mem. 7, 299–368 (1938)

    Google Scholar 

  • Menier, D. R., Pugh, L. G. C. E.: The relation of oxygen intake and velocity of walking and running, in competition walkers. J. Physiol. (Lond.) 197, 717–721 (1968)

    Google Scholar 

  • Molen, N. H., Rozendal, R. H.: Energy expenditure in normal test subjects walking on a motor-driven treadmill. Proc. kon. ned. Akad. Wet. C 70, 192–200 (1967)

    Google Scholar 

  • Molen, N. H., Rozendal, R. H., Boon, W.: Fundamental characteristics of human gait in relation to sex and location. Proc. kon. ned. Akad. Wet. C 75, 215–223 (1972a)

    Google Scholar 

  • Molen, N. H., Rozendal, R. H., Boon, W.: Graphic representation of the relationship between oxygen-consumption and characteristics of normal gait of the human male. Proc. kon. ned. Akad. Wet. C 75, 305–314 (1972b)

    Google Scholar 

  • Müller, E. A., Hettinger, Th.: Arbeitsphysiologische Untersuchungen verschiedener Oberschenkel-Kunstbeine. Z. Orthop. 81, 525–545 (1952)

    Google Scholar 

  • Ralston, H. J.: Energy-speed relation and optimal speed during level walking. Int. Z. angew. Physiol. 17, 277–283 (1958)

    Google Scholar 

  • Reitemeyer, H.: Energieumsatz und Gangbild beim Gehen und Radfahren mit einem Unterschenkelkunstbein. Z. Orthop. 86, 571–582 (1955)

    Google Scholar 

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Authors and Affiliations

  1. Biomechanics Laboratory, Department of Mechanical Engineering, University of California, 94720, Berkeley, California

    M. Y. Zarrugh, F. N. Todd & H. J. Ralston

  2. Department of Orthopaedic Surgery, University of California, 94143, San Francisco, California

    M. Y. Zarrugh, F. N. Todd & H. J. Ralston

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  1. M. Y. Zarrugh
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  2. F. N. Todd
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  3. H. J. Ralston
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Zarrugh, M.Y., Todd, F.N. & Ralston, H.J. Optimization of energy expenditure during level walking. Europ. J. Appl. Physiol. 33, 293–306 (1974). https://doi.org/10.1007/BF00430237

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  • DOI: https://doi.org/10.1007/BF00430237

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