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İzokinetik Testlerde Mekanik Terimlerin Atletik Performansla İlişkilendirilmesi: Spor Bilimciler İçin Bir Rehber

Year 2024, Volume: 8 Issue: 2, 49 - 61, 30.08.2024
https://doi.org/10.55238/seder.1403739

Abstract

İzokinetik testler, sporcuların atletik performansını mekanik yönleriyle ortaya koyar. Ancak mekanik terimlerin anlamı spor bilimciler tarafından net bir şekilde bilinmemektedir. Bu sebeple testten elde edilen mekanik çıktıların atletik performanstaki karşılığı da anlaşılamamaktadır. Kuvvet, tork, yapılan iş ya da üretilen güç gibi terimler birbiriyle bağlantılıdır; fakat birbirinden farklı atletik performans özelliklerini ifade eder. Bu terimlerin anlamı ve performanstaki yansımalarının bilinmemesi sporcuların performansının yanlış değerlendirilmesine sebep olmaktadır. Ayrıca terimlerin yanlış kullanılması biyomekanik ve spor bilimleri camiası arasında bir iletişim engeli oluşturmaktadır. Bu sebeple bu çalışmada izokinetik testlerde kullanılan temel mekanik parametrelerin hem ölçüm hem de matematiksel hesaplama yöntemleri ile elde edilmeleri amaçlanmıştır. Ayrıca bu parametrelerin atletik performans açısından kullanımları değerlendirilmiştir. Bu çalışmada bir sprinterden pilot ölçüm alınmıştır. İzokinetik test baskın bacakta ve oturur pozisyonda diz ekleminde 60-120-240 der/s hızlarda uygulanmıştır. İzokinetik test ile eklem torkunun zamana, açıya ve hıza bağlı değişim grafikleri elde edilmiş ve bu veriler kullanılarak eklemin hareket boyunca yaptığı iş, ürettiği güç ve tepe torka ulaştığı açı değerleri hesaplanmıştır. Ayrıca birbirinden farklı birçok izokinetik test çıktısının beraber yorumlanarak performansın nasıl değerlendirileceği vurgulanmıştır. Patlayıcı kuvvet, çabukluk ve çabuk kuvvette devamlılık gibi atletik performans ölçümleri ile izokinetik test sonuçları arasındaki korelasyon ve anlamlı ilişkiler farklı spor disiplinleri içerisinde örneklendirilmiştir.

References

  • Aagaard, P., Simonsen, E. B., Magnusson, S. P., Larsson, B., & Dyhre-Poulsen, P. (1998). A new concept for isokinetic hamstring: quadriceps muscle strength ratio. The American Journal of Sports Medicine, 26(2), 231-237.
  • Amaral, G. M., Marinho, H. V., Ocarino, J. M., Silva, P. L., Souza, T. R. D., & Fonseca, S. T. (2014). Muscular performance characterization in athletes: a new perspective on isokinetic variables. Brazilian Journal of Physical Therapy, 18, 521-529.
  • Baltzopoulos, V., & Brodie, D. (1989). Isokinetic dynamometry: applications and limitations. Sports Medicine, 8, 101-116.
  • Blazevich, A. J., & Jenkins, D. G. (2002). Effect of the movement speed of resistance training exercises on sprint and strength performance in concurrently training elite junior sprinters. Journal of Sports Sciences, 20(12), 981-990.
  • Bračič, M., Hadžič, V., Čoh, M., & Derviševič, E. (2011). Relationship between time to peak torque of hamstrings and sprint running performance. Isokinetics and Exercise Science, 19(4), 281-286.
  • Brown, L. E. (2000). Isokinetics in human performance. Human Kinetics: Champaign
  • Bulat, M., Can, N. K., Arslan, Y. Z., & Herzog, W. (2019). Musculoskeletal simulation tools for understanding mechanisms of lower-limb sports injuries. Current Sports Medicine Reports, 18(6), 210-216.
  • Burdett, R. G., & van Swearingen, J. (1987). Reliability of isokinetic muscle endurance tests. Journal of Orthopaedic & Sports Physical Therapy, 8(10), 484-488.
  • Cepedal, M. Q., Suárez, B. M., Sánchez, M. M., Fernández, H. O., & del Valle Soto, M. (2023). Isokinetic thigh muscles strength in semi-professional athletics:: A one season prospective cohort study. Apunts: Medicina De L'esport, 58(220), 1-7.
  • Charteris, J. (1999). Effects of velocity on upper to lower extremity muscular work and power output ratios of intercollegiate athletes. British Journal of Sports Medicine, 33(4), 250-254.
  • Clark, N. C., Heebner, N. R., Lephart, S. M., & Sell, T. C. (2022). Specificity of isokinetic assessment in noncontact knee injury prevention screening: A novel assessment procedure with relationships between variables in amateur adult agility-sport athletes. Physical Therapy in Sport, 53, 105-114.
  • Coburn, J. W., Housh, T. J., Malek, M. H., Weir, J. P., Cramer, J. T., Beck, T. W., & Johnson, G. O. (2006). Neuromuscular responses to three days of velocity-specific isokinetic training. The Journal of Strength & Conditioning Research, 20(4), 892-898.
  • Cometti, G., Maffiuletti, N., Pousson, M., Chatard, J.-C., & Maffulli, N. (2001). Isokinetic strength and anaerobic power of elite, subelite and amateur French soccer players. International Journal of Sports Medicine, 22(01), 45-51.
  • Dauty, M., Potiron-Josse, M., & Rochcongar, P. (2003). Identification of previous hamstring muscle injury by isokinetic concentric and eccentric torque measurement in elite soccer player. Isokinetics and Exercise Science, 11(3), 139-144.
  • Dauty, M., Menu, P., & Fouasson-Chailloux, A. (2020, Jan). Hamstring Muscle Injury Prediction by Isokinetic Ratios Depends on the Method Used. Clin J Sport Med, 30(1), 40-45.
  • Dowson, M., Nevill, M. E., Lakomy, H., Nevill, A. M., & Hazeldine, R. (1998). Modelling the relationship between isokinetic muscle strength and sprint running performance. Journal of Sports Sciences, 16(3), 257-265.
  • Ghena, D., Mayhew, J., Kurth, A., & Thompson, C. B. (1991). Prediction of isokinetic leg strength from anthropometric dimensions in male college athletes. Isokinetics and Exercise Science, 1(4), 187-192.
  • Gillen, Z. M., Shoemaker, M. E., McKay, B. D., Bohannon, N. A., Gibson, S. M., & Cramer, J. T. (2020). Leg extension strength, explosive strength, muscle activation, and growth as predictors of vertical jump performance in youth athletes. Journal of Science in Sport and Exercise, 2, 336-348.
  • Greig, M., & Naylor, J. (2017). The efficacy of angle-matched isokinetic knee flexor and extensor strength parameters in predicting agility test performance. International Journal of Sports Physical Therapy, 12(5), 728.
  • Grygorowicz, M., Kubacki, J., Pilis, W., Gieremek, K., & Rzepka, R. (2010). Selected isokinetic tests in knee injury prevention. Biology of Sport, 27(1).
  • Jones, P. A., & Bampouras, T. M. (2010). A comparison of isokinetic and functional methods of assessing bilateral strength imbalance. The Journal of Strength & Conditioning Research, 24(6), 1553-1558.
  • Kabacinski, J., Szozda, P. M., Mackala, K., Murawa, M., Rzepnicka, A., Szewczyk, P., & Dworak, L. B. (2022). Relationship between isokinetic knee strength and speed, agility, and explosive power in elite soccer players. International Journal of Environmental Research and Public Health, 19(2), 671.
  • Kannus, P. (1994). Isokinetic evaluation of muscular performance. International Journal of Sports Medicine, 15(S 1), S11-S18.
  • Kocahan, T., & Akınoğlu, B. (2018). Determination of the relationship between core endurance and isokinetic muscle strength of elite athletes. Journal of Exercise Rehabilitation, 14(3), 413.
  • Loturco, I., Pereira, L. A., Freitas, T. T., Bishop, C., Pareja-Blanco, F., & McGuigan, M. R. (2021). Maximum strength, relative strength, and strength deficit: relationships with performance and differences between elite sprinters and professional rugby union players. International Journal of Sports Physiology and Performance, 16(8), 1148-1153.
  • Maciel, D. G., Dantas, G. A. F., Cerqueira, M. S., Barboza, J. A. M., Caldas, V. V. D. A., de Barros, A. C. M., Varela, R. R., Magalhães, D. H., & de Brito Vieira, W. H. (2023). Peak torque angle, acceleration time and time to peak torque as additional parameters extracted from isokinetic test in professional soccer players: a cross-sectional study. Sports Biomechanics, 22(9), 1108-1119.
  • Maeda, M., Shamoto, E., Moriwaki, T., & Nomura, H. (1999). Measurement of applied force and deflection in the javelin throw. Journal of applied biomechanics, 15(4), 429-442.
  • Manca, A., Solinas, G., Dragone, D., & Deriu, F. (2015). Isokinetic testing of muscle performance: new concepts for strength assessment. Isokinetics and Exercise Science, 23(2), 69-75.
  • McLeland, K. A., Ruas, C. V., Arevalo, J. A., Bagley, J. R., Ciccone, A. B., Brown, L. E., Coburn, J. W., Galpin, A. J., & Malyszek, K. K. (2016). Comparison of knee extension concentric fatigue between repetition ranges. Isokinetics and Exercise Science, 24(1), 33-38.
  • Misjuk, M., Rannama, I., & Niglas, E. (2013). Relationship between lower limb isokinetic strength and 60m sprint running time. Lase J Sport Sci, 4(2), 159-167.
  • Ratamess, N. A., Beller, N. A., Gonzalez, A. M., Spatz, G. E., Hoffman, J. R., Ross, R. E., Faigenbaum, A. D., & Kang, J. (2016). The effects of multiple-joint isokinetic resistance training on maximal isokinetic and dynamic muscle strength and local muscular endurance. Journal of Sports Science & Medicine, 15(1), 34.
  • Remaud, A., Cornu, C., & Guével, A. (2009). Agonist muscle activity and antagonist muscle co-activity levels during standardized isotonic and isokinetic knee extensions. Journal of Electromyography and Kinesiology, 19(3), 449-458.
  • Rouis, M., Coudrat, L., Jaafar, H., Filliard, J., Vandewalle, H., Barthelemy, Y., & Driss, T. (2015). Assessment of isokinetic knee strength in elite young female basketball players: correlation with vertical jump. J Sports Med Phys Fitness, 55(12), 1502-1508.
  • Simpson, D., Ehrensberger, M., Nulty, C., Regan, J., Broderick, P., Blake, C., & Monaghan, K. (2019). Peak torque, rate of torque development and average torque of isometric ankle and elbow contractions show excellent test–retest reliability. Hong Kong Physiotherapy Journal, 39(01), 67-76.
  • Soslu, R., Özkan, A., & Göktepe, M. (2016). The Relationship Between Anaerobic Performances, Muscle Strength, Hamstring/Quadriceps Ratio, Agility, Sprint Ability And Vertical Jump In Professional Basketball Players1. Beden Eğitimi ve Spor Bilimleri Dergisi, 10(2), 164-173.
  • Tatlıcıoğlu, E., Atalağ, O., Kurt, C., & Acar, M. F. (2020). Investigation of the Relationships between Isokinetic Leg Strength, Sprint and Agility Performance in Collegiate American Football Players. Spor Hekimligi Dergisi/Turkish Journal of Sports Medicine, 55(3).
  • Taylor, N. A., Cotter, J. D., Stanley, S. N., & Marshall, R. N. (1991). Functional torque-velocity and power-velocity characteristics of elite athletes. European Journal of Applied Physiology and Occupational Physiology, 62, 116-121.
  • Tourny-Chollet, C., Leroy, D., Léger, H., & Beuret-Blanquart, F. (2000). Isokinetic knee muscle strength of soccer players according to their position. Isokinetics and Exercise Science, 8(4), 187-194.
  • Vrabas, I. S., Christoulas, K., Kesidis, N., & Mandroukas, K. (1998). Isokinetic strength and joint mobility ίη bodybuilders and Olympic weightlifters. Medical Science Research, 26, 669-671.
  • Yapıcı, A., Maden, B., & Fındıkoğlu, G. (2016). The effect of a 6-week land and resistance training of 13-16 years old swimmers groups to lower limb isokinetic strength values and to swimming performance 13-16 yaş grubu yüzücülerde 6 haftalık kara ve direnç antrenmanlarının alt ekstremite izokinetik kuvvet performansına ve yüzme derecelerine etkisi. Journal of Human Sciences, 13(3), 5269-5281.
  • Yilmaz, H. H., Seren, K., & Atasever, G. (2023). The relationship between isokinetic strength and anaerobic performance in elite youth football players. Journal of ROL Sport Sciences, 4(2), 457-468.

Relating Mechanical Terms to Athletic Performance in Isokinetic Testing: A Guide for Sports Scientists

Year 2024, Volume: 8 Issue: 2, 49 - 61, 30.08.2024
https://doi.org/10.55238/seder.1403739

Abstract

Isokinetic tests reveal the mechanical aspects of athletes’ athletic performance. However, the meaning of mechanical terms is not clearly known by sports scientists. Therefore, the mechanical outputs obtained from the test are also not understood in terms of athletic performance. Terms like force, torque, work done, or power produced are associated with each other, however, they indicate different athletic performance characteristics. Lack of knowledge in the meaning of these terms and their reflections on performance leads to a misinterpretation of athletes’ performance. Moreover, the misuse of terms creates a communication barrier between the biomechanics and sports science community. Therefore, this study aims to obtain the basic mechanical parameters used in isokinetic tests both through measurement and mathematical calculation methods. Additionally, the use of these parameters in terms of athletic performance has been evaluated. In this study, a pilot measurement was taken from a sprinter. The isokinetic test was applied to the dominant leg in a seated position at the knee joint at speeds of 60-120-240 deg/sec. Performing the isokinetic test, graphs showing the time-dependent, angle-dependent, and speed-dependent changes in joint torque were obtained, and using this data, the work done by the joint throughout its movement, the power produced, and the angle values at which peak torque was reached were calculated. Furthermore, it has been emphasized how performance can be evaluated by interpreting various isokinetic test outputs combinedly. Correlations and significant relationships between athletic performance measurements such as explosive strength, agility, and endurance strength with isokinetic test results have been exemplified within different sports disciplines.

References

  • Aagaard, P., Simonsen, E. B., Magnusson, S. P., Larsson, B., & Dyhre-Poulsen, P. (1998). A new concept for isokinetic hamstring: quadriceps muscle strength ratio. The American Journal of Sports Medicine, 26(2), 231-237.
  • Amaral, G. M., Marinho, H. V., Ocarino, J. M., Silva, P. L., Souza, T. R. D., & Fonseca, S. T. (2014). Muscular performance characterization in athletes: a new perspective on isokinetic variables. Brazilian Journal of Physical Therapy, 18, 521-529.
  • Baltzopoulos, V., & Brodie, D. (1989). Isokinetic dynamometry: applications and limitations. Sports Medicine, 8, 101-116.
  • Blazevich, A. J., & Jenkins, D. G. (2002). Effect of the movement speed of resistance training exercises on sprint and strength performance in concurrently training elite junior sprinters. Journal of Sports Sciences, 20(12), 981-990.
  • Bračič, M., Hadžič, V., Čoh, M., & Derviševič, E. (2011). Relationship between time to peak torque of hamstrings and sprint running performance. Isokinetics and Exercise Science, 19(4), 281-286.
  • Brown, L. E. (2000). Isokinetics in human performance. Human Kinetics: Champaign
  • Bulat, M., Can, N. K., Arslan, Y. Z., & Herzog, W. (2019). Musculoskeletal simulation tools for understanding mechanisms of lower-limb sports injuries. Current Sports Medicine Reports, 18(6), 210-216.
  • Burdett, R. G., & van Swearingen, J. (1987). Reliability of isokinetic muscle endurance tests. Journal of Orthopaedic & Sports Physical Therapy, 8(10), 484-488.
  • Cepedal, M. Q., Suárez, B. M., Sánchez, M. M., Fernández, H. O., & del Valle Soto, M. (2023). Isokinetic thigh muscles strength in semi-professional athletics:: A one season prospective cohort study. Apunts: Medicina De L'esport, 58(220), 1-7.
  • Charteris, J. (1999). Effects of velocity on upper to lower extremity muscular work and power output ratios of intercollegiate athletes. British Journal of Sports Medicine, 33(4), 250-254.
  • Clark, N. C., Heebner, N. R., Lephart, S. M., & Sell, T. C. (2022). Specificity of isokinetic assessment in noncontact knee injury prevention screening: A novel assessment procedure with relationships between variables in amateur adult agility-sport athletes. Physical Therapy in Sport, 53, 105-114.
  • Coburn, J. W., Housh, T. J., Malek, M. H., Weir, J. P., Cramer, J. T., Beck, T. W., & Johnson, G. O. (2006). Neuromuscular responses to three days of velocity-specific isokinetic training. The Journal of Strength & Conditioning Research, 20(4), 892-898.
  • Cometti, G., Maffiuletti, N., Pousson, M., Chatard, J.-C., & Maffulli, N. (2001). Isokinetic strength and anaerobic power of elite, subelite and amateur French soccer players. International Journal of Sports Medicine, 22(01), 45-51.
  • Dauty, M., Potiron-Josse, M., & Rochcongar, P. (2003). Identification of previous hamstring muscle injury by isokinetic concentric and eccentric torque measurement in elite soccer player. Isokinetics and Exercise Science, 11(3), 139-144.
  • Dauty, M., Menu, P., & Fouasson-Chailloux, A. (2020, Jan). Hamstring Muscle Injury Prediction by Isokinetic Ratios Depends on the Method Used. Clin J Sport Med, 30(1), 40-45.
  • Dowson, M., Nevill, M. E., Lakomy, H., Nevill, A. M., & Hazeldine, R. (1998). Modelling the relationship between isokinetic muscle strength and sprint running performance. Journal of Sports Sciences, 16(3), 257-265.
  • Ghena, D., Mayhew, J., Kurth, A., & Thompson, C. B. (1991). Prediction of isokinetic leg strength from anthropometric dimensions in male college athletes. Isokinetics and Exercise Science, 1(4), 187-192.
  • Gillen, Z. M., Shoemaker, M. E., McKay, B. D., Bohannon, N. A., Gibson, S. M., & Cramer, J. T. (2020). Leg extension strength, explosive strength, muscle activation, and growth as predictors of vertical jump performance in youth athletes. Journal of Science in Sport and Exercise, 2, 336-348.
  • Greig, M., & Naylor, J. (2017). The efficacy of angle-matched isokinetic knee flexor and extensor strength parameters in predicting agility test performance. International Journal of Sports Physical Therapy, 12(5), 728.
  • Grygorowicz, M., Kubacki, J., Pilis, W., Gieremek, K., & Rzepka, R. (2010). Selected isokinetic tests in knee injury prevention. Biology of Sport, 27(1).
  • Jones, P. A., & Bampouras, T. M. (2010). A comparison of isokinetic and functional methods of assessing bilateral strength imbalance. The Journal of Strength & Conditioning Research, 24(6), 1553-1558.
  • Kabacinski, J., Szozda, P. M., Mackala, K., Murawa, M., Rzepnicka, A., Szewczyk, P., & Dworak, L. B. (2022). Relationship between isokinetic knee strength and speed, agility, and explosive power in elite soccer players. International Journal of Environmental Research and Public Health, 19(2), 671.
  • Kannus, P. (1994). Isokinetic evaluation of muscular performance. International Journal of Sports Medicine, 15(S 1), S11-S18.
  • Kocahan, T., & Akınoğlu, B. (2018). Determination of the relationship between core endurance and isokinetic muscle strength of elite athletes. Journal of Exercise Rehabilitation, 14(3), 413.
  • Loturco, I., Pereira, L. A., Freitas, T. T., Bishop, C., Pareja-Blanco, F., & McGuigan, M. R. (2021). Maximum strength, relative strength, and strength deficit: relationships with performance and differences between elite sprinters and professional rugby union players. International Journal of Sports Physiology and Performance, 16(8), 1148-1153.
  • Maciel, D. G., Dantas, G. A. F., Cerqueira, M. S., Barboza, J. A. M., Caldas, V. V. D. A., de Barros, A. C. M., Varela, R. R., Magalhães, D. H., & de Brito Vieira, W. H. (2023). Peak torque angle, acceleration time and time to peak torque as additional parameters extracted from isokinetic test in professional soccer players: a cross-sectional study. Sports Biomechanics, 22(9), 1108-1119.
  • Maeda, M., Shamoto, E., Moriwaki, T., & Nomura, H. (1999). Measurement of applied force and deflection in the javelin throw. Journal of applied biomechanics, 15(4), 429-442.
  • Manca, A., Solinas, G., Dragone, D., & Deriu, F. (2015). Isokinetic testing of muscle performance: new concepts for strength assessment. Isokinetics and Exercise Science, 23(2), 69-75.
  • McLeland, K. A., Ruas, C. V., Arevalo, J. A., Bagley, J. R., Ciccone, A. B., Brown, L. E., Coburn, J. W., Galpin, A. J., & Malyszek, K. K. (2016). Comparison of knee extension concentric fatigue between repetition ranges. Isokinetics and Exercise Science, 24(1), 33-38.
  • Misjuk, M., Rannama, I., & Niglas, E. (2013). Relationship between lower limb isokinetic strength and 60m sprint running time. Lase J Sport Sci, 4(2), 159-167.
  • Ratamess, N. A., Beller, N. A., Gonzalez, A. M., Spatz, G. E., Hoffman, J. R., Ross, R. E., Faigenbaum, A. D., & Kang, J. (2016). The effects of multiple-joint isokinetic resistance training on maximal isokinetic and dynamic muscle strength and local muscular endurance. Journal of Sports Science & Medicine, 15(1), 34.
  • Remaud, A., Cornu, C., & Guével, A. (2009). Agonist muscle activity and antagonist muscle co-activity levels during standardized isotonic and isokinetic knee extensions. Journal of Electromyography and Kinesiology, 19(3), 449-458.
  • Rouis, M., Coudrat, L., Jaafar, H., Filliard, J., Vandewalle, H., Barthelemy, Y., & Driss, T. (2015). Assessment of isokinetic knee strength in elite young female basketball players: correlation with vertical jump. J Sports Med Phys Fitness, 55(12), 1502-1508.
  • Simpson, D., Ehrensberger, M., Nulty, C., Regan, J., Broderick, P., Blake, C., & Monaghan, K. (2019). Peak torque, rate of torque development and average torque of isometric ankle and elbow contractions show excellent test–retest reliability. Hong Kong Physiotherapy Journal, 39(01), 67-76.
  • Soslu, R., Özkan, A., & Göktepe, M. (2016). The Relationship Between Anaerobic Performances, Muscle Strength, Hamstring/Quadriceps Ratio, Agility, Sprint Ability And Vertical Jump In Professional Basketball Players1. Beden Eğitimi ve Spor Bilimleri Dergisi, 10(2), 164-173.
  • Tatlıcıoğlu, E., Atalağ, O., Kurt, C., & Acar, M. F. (2020). Investigation of the Relationships between Isokinetic Leg Strength, Sprint and Agility Performance in Collegiate American Football Players. Spor Hekimligi Dergisi/Turkish Journal of Sports Medicine, 55(3).
  • Taylor, N. A., Cotter, J. D., Stanley, S. N., & Marshall, R. N. (1991). Functional torque-velocity and power-velocity characteristics of elite athletes. European Journal of Applied Physiology and Occupational Physiology, 62, 116-121.
  • Tourny-Chollet, C., Leroy, D., Léger, H., & Beuret-Blanquart, F. (2000). Isokinetic knee muscle strength of soccer players according to their position. Isokinetics and Exercise Science, 8(4), 187-194.
  • Vrabas, I. S., Christoulas, K., Kesidis, N., & Mandroukas, K. (1998). Isokinetic strength and joint mobility ίη bodybuilders and Olympic weightlifters. Medical Science Research, 26, 669-671.
  • Yapıcı, A., Maden, B., & Fındıkoğlu, G. (2016). The effect of a 6-week land and resistance training of 13-16 years old swimmers groups to lower limb isokinetic strength values and to swimming performance 13-16 yaş grubu yüzücülerde 6 haftalık kara ve direnç antrenmanlarının alt ekstremite izokinetik kuvvet performansına ve yüzme derecelerine etkisi. Journal of Human Sciences, 13(3), 5269-5281.
  • Yilmaz, H. H., Seren, K., & Atasever, G. (2023). The relationship between isokinetic strength and anaerobic performance in elite youth football players. Journal of ROL Sport Sciences, 4(2), 457-468.
There are 41 citations in total.

Details

Primary Language Turkish
Subjects Sports Training, Biomechanics in Sports Science
Journal Section Article
Authors

Doğa Kural 0000-0003-3501-0391

Yunus Ziya Arslan 0000-0002-1861-9368

Early Pub Date June 11, 2024
Publication Date August 30, 2024
Submission Date December 12, 2023
Acceptance Date June 10, 2024
Published in Issue Year 2024 Volume: 8 Issue: 2

Cite

APA Kural, D., & Arslan, Y. Z. (2024). İzokinetik Testlerde Mekanik Terimlerin Atletik Performansla İlişkilendirilmesi: Spor Bilimciler İçin Bir Rehber. Spor Eğitim Dergisi, 8(2), 49-61. https://doi.org/10.55238/seder.1403739

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