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Int J Sports Med 2015; 36(09): 699-704
DOI: 10.1055/s-0035-1547283
Review
© Georg Thieme Verlag KG Stuttgart · New York

Force-velocity Relationship of Muscles Performing Multi-joint Maximum Performance Tasks

S. Jaric
1   Department of Kinesiology and Applied Physiology & Biomechanics and Movement Science Graduate Program, University of Delaware, Newark, United States
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Publication History



accepted after revision 19 February 2015

Publication Date:
25 March 2015 (online)

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Abstract

Manipulation of external loads typically provides a range of force, velocity, and power data that allows for modeling muscle mechanical characteristics. While a typical force-velocity relationship obtained from either in vitro muscles or isolated muscle groups can be described by a hyperbolic equation, the present review paper reveals the evidence that the same relationship obtained from maximum-performance multi-joint movements could be approximately linear. As a consequence, this pattern also results in a relatively simple shape of the power-velocity relationship. The parameters of the linear force-velocity relationship reveal the maximum force, velocity and power. Recent studies conducted on various functional movement tasks reveal that these parameters could be reliable, on average moderately valid, and typically sensitive enough to detect differences among populations of different physical abilities. Therefore, the linear force-velocity relationship together with the associated parabolic power-velocity relationship could provide both a new and simplified approach to studies of the design and function of human muscular system and its modeling. Regarding the practical applications, the reviewed findings also suggest that the loaded multi-joint movements could be developed into relatively simple routine tests of the force-, velocity- and power-generating capacity of the neuromuscular system.

Key words

power-velocity - linear - regression - parameters - load - performance
 

  • References

  • 1 Allison SJ, Brooke-Wavell K, Folland JP. Multiple joint muscle function with ageing: the force-velocity and power-velocity relationships in young and older men. Aging Clin Exp Res 2013; 25: 159-166
    CrossrefPubMedGoogle Scholar
  • 2 Bobbert MF. Why is the force-velocity relationship in leg press tasks quasi-linear rather than hyperbolic?. J Appl Physiol 2012; 112: 1975-1983
    CrossrefPubMedGoogle Scholar
  • 3 Bobbert MF. Effect of unloading and loading on power in simulated countermovement and squat jumps. Med Sci Sports Exerc 2014; 46: 1176-1184
    CrossrefPubMedGoogle Scholar
  • 4 Bobbert MF, Casius LJ, Sijpkens IW, Jaspers RT. Humans adjust control to initial squat depth in vertical squat jumping. J Appl Physiol 2008; 105: 1428-1440
    CrossrefPubMedGoogle Scholar
  • 5 Bobbert MF, van Soest AJ. Why do people jump the way they do?. Exerc Sport Sci Rev 2001; 29: 95-102
    Google Scholar
  • 6 Bosco C, Belli A, Astrua M, Tihanyi J, Pozzo R, Kellis S, Tsarpela O, Foti C, Manno R, Tranquilli C. A dynamometer for evaluation of dynamic muscle work. Eur J Appl Physiol 1995; 70: 379-386
    CrossrefPubMedGoogle Scholar
  • 7 Bozic PR, Pazin N, Berjan B, Jaric S. Evaluation of alternating consecutive maximum contractions as an alternative test of neuromuscular function. Eur J Appl Physiol 2012; 112: 1445-1456
    PubMedGoogle Scholar
  • 8 Buttelli O, Vandewalle H, Peres G. The relationship between maximal power and maximal torque-velocity using an electronic ergometer. Eur J Appl Physiol Occup Physiol 1996; 73: 479-483
    CrossrefPubMedGoogle Scholar
  • 9 Cormie P, McGuigan MR, Newton RU. Developing maximal neuromuscular power: part 1 – biological basis of maximal power production. Sports Med 2011; 41: 17-38
    CrossrefPubMedGoogle Scholar
  • 10 Cormie P, McGuigan MR, Newton RU. Developing maximal neuromuscular power: part 2 – training considerations for improving maximal power production. Sports Med 2011; 41: 125-146
    CrossrefPubMedGoogle Scholar
  • 11 Cronin JB, McNair PJ, Marshall RN. Force-velocity analysis of strength-training techniques and load: implications for training strategy and research. J Strength Cond Res 2003; 17: 148-155
    CrossrefPubMedGoogle Scholar
  • 12 Cuk I, Markovic M, Nedeljkovic A, Ugarkovic D, Kukolj M, Jaric S. Force-velocity relationship of leg extensors obtained from loaded and unloaded vertical jumps. Eur J Appl Physiol 2014; 114: 1703-1714
    CrossrefPubMedGoogle Scholar
  • 13 Driss T, Vandewalle H. The measurement of maximal (anaerobic) power output on a cycle ergometer: a critical review. Biomed Res Int 2013; 2013: 589361
    PubMedGoogle Scholar
  • 14 Driss T, Vandewalle H, Le Chevalier JM, Monod H. Force-velocity relationship on a cycle ergometer and knee-extensor strength indices. Can J Appl Physiol 2002; 27: 250-262
    CrossrefPubMedGoogle Scholar
  • 15 Driss T, Vandewalle H, Monod H. Maximal power and force-velocity relationships during cycling and cranking exercises in volleyball players. Correlation with the vertical jump test. J Sports Med Phys Fitness 1998; 38: 286-293
    PubMedGoogle Scholar
  • 16 Fenn WO, Marsh BS. Muscular force at different speeds of shortening. J Physiol 1935; 85: 277-297
    CrossrefPubMedGoogle Scholar
  • 17 Hill AV. The heat of shortening and the dynamic constants of muscle. Proc Roy Soc (Lond) 1938; 126: 136-195
    CrossrefPubMedGoogle Scholar
  • 18 Hintzy F, Tordi N, Predine E, Rouillon JD, Belli A. Force-velocity characteristics of upper limb extension during maximal wheelchair sprinting performed by healthy able-bodied females. J Sports Sci 2003; 21: 921-926
    CrossrefPubMedGoogle Scholar
  • 19 Jaric S, Markovic G. Leg muscle design: the maximum dynamic output hypothesis. Med Sci Sports Exerc 2009; 41: 780-787
    CrossrefPubMedGoogle Scholar
  • 20 Jaric S, Markovic G. Body mass maximizes power output in human jumping: a strength-independent optimum loading behavior. Eur J Appl Physiol 2013; 113: 2913-2923
    CrossrefPubMedGoogle Scholar
  • 21 Jimenez-Reyes P, Samozino P, Cuadrado-Penafiel V, Conceicao F, Gonzalez-Badillo JJ, Morin JB. Effect of countermovement on power-force-velocity profile. Eur J Appl Physiol 2014; 114: 2281-2288
    CrossrefPubMedGoogle Scholar
  • 22 Latash ML, Scholz JP, Schoner G. Toward a new theory of motor synergies. Motor Control 2007; 11: 276-308
    PubMedGoogle Scholar
  • 23 Leontijevic B, Pazin N, Bozic PR, Kukolj M, Ugarkovic D, Jaric S. Effects of loading on maximum vertical jumps: Selective effects of weight and inertia. J Electromyogr Kinesiol 2012; 22: 286-293
    CrossrefPubMedGoogle Scholar
  • 24 Leontijevic B, Pazin N, Kukolj M, Ugarkovic D, Jaric S. Selective effects of weight and inertia on maximum lifting. Int J Sports Med 2013; 34: 232-238
    Article in Thieme ConnectPubMedGoogle Scholar
  • 25 Limonta E, Sacchi M. Morphological analysis of force/velocity relationship in dynamic exercise at varying loads. J Strength Cond Res 2010; 24: 2065-2072
    CrossrefPubMedGoogle Scholar
  • 26 Mandic R, Jakovljevic S, Jaric S. Effects of countermovement depth on kinematic and kinetic patterns of maximum vertical jumps. J Electromyogr and Kinesiol 2015; 25: 265-272
    PubMedGoogle Scholar
  • 27 Markovic G, Jaric S. Positive and negative loading and mechanical output in maximum vertical jumping. Med Sci Sports Exerc 2007; 39: 1757-1764
    CrossrefPubMedGoogle Scholar
  • 28 Markovic S, Mirkov DM, Nedeljkovic A, Jaric S. Body size and countermovement depth confound relationship between muscle power output and jumping performance. Hum Mov Sci 2014; 33: 203-210
    CrossrefPubMedGoogle Scholar
  • 29 McMahon TA. Muscles, reflexes, and locomotion. Princeton: Princeton University Press; 1984
    Google Scholar
  • 30 Miyamoto N, Wakahara T, Sugisaki N, Murata K, Kanehisa H, Fukunaga T, Kawakami Y. Effect of countermovement on elbow joint extension power-load characteristics. J Sports Sci 2010; 28: 1535-1542
    CrossrefPubMedGoogle Scholar
  • 31 Nikolaidis PT. Age- and sex-related differences in force-velocity characteristics of upper and lower limbs of competitive adolescent swimmers. J Hum Kinet 2012; 32: 87-95
    PubMedGoogle Scholar
  • 32 Nuzzo JL, McBride JM, Dayne AM, Israetel MA, Dumke CL, Triplett NT. Testing of the maximal dynamic output hypothesis in trained and untrained subjects. J Strength Cond Res 2010; 24: 1269-1276
    CrossrefPubMedGoogle Scholar
  • 33 Rahmani A, Locatelli E, Lacour JR. Differences in morphology and force/velocity relationship between Senegalese and Italian sprinters. Eur J Appl Physiol 2004; 91: 399-405
    CrossrefPubMedGoogle Scholar
  • 34 Rahmani A, Viale F, Dalleau G, Lacour JR. Force/velocity and power/velocity relationships in squat exercise. Eur J Appl Physiol 2001; 84: 227-232
    CrossrefPubMedGoogle Scholar
  • 35 Ravier G, Grappe F, Rouillon JD. Application of force-velocity cycle ergometer test and vertical jump tests in the functional assessment of karate competitor. J Sports Med Phys Fitness 2004; 44: 349-355
    PubMedGoogle Scholar
  • 36 Sahaly R, Vandewalle H, Driss T, Monod H. Maximal voluntary force and rate of force development in humans – importance of instruction. Eur J Appl Physiol 2001; 85: 345-350
    CrossrefPubMedGoogle Scholar
  • 37 Samozino P, Edouard P, Sangnier S, Brughelli M, Gimenez P, Morin JB. Force-velocity profile: imbalance determination and effect on lower limb ballistic performance. Int J Sports Med 2014; 35: 505-510
    Article in Thieme ConnectPubMedGoogle Scholar
  • 38 Samozino P, Rejc E, Di Prampero PE, Belli A, Morin JB. Optimal force-velocity profile in ballistic movements – altius: citius or fortius?. Med Sci Sports Exerc 2012; 44: 313-322
    CrossrefPubMedGoogle Scholar
  • 39 Samozino P, Rejc E, di Prampero PE, Belli A, Morin JB. Force-velocity properties’ contribution to bilateral deficit during ballistic push-off. Med Sci Sports Exerc 2014; 46: 107-114
    CrossrefPubMedGoogle Scholar
  • 40 Sanchez-Medina L, Gonzalez-Badillo JJ, Perez CE, Pallares JG. Velocity- and power-load relationships of the bench pull vs. bench press exercises. Int J Sports Med 2014; 35: 209-216
    Article in Thieme ConnectPubMedGoogle Scholar
  • 41 Sargeant AJ, Hoinville E, Young A. Maximum leg force and power output during short-term dynamic exercise. J Appl Physiol 1981; 51: 1175-1182
    PubMedGoogle Scholar
  • 42 Seck D, Vandewalle H, Decrops N, Monod H. Maximal power and torque-velocity relationship on a cycle ergometer during the acceleration phase of a single all-out exercise. Eur J Appl Physiol 1995; 70: 161-168
    CrossrefPubMedGoogle Scholar
  • 43 Sheppard JM, Cormack S, Taylor KL, McGuigan MR, Newton RU. Assessing the force-velocity characteristics of the leg extensors in well-trained athletes: the incremental load power profile. J Strength Cond Res 2008; 22: 1320-1326
    CrossrefPubMedGoogle Scholar
  • 44 Sprague RCt, Martin JC, Davidson CJ, Farrar RP. Force-velocity and power-velocity relationships during maximal short-term rowing ergometry. Med Sci Sports Exerc 2007; 39: 358-364
    CrossrefPubMedGoogle Scholar
  • 45 Suzovic D, Markovic G, Pasic M, Jaric S. Optimum load in various vertical jumps support the maximum dynamic output hypothesis. Int J Sports Med 2013; 34: 1007-1014
    Article in Thieme ConnectPubMedGoogle Scholar
  • 46 van der Tillar R, Ettema G. A force-velocity relationship and coordination patterns in overarm throwing. J Sports Sci Med 2004; 3: 211-219
    PubMedGoogle Scholar
  • 47 van Soest AJ, Casius LJ. Which factors determine the optimal pedaling rate in sprint cycling?. Med Sci Sports Exerc 2000; 32: 1927-1934
    CrossrefPubMedGoogle Scholar
  • 48 Vanderthommen M, Francaux M, Johnson D, Dewan M, Lewyckyj Y, Sturbois X. Measurement of the power output during the acceleration phase of all-out arm cranking exercise. Int J Sports Med 1997; 18: 600-606
    Article in Thieme ConnectPubMedGoogle Scholar
  • 49 Vandewalle H, Peres G, Heller J, Panel J, Monod H. Force-velocity relationship and maximal power on a cycle ergometer. Correlation with the height of a vertical jump. Eur J Appl Physiol 1987; 56: 650-656
    CrossrefPubMedGoogle Scholar
  • 50 Wilkie DR. The relationship between force and velocity in human muscle. Journal of Physiology 1950; 110: 249-280
    PubMedGoogle Scholar
  • 51 Yamauchi J, Ishii N. Relations between force-velocity characteristics of the knee-hip extension movement and vertical jump performance. J Strength Cond Res 2007; 21: 703-709
    PubMedGoogle Scholar
  • 52 Yamauchi J, Mishima C, Nakayama S, Ishii N. Force-velocity, force-power relationships of bilateral and unilateral leg multi-joint movements in young and elderly women. J Biomech 2009; 42: 2151-2157
    CrossrefPubMedGoogle Scholar
  • 53 Yoshihuku Y, Herzog W. Maximal muscle power output in cycling: a modelling approach. J Sports Sci 1996; 14: 139-157
    CrossrefPubMedGoogle Scholar