Abstract
When humans perform isometric ballistic contractions of different intensities, a strong linear relationship is observed between peak force and peak rate of force development. The slope of this relationship, termed the rate of force development scaling factor (RFD-SF), has been proposed as a measure of neuromuscular quickness of submaximal contractions. The RFD-SF is largely dependent on motor unit firing rate and its modulation with contraction intensity, and possibly by agonist–antagonist coordination. The purpose of this review was to critically evaluate the available literature on RFD-SF, including the underlying physiological mechanisms, assessment protocols and methodological considerations, practical application to clinical and sports practice and additional factors such as sex, muscle group, task and fatigue. The main findings of the review are: (a) RFD-SF is very sensitive to impairments associated with aging and neurological diseases, (b) the literature lacks studies on the importance of RFD-SF for athletes, with some evidence that RFD-SF may affect the accuracy of submaximal movements, (c) RFD-SF is not largely influenced by fatigue and sex, (d) the RFD-SF values have been very consistent across muscle groups, with an exception of ankle muscles, (e) the methodology for RFD-SF assessment appears to be well established and standardized. Future research is needed to determine if RFD-SF provides any independent information that cannot be captured with peak force/torque and RFD.
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References
Aagaard P, Simonsen EB, Andersen JL et al (2002) Increased rate of force development and neural drive of human skeletal muscle following resistance training. J Appl Physiol 93:1318–1326. https://doi.org/10.1152/japplphysiol.00283.2002
Angelozzi M, Madama M, Corsica C et al (2012) Rate of force development as an adjunctive outcome measure for return-to-sport decisions after anterior cruciate ligament reconstruction. J Orthop Sports Phys Ther 42:772–780. https://doi.org/10.2519/jospt.2012.3780
Behm DG, Sale DG (1994) Voluntary and evoked muscle contractile characteristics in active men and women. Can J Appl Physiol 19:253–265. https://doi.org/10.1139/h94-021
Bellumori M, Jaric S, Knight CA (2011) The rate of force development scaling factor (RFD-SF): protocol, reliability, and muscle comparisons. Exp Brain Res 212:359–369. https://doi.org/10.1007/s00221-011-2735-7
Bellumori M, Jaric S, Knight CA (2013) Age-related decline in the rate of force development scaling factor. Mot Control 17:370–381. https://doi.org/10.1123/mcj.17.4.370
Bellumori M, Uygur M, Knight CA (2017) High-speed cycling intervention improves rate-dependent mobility in older adults. Med Sci Sports Exerc 49:106–114. https://doi.org/10.1249/MSS.0000000000001069
Beraidelli A, Dick JPR, Rothwell JC et al (1986) Scaling of the size of the first agonist EMG burst during rapid wrist movements in patients with Parkinson’s disease. J Neurol Neurosurg Psychiatry 49:1273–1279. https://doi.org/10.1136/jnnp.49.11.1273
Boccia G, Dardanello D, Brustio PR et al (2018) Neuromuscular fatigue does not impair the rate of force development in ballistic contractions of submaximal amplitudes. Front Physiol. https://doi.org/10.3389/fphys.2018.01503
Bozic PR, Celik O, Uygur M et al (2013) Evaluation of novel tests of neuromuscular function based on brief muscle actions. J Strength Cond Res 27:1568–1578. https://doi.org/10.1519/JSC.0b013e3182711e21
Brustio PR, Casale R, Buttacchio G et al (2019) Relevance of evaluating the rate of torque development in ballistic contractions of submaximal amplitude. Physiol Meas. https://doi.org/10.1088/1361-6579/aaff24
Bulgan C (2016) The relationship between isokinetic knee strength and squat jump performance. Anthropologist 24:440–444. https://doi.org/10.1080/09720073.2016.11892036
Bullock D, Grossberg S (1992) Emergence of tri-phasic muscle activation from the nonlinear interactions of central and spinal neural network circuits. Hum Mov Sci 11:157–167. https://doi.org/10.1016/0167-9457(92)90057-I
Caligiuri MP, Lohr JB, Ruck RK (1998) Scaling of movement velocity: a measure of neuromotor retardation in individuals with psychopathology. Psychophysiology 35:431–437. https://doi.org/10.1111/1469-8986.3540431
Casartelli NC, Lepers R, Maffiuletti NA (2014) Assessment of the rate of force development scaling factor for the hip muscles. Muscle Nerve 50:932–938. https://doi.org/10.1002/mus.24229
Caserotti P, Aagaard P, Buttrup Larsen J, Puggaard L (2008) Explosive heavy-resistance training in old and very old adults: changes in rapid muscle force, strength and power. Scand J Med Sci Sports 18:773–782. https://doi.org/10.1111/j.1600-0838.2007.00732.x
Chou LW, Palmer JA, Binder-Macleod S, Knight CA (2013) Motor unit rate coding is severely impaired during forceful and fast muscular contractions in individuals post stroke. J Neurophysiol 109:2947–2954. https://doi.org/10.1152/jn.00615.2012
Corcos DM, Chen CM, Quinn NP et al (1996) Strength in Parkinson’s disease: relationship to rate of force generation and clinical status. Ann Neurol 39:79–88. https://doi.org/10.1002/ana.410390112
Corrêa TGC, Donato SVS, Lima KCA et al (2020) Age- and sex-related differences in the maximum muscle performance and rate of force development scaling factor of precision grip muscles. Mot Control 24:274–290. https://doi.org/10.1123/mc.2019-0021
D’Emanuele S, Maffiuletti NA, Tarperi C et al (2021) Rate of force development as an indicator of neuromuscular fatigue: a scoping review. Front Hum Neurosci. https://doi.org/10.3389/fnhum.2021.701916
Djordjevic D, Uygur M (2018) Methodological considerations in the calculation of the rate of force development scaling factor. Physiol Meas. https://doi.org/10.1088/1361-6579/aa9f51
Enoka RM (1983) Muscular control of a learned movement: the speed control system hypothesis. Exp Brain Res 51:135–145. https://doi.org/10.1007/BF00236811
Freund HJ, Büdingen HJ (1978) The relationship between speed and amplitude of the fastest voluntary contractions of human arm muscles. Exp Brain Res 31:1–12. https://doi.org/10.1007/BF00235800
Ghez C, Gordon J (1987) Trajectory control in targeted force impulses - I. Role of opposing muscles. Exp Brain Res 67:225–240. https://doi.org/10.1007/BF00248545
Ghez C, Vicario D (1978) The control of rapid limb movement in the cat II. Scaling of isometric force adjustments. Exp Brain Res 33:191–202. https://doi.org/10.1007/BF00238059
Gollnick PD, Sjödin B, Karlsson J et al (1974) Human soleus muscle: a comparison of fiber composition and enzyme activities with other leg muscles. Pflügers Arch Eur J Physiol 348:247–255. https://doi.org/10.1007/BF00587415
Gordon J, Ghez C (1987) Trajectory control in targeted force impulses – II. Pulse height control. Exp Brain Res 67:241–252. https://doi.org/10.1007/BF00248546
Haberland K, Uygur M (2017) Simultaneous assessment of hand function and neuromuscular quickness through a static object manipulation task in healthy adults. Exp Brain Res 235:321–329. https://doi.org/10.1007/s00221-016-4797-z
Hallett M, Shahani BT, Young RR (1975) EMG analysis of stereotyped voluntary movements in man. J Neurol Neurosurg Psychiatry 38:1154–1162. https://doi.org/10.1136/jnnp.38.12.1154
Hannah R, Minshull C, Buckthorpe MW, Folland JP (2012) Explosive neuromuscular performance of males versus females. Exp Physiol 97:618–629. https://doi.org/10.1113/expphysiol.2011.063420
Harridge SDR, Bottinelli R, Canepari M et al (1996) Whole-muscle and single-fibre contractile properties and myosin heavy chain isoforms in humans. Pflug Arch Eur J Physiol 432:913–920. https://doi.org/10.1007/s004240050215
Harrison B, Firth W, Rogers S et al (2013) The relationship between isokinetic performance of hip and knee and jump performance in university rugby players. Isokinet Exerc Sci 21:175–180. https://doi.org/10.3233/IES-130496
Inglis JG, Vandenboom R, Gabriel DA (2013) Sex-related differences in maximal rate of isometric torque development. J Electromyogr Kinesiol 23:1289–1294. https://doi.org/10.1016/j.jelekin.2013.09.005
Inglis JG, McIntosh K, Gabriel DA (2017) Neural, biomechanical, and physiological factors involved in sex-related differences in the maximal rate of isometric torque development. Eur J Appl Physiol 117:17–26. https://doi.org/10.1007/s00421-016-3495-7
Iossifidou A, Baltzopoulos V, Giakas G (2005) Isokinetic knee extension and vertical jumping: are they related? J Sports Sci 23:1121–1127. https://doi.org/10.1080/02640410500128189
Jarvis P, Turner AN, Read P, Bishop C (2021) Reactive strength index and its associations to measure of physical and sports performance: a systemacic review with meta-analysis. Sport Med (in press)
Klass M, Baudry S, Duchateau J (2008) Age-related decline in rate of torque development is accompanied by lower maximal motor unit discharge frequency during fast contractions. J Appl Physiol 104:739–746. https://doi.org/10.1152/japplphysiol.00550.2007
Kozinc Ž, Šarabon N (2020) Inter-limb asymmetries in volleyball players: differences between testing approaches and association with performance. J Sports Sci Med 19:745–752
Kozinc Ž, Smajla D, Šarabon N (2020) Relationship between hip abductor strength, rate of torque development scaling factor and medio-lateral stability in older adults. Gait Posture. https://doi.org/10.1016/j.gaitpost.2020.11.010
Lewis MM, Lee EY, Jo HJ et al (2016) Synergy as a new and sensitive marker of basal ganglia dysfunction: a study of asymptomatic welders. Neurotoxicology 56:76–85. https://doi.org/10.1016/j.neuro.2016.06.016
Maffiuletti NA, Aagaard P, Blazevich AJ et al (2016) Rate of force development: physiological and methodological considerations. Eur J Appl Physiol 116:1091–1116
Mathern RM, Anhorn M, Uygur M (2019) A novel method to assess rate of force relaxation: reliability and comparisons with rate of force development across various muscles. Eur J Appl Physiol 119:291–300. https://doi.org/10.1007/s00421-018-4024-7
McMaster DT, Gill N, Cronin J, McGuigan M (2014) A brief review of strength and ballistic assessment methodologies in sport. Sports Med 44:603–623. https://doi.org/10.1007/s40279-014-0145-2
Mirkov DM, Nedeljkovic A, Milanovic S, Jaric S (2004) Muscle strength testing: evaluation of tests of explosive force production. Eur J Appl Physiol 91:147–154. https://doi.org/10.1007/s00421-003-0946-8
Ng AV, Miller RG, Gelinas D, Kent-Braun JA (2004) Functional relationships of central and peripheral muscle alterations in multiple sclerosis. Muscle Nerve 29:843–852. https://doi.org/10.1002/mus.20038
Park JH, Stelmach GE (2007) Force development during target-directed isometric force production in Parkinson’s disease. Neurosci Lett 412:173–178. https://doi.org/10.1016/j.neulet.2006.11.009
Peñailillo L, Blazevich A, Numazawa H, Nosaka K (2015) Rate of force development as a measure of muscle damage. Scand J Med Sci Sports 25:417–427. https://doi.org/10.1111/sms.12241
Puh U (2010) Age-related and sex-related differences in hand and pinch grip strength in adults. Int J Rehabil Res 33:4–11. https://doi.org/10.1097/MRR.0b013e328325a8ba
Robichaud JA, Pfann KD, Vaillancourt DE et al (2005) Force control and disease severity in Parkinson’s disease. Mov Disord 20:441–450. https://doi.org/10.1002/mds.20350
Rose MH, Løkkegaard A, Sonne-Holm S, Jensen BR (2013) Tremor irregularity, torque steadiness and rate of force development in Parkinson’s disease. Mot Control 17:203–216. https://doi.org/10.1123/mcj.17.2.203
Rouis M, Coudrat L, Jaafar H et al (2015) Assessment of isokinetic knee strength in elite young female basketball players: correlation with vertical jump. J Sports Med Phys Fitness 55:1502–1508
Šarabon N, Čeh T, Kozinc Ž, Smajla D (2020a) Adapted protocol of rate of force development and relaxation scaling factor for neuromuscular assessment in patients with knee osteoarthritis. Knee 27:1697–1707. https://doi.org/10.1016/j.knee.2020.09.023
Šarabon N, Knezevic MO, Mirkov MD, Smajla D (2020b) Introduction of dynamic rate-of-force development scaling factor in progressive drop jumps. J Biomech. https://doi.org/10.1016/j.jbiomech.2020.109980
Sharma KR, Kent-Braun J, Mynhier MA et al (1995) Evidence of an abnormal intramuscular component of fatigue in multiple sclerosis. Muscle Nerve 18:1403–1411. https://doi.org/10.1002/mus.880181210
Smajla D, Knezevic OM, Mirkov DM, Šarabon N (2020a) Interlimb asymmetries and ipsilateral associations of plantar flexors and knee extensors rate-of-force development scaling factor. Symmetry. https://doi.org/10.3390/sym12091522
Smajla D, Kozinc Ž, Šarabon N (2020b) Elbow extensors and volar flexors strength capacity and its relation to shooting performance in basketball players—a pilot study. Appl Sci 10:1–12. https://doi.org/10.3390/app10228206
Smajla D, Žitnik J, Šarabon N (2021a) Quantification of inter-limb symmetries with rate of force development and relaxation scaling factor. Front Physiol. https://doi.org/10.3389/fphys.2021.679322
Smajla D, Žitnik J, Šarabon N (2021b) Advancements in the protocol for rate of force development/relaxation scaling factor evaluation. Front Hum Neurosci. https://doi.org/10.3389/fnhum.2021.654443
Stelmach GE, Teasdale N, Phillips J, Worringham CJ (1989) Force production characteristics in Parkinson’s disease. Exp Brain Res 76:165–172. https://doi.org/10.1007/BF00253633
Suchomel TJ, Nimphius S, Stone MH (2016) The importance of muscular strength in athletic performance. Sports Med 46:1419–1449. https://doi.org/10.1007/s40279-016-0486-0
Taber C, Bellon C, Abbott H, Bingham GE (2016) Roles of maximal strength and rate of force development in maximizing muscular power. Strength Cond J 38:71–78. https://doi.org/10.1519/SSC.0000000000000193
Tillin NA, Pain MTG, Folland J (2013) Explosive force production during isometric squats correlates with athletic performance in rugby union players. J Sports Sci 31:66–76. https://doi.org/10.1080/02640414.2012.720704
Uygur M, de Freitas PB, Barone DA (2020) Rate of force development and relaxation scaling factors are highly sensitive to detect upper extremity motor impairments in multiple sclerosis. J Neurol Sci. https://doi.org/10.1016/j.jns.2019.116500
Van Cutsem M, Duchateau J (2005) Preceding muscle activity influences motor unit discharge and rate of torque development during ballistic contractions in humans. J Physiol 562:635–644. https://doi.org/10.1113/jphysiol.2004.074567
Van Cutsem M, Duchateau J, Hainaut K (1998) Changes in single motor unit behaviour contribute to the increase in contraction speed after dynamic training in humans. J Physiol 513:295–305. https://doi.org/10.1111/j.1469-7793.1998.295by.x
Wierzbicka MM, Wiegner AW, Logigian EL, Young RR (1991) Abnormal most-rapid isometric contractions in patients with Parkinson’s disease. J Neurol Neurosurg Psychiatry 54:210–216. https://doi.org/10.1136/jnnp.54.3.210
Wüst RCI, Morse CI, De Haan A et al (2008) Sex differences in contractile properties and fatigue resistance of human skeletal muscle. Exp Physiol 93:843–850. https://doi.org/10.1113/expphysiol.2007.041764
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Kozinc, Ž., Smajla, D. & Šarabon, N. The rate of force development scaling factor: a review of underlying factors, assessment methods and potential for practical applications. Eur J Appl Physiol 122, 861–873 (2022). https://doi.org/10.1007/s00421-022-04889-4
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DOI: https://doi.org/10.1007/s00421-022-04889-4