Abstract
This chapter shows how the on-off-ground asymmetry and the landing-takeoff asymmetry of the rebound of the body change with running speed, step frequency and age. An increase in running speed causes an increase of the on-off-ground asymmetry and a decrease of the landing-takeoff asymmetry, suggesting that the length change of tendon versus that of muscle in the stretch-shorten cycle of muscle-tendon units increases with speed. At low and intermediate running speeds the freely chosen step frequency equals the resonant frequency of the bouncing system, coincides with the frequency minimizing the metabolic energy expenditure, but is lower than the frequency minimizing the mechanical power output, i.e. metabolic energy is saved by tuning step frequency to the resonant frequency even if this requires a greater mechanical power. At high running speeds a compromise is attained to minimize the aerobic power using longer leaps at a low step frequency within the limit set by the anaerobic-limited push-average power allowing these leaps. In children, as in adults, the freely chosen step frequency equals the natural frequency of the bouncing system up to ~11 km/h, although it decreases with age from 4 Hz at 2 years to 2.5 Hz above 12 years. Above ~11 km/h, the rebound becomes on-off-ground asymmetric in children as in adults. In the old subjects, on the contrary, the bounce is on-off-ground symmetric at all running speeds. The landing-takeoff asymmetry is greater in the oldest than in the youngest, qualitatively consistent with the more asymmetric force-velocity relation described in aged muscle.
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References
Alexander RMN (2002) Tendon elasticity and muscle function. Comp Biochem Physiol A 133:1001–1011
Alexander RMN, Ker RF (1990) Running is priced by the step. Nature 346:220–221
Biewener AA (1998) Muscle–tendon stresses and elastic energy storage during locomotion in the horse. Comp Biochem Physiol B 120:73–87
Biewener AA, Konieczynski DD, Baudinette RV (1998) In vivo muscle force-length behavior during steady-speed hopping in tammar wallabies. J Exp Biol 201:1681–1694
Cavagna GA (1975) Force platforms as ergometers. J Appl Physiol 39:174–179
Cavagna GA (2009) The two asymmetries of the bouncing step. Eur J Appl Physiol 107:739–742
Cavagna GA (2010) Symmetry and asymmetry in bouncing gaits. Symmetry 2:1270–1321
Cavagna GA, Kaneko M (1977) Mechanical work and efficiency in level walking and running. J Physiol (Lond) 268:467–481
Cavagna GA, Franzetti P, Heglund NC, Willems P (1988) The determinants of the step frequency in running, trotting and hopping in man and other vertebrates. J Physiol (Lond) 399:81–92
Cavagna GA, Willems PA, Franzetti P, Detrembleur C (1991) The two power limits conditioning step frequency in human running. J Physiol (Lond) 437:95–108
Cavagna GA, Mantovani M, Willems PA, Musch G (1997) The resonant step frequency in human running. Pflugers Arch 434:678–684
Cavagna GA, Legramandi MA, Peyré-Tartaruga LA (2008a) Old men running: mechanical work and elastic bounce. P Roy Soc Lond B Bio 275:411–418
Cavagna GA, Legramandi MA, Peyré-Tartaruga LA (2008b) The landing-take-off asymmetry of human running is enhanced in old age. J Exp Biol 211:1571–1578
Chi KJ, Schmitt D (2005) Mechanical energy and effective foot mass during impact loading of walking and running. J Biomech 38:1387–1395
Farley CT, Blickhan R, Saito J, Taylor CR (1991) Hopping frequency in humans: a test of how springs set stride frequency in bouncing gaits. J Appl Physiol 71:2127–2132
Fenn WO (1930) Work against gravity and work due to velocity changes in running. Am J Physiol 93:433–462
Fukunaga T, Kawakami Y, Kuno S, Funato K, Fukashiro S (1997) Muscle architecture and function in humans. J Biomech 30:457–463
Gill HS, O’Connor JJ (2003) Heelstrike and the pathomechanics of osteoarthrosis: a pilot gait study. J Biomech 36:1625–1631
Grabowski AM, Herr HM (2009) Leg exoskeleton reduces the metabolic cost of human hopping. J Appl Physiol 107:670–678
Hill AV (1938) The heat of shortening and the dynamic constants of muscle. P Roy Soc Lond B Bio 126:136–195
Karamanidis K, Arampatzis A (2005) Mechanical and morphological properties of different muscle–tendon units in the lower extremity and running mechanics: effect of aging and physical activity. J Exp Biol 208:3907–3923
Katz B (1939) The relation between force and speed in muscular contraction. J Physiol (Lond) 96:45–64
Kawakami Y, Fukunaga T (2006) New insights into in vivo human skeletal muscle function. Exerc Sport Sci Rev 34:16–21
Kawakami Y, Muraoka T, Ito H, Kanehisa H, Fukunaga T (2002) In vivo muscle fiber behavior during counter-movement exercise in humans reveals a significant role for tendon elasticity. J Physiol (Lond) 540:635–646
Ker RF, Bennett MB, Bibby SR, Kester RC, Alexander RMcN (1987) The spring in the arch of the human foot. Nature 325:147–149
Klass M, Baudry S, Duchateau J (2005) Aging does not affect voluntary activation of the ankle dorsiflexors during isometric, concentric and eccentric contractions. J Appl Physiol 99:31–38
Kram R, Taylor CR (1990) Energetics of running: a new perspective. Nature 346:265–267
Kubo K, Kanehisa H, Kawakami Y, Fukunaga T (2000) Elasticity of tendon structures of the lower limbs in sprinters. Acta Physiol Scand 168:327–335
Kurokawa S, Fukunaga T, Fukashiro S (2001) Behavior of fascicles and tendinous structures of human gastrocnemius during vertical jumping. J Appl Physiol 90:1349–1358
Legramandi MA, Schepens B, Cavagna GA (2013) Running humans attain optimal elastic bounce in their teens. Sci Rep 3:1310
Margaria R (1976) Biomechanics and energetic of muscular exercise. Oxford University Press, Oxford. ISBN 0-19-857397-9
McGuigan MP, Yoo E, Lee DV, Biewener AA (2009) Dynamics of goat distal hind limb muscle-tendon function in response to locomotor grade. J Exp Biol 212:2092–2104
Milner CE, Ferber R, Pollard CD, Hamill J, Davis IS (2006) Biomechanical factors associated with tibial stress fracture in female runners. Med Sci Sports Exerc 38:323–328
Morgan DL (1977) Separation of active and passive components of short-range stiffness of muscle. Am J Physiol 232:C45–C49
Moritz CT (2009) A spring in your step: some is good, more is not always better. J Appl Physiol 107:643–644
Ochala J, Dorer DJ, Frontera WR, Krivickas LS (2006) Single skeletal muscle fiber behavior after a quick stretch in young and older men: a possible explanation of the relative preservation of eccentric force in old age. Pflugers Arch 452:464–470
Phillips SK, Bruce SA, Woledge RC (1991) In mice, the muscle weakness due to age is absent during stretching. J Physiol (Lond) 437:63–70
Pohl MB, Hamill J, Davis IS (2009) Biomechanical and anatomic factors associated with a history of plantar fasciitis in female runners. Clin J Sport Med 19:372–376
Porter MM, Vandervoort AA, Kramer JF (1997) Eccentric peak torque of the plantar and dorsiflexors is maintained in older women. J Gerontol A Biol Sci Med Sci 52:B125–B131
Pousson M, Lepers R, Van Hoecke J (2001) Changes in isokinetic torque and muscular activity of elbow flexors muscles with age. Exp Gerontol 36:1687–1698
Roberts TJ, Marsh RL, Weyand PG, Taylor CR (1997) Muscular force in running turkeys: the economy of minimizing work. Science 275:1113–1115
Schepens B, Willems PA, Cavagna GA (1998) The mechanics of running in children. J Physiol 509:927–940
Vandervoort AA, Kramer JF, Wharram ER (1990) Eccentric knee strength of elderly females. J Gerontol 45:B125–B128
Vogel HG (1978) Influence of maturation and age on mechanical and biochemical parameters of connective tissue of various organs in the rat. Connect Tissue Res 6:161–166
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Cavagna, G. (2017). Effect of Speed, Step Frequency and Age on the Bouncing Step. In: Physiological Aspects of Legged Terrestrial Locomotion. Springer, Cham. https://doi.org/10.1007/978-3-319-49980-2_9
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DOI: https://doi.org/10.1007/978-3-319-49980-2_9
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