前言：對於跑者而言，找到長時間維持穩定心率、配速和最佳跑步速度是對提高跑步效率和品質的關鍵因素。目的:本研究旨在探討跑者在戶外速度漸增負荷測試之下，生理指標、跑步生物力學參數與速度之間的關聯。方法：招募15名跑團之市民跑者，進行戶外速度漸增負荷速測試。在跑者身上配戴心率帶及胸椎、薦椎以及雙腳脛骨黏貼慣性感測器，分別測量軀幹旋轉角速度、軀幹垂直加速度、步頻以及雙腳脛骨加速度峰值、觸地時間與騰空時間等生理學指標與運動學參數。進一步分析RPE量表7對應的速度，且使用最大距離法 (Dmax) 得到生理指標 (心率) 與各運動學參數的轉折點速度，最後以皮爾森積差相關進行統計分析，觀察無氧閾值速度與各項跑步生物力學參數的相關性。結果：各項跑步生物力學參數與(心率)無氧閾值未達顯著相關，但VTRAV-DP、VCAD-DP、VCT-DP (standardization) 與VCAD-DP (standardization) 與 (RPE) 無氧閾值速度呈現中-高度相關(r=.55-.79)。結論:在跑者的部分跑步生物力學參數轉折點速度與無氧閾值速度顯著相關之下，未來可以進一步推估預測無氧閾值速度方程式，以建立預測無氧閾值速度測量的新里程碑。

Background: For runners, finding ways to maintain a steady heart rate, pace and optimal running speed over a long period of time is a key factor in improving running efficiency and quality. Purpose: The purpose of this study was to investigate the relationship between physiological parameters, running biomechanical parameters and speed of runners under outdoor speed incremental load test. Method: Fifteen recreational runners were recruited and tested by outdoor speed increasing load speed test. The runners were fitted with heart rate bands and inertia sensors for thoracic vertebrae, sacral vertebrae and tibia adhesion of both feet to measure physiological and kinematic parameters such as trunk rotation angular speed, trunk vertical acceleration, stride frequency, peak of tibia acceleration of both feet, touch time and air time, respectively. The speed corresponding to RPE scale 7 was further analyzed, and the turning point speed of physiological index (heart rate) and kinematic parameters was obtained by using maximum distance method (Dmax). Finally, the correlation between anaerobic threshold speed and various running biomechanical parameters was statistically analyzed by using Pearson product difference correlation. Result: There was no significant correlation between biomechanical parameters of running and anaerobic threshold. However, VTRA-DP, VCAD-DP, VCT-DP (standardization), VCAD-DP (standardization) and (RPE 7) anaerobic threshold speed show a medium to high correlation (r=.55-.79). Conclusion: Since the turning point speed of some running biomechanical parameters of runners is significantly correlated with anaerobic threshold speed, the anaerobic threshold speed equation can be further estimated in the future to establish a new milestone in predicting anaerobic threshold speed measurement.

Afroundeh, R., Hofmann, P., Esmaeilzadeh, S., Narimani, M., & Pesola, A. (2021). Agreement between heart rate deflection point and maximal lactate steady state in young adults with different body masses. Physiology International,108 (1) , 137-150.

Aunola, S., & Rusko, H. (1984). Reproducibility of aerobic and anaerobic thresholds in 20–50 year old men. European Journal of Applied Physiology and Occupational Physiology, 53(3), 260-266.

Beckers, P. J., Possemiers, N. M., Van Craenenbroeck, E. M., Van Berendoncks, A. M., Wuyts, K., Vrints, C. J., & Conraads, V. M. (2012). Comparison of three methods to identify the anaerobic threshold during maximal exercise testing in patients with chronic heart failure. American Journal of Physical Medicine&Rehabilitation, 91(2), 148-155.

Beck, O. N. A., Eric N, Grabowski, Alena M. (2018). Step time asymmetry increases metabolic energy expenditure during running. European Journal of Applied Physiology, 118(10), 2147-2154.

Billat, V. L., Demarle, A., Slawinski, J., Paiva, M., & Koralsztein, J. P. (2001). Physical and training characteristics of top-class marathon runners. Medicine & Science in Sports & Exercise, 33, 2089-2097.

Borg, G. (1985). An introduction to Borg's RPE-scale. Mouvement Publications.

Borg, G., Ljunggren, G., & Ceci, R. (1985). The increase of perceived exertion, aches and pain in the legs, heart rate and blood lactate during exercise on a bicycle ergometer. European Journal of Applied Physiology and Occupational Physiology, 54, 343-349.

Bunc, V., Hofmann, P., Leitner, H., & Gaisl, G. (1995). Verification of the heart rate threshold. European Journal of Applied Physiology and Occupational Physiology, 70(3), 263-269.

Penna, E. M., Filho, E., Campos, B. T., Ferreira, R. M., Parma, J. O., Lage, G. M., ... & Prado, L. S. (2021). No effects of mental fatigue and cerebral stimulation on physical performance of master swimmers. Frontiers in Psychology, 12, 656499.
Cheng, B., Kuipers, H., Snyder, A. C., Keizer, H. A., Jeukendrup, A., & Hesselink, M. (1992).
A new approach for the determination of ventilatory and lactate thresholds. International Journal of Sports Medicine, 13(07), 518-522.

Conconi, F., Ferrari, M., Ziglio, P. G., Droghetti, P., & Codeca, L. (1982). Determination of the anaerobic threshold by a noninvasive field test in runners. Journal of Applied Physiology, 52(4), 869-873.

Crescêncio, J. C., Martins, L. E. B., Murta, L. O., Antloga, C. M., Kozuki, R. T., Santos, M. D. B., ... & Gallo, L. (2003, September). Measurement of anaerobic threshold during dynamic exercise in healthy subjects: Comparison among visual analysis and mathematical models. Computers in Cardiology, 2003 (pp. 801-804). IEEE.

Da Rosa, R. G., Oliveira, H. B., Gomeñuka, N. A., Masiero, M. P. B., Da Silva, E. S., Zanardi, A. P. J., .Peyré-Tartaruga, L. A. (2019). Landing-takeoff asymmetries applied to running mechanics: a new perspective for performance. Frontiers in Physiology, 10, 415.

Da Silva, D., Peserico, C., & Machado, F. (2014). Relationship between heart rate deflection point determined by Dmax method and 10-km running performance in endurance recreationally-trained female runners. The Journal of Sports Medicine Physical Fitness, 55(10) , 1064-1071.

de Aguiar, R. A., Turnes, T., de Oliveira Cruz, R. S., & Caputo, F. (2012). VO2 responses to running speeds above intermittent critical speed. International Journal of Sports Medicine, 33(11), 892-897

de Lucas, R. D. D., Naiandra Junior, Rubens B de Souza, Kristopher M Guglielmo, Luiz Guilherme A. (2012). Is the critical running speed related to the intermittent maximal lactate steady state? Journal of Sports Science Medicine, 11(1) , 89.

Faude, O. K., Wilfried Meyer, Tim. (2009). Lactate threshold concepts. Sports Medicine, 39 (6) , 469-490.

Fell, J. W. (2008). The modified D-max is a valid lactate threshold measurement in veteran cyclists. Journal of Science and Medicine in Sport, 11(5) , 460-463.

Fida, B., Bibbo, D., Bernabucci, I., Proto, A., Conforto, S., & Schmid, M. (2015). Real time event-based segmentation to classify locomotion activities through a single inertial sensor. Paper presented at the Proceedings of the 5th EAI International Conference on Wireless Mobile Communication and Healthcare.

Fisher, D., Louw, Q., Cockcroft, J., & Tawa, N. (2018). Three-dimensional kinematics of the thorax during over-ground running. Journal of Bodywork and Movement Therapies, 22(2) , 300-307.

Folland, J. P. A., Sam J Black, Matthew I Handsaker, Joseph C Forrester, Stephanie E. (2017). Running technique is an important component of running economy and performance. Medicine Science in Sports and Exercise, 49(7) , 1412.

Fontecchio, T., & Savilonis, B. (2012). Gait analysis and spinal rotation. Paper presented at the 2012 38th Annual Northeast Bioengineering Conference (NEBEC) .

Foster, C., & Lucia, A. (2007). Running economy. Sports Medicine, 37(4), 316-319.

Gouwanda, D., & Senanayake, S. A. (2011). Identifying gait asymmetry using gyroscopes—A cross-correlation and Normalized Symmetry Index approach. Journal of Biomechanics, 44(5), 972-978.

Ghosh, A. K. (2004). Anaerobic threshold: its concept and role in endurance sport. The Malaysian Journal of Medical Sciences, 11(1) , 24.

Hierholzer, K. M. (2020). The Effects of Increasing Running Speed on vGRF and Asymmetry. East Tennessee State University,

Hill, D., Ferguson, CS. (1999). A physiological description of critical velocity. European Journal of Applied Physiology Occupational Physiology, 79(3) , 290-293.

Higa, M. N., Silva, E., Neves, V. F. C., Catai, A. M., Gallo Jr, L., & Silva de Sá, M. F. (2007). Comparison of anaerobic threshold determined by visual and mathematical methods in healthy women. Brazilian Journal of Medical and Biological Research, 40, 501-508.

Hordyk, K. C., & Hsieh, C. (2020). The Effect Of Trunk Rotation On Lower Limb Kinematics During Running–Preliminary Study. ISBS Proceedings Archive, 38(1), 212.

Hollmann, W. (2001). 42 years ago—development of the concepts of ventilatory and lactate threshold. Sports Medicine, 31(5) , 315-320.

Jones, A. M., Kirby, B. S., Clark, I. E., Rice, H. M., Fulkerson, E., Wylie, L. J., Wilkins, B. W. (2021). Physiological demands of running at 2-hour marathon race pace. Journal of Applied Physiology, 130(2) , 369-379.

Kaneko, M., Matsumoto, M., Ito, A., & Fuchimoto, T. (1987). Optimum step frequency in constant speed running. Biomechanics XB, 6, 803-807.

Kyröläinen , H., Komi, P. V., & Belli, A. (1999). Changes in muscle activity patterns and kinetics with increasing running speed. The Journal of Strength & Conditioning Research, 13(4), 400-406.

Levett, D. Z. H., Jack, S., Swart, M., Carlisle, J., Wilson, J., Snowden, C., ... & Grocott, M. P. W. (2018). Perioperative cardiopulmonary exercise testing (CPET): consensus clinical guidelines on indications, organization, conduct, and physiological interpretation. British Journal of Anaesthesia, 120(3), 484-500.

Li, S. N., Peeling, P., Hansen, C., Van Alsenoy, K., Ryu, J. H., & Girard, O. (2021). Detecting mechanical breakpoints during treadmill-based graded exercise test: Relationships to ventilatory thresholds. European Journal of Sport Science, 1-10

Luhtanen, P., Rahkila, P., Rusko, H., & Viitasalo, J. T. (1990). Mechanical work and efficiency in treadmill running at aerobic and anaerobic thresholds. Acta Physiologica Scandinavica, 139(1‐2), 153-159.

Maffulli, N., Capasso, G., & Lancia, A. (1991). Anaerobic threshold and performance in middle and long distance running. The Journal of Sports Medicine And Physical Fitness, 31, 332-338.

McLellan, T. M., & Cheung, K. S. (1992). A comparative evaluation of the individual anaerobic threshold and the critical power. Medicine and Science in Sports and Exercise, 24(5), 543-550.

Noble, B. J., Borg, G. A., Jacobs, I. R. A., Ceci, R., & Kaiser, P. (1983). A category-ratio perceived exertion scale: relationship to blood and muscle lactates and heart rate. Medicine and Science in Sports and Exercise, 15(6), 523-528.

Nummela, A., Keränen, T., & Mikkelsson, L. O. (2007). Factors related to top running speed and economy. International Journal of Sports Medicine, 28(08), 655-661.

Okano, A. H., Altimari, L. R., Simões, H. G., Moraes, A. C. D., Nakamura, F. Y., Cyrino, E. S., & Burini, R. C. (2006). Comparison between anaerobic threshold determined by ventilatory variables and blood lactate response in cyclists. Revista Brasileira de Medicina do Esporte, 12, 39-44.

Peserico, C. S., da Silva, D. F., & Machado, F. A. (2014). Heart rate deflection point determined by Dmax method is reliable in recreationally-trained runners. Arch Med Deporte, 33 (3) (168-174) .

Pennington, C., & Kinesiology, M. S. (2015). The exercise effect on the anaerobic threshold in response to graded exercise. International Journal of Health Sciences, 3(1), 225-234.

Pohl, M. B., Mullineaux, D. R., Milner, C. E., Hamill, J., & Davis, I. S. (2008). Biomechanical predictors of retrospective tibial stress fractures in runners. Journal of Biomechanics, 41 (6) , 1160-1165.

Poole, D. C. R., Harry B Brooks, George A Gladden, L Bruce. (2021). The anaerobic threshold: 50+ years of controversy. The Journal of Physiology, 599 (3) , 737-767.

Perpiñá-Martínez, S., Arguisuelas-Martínez, M. D., Pérez-Domínguez, B., Nacher-Moltó, I., & Martínez-Gramage, J. (2023). Differences between Sexes and Speed Levels in Pelvic 3D Kinematic Patterns during Running Using an Inertial Measurement Unit (IMU). International Journal of Environmental Research and Public Health, 20(4), 3631.

Ramos-Campo, D. J., Rubio-Arias, J. A., Ávila-Gandía, V., Marín-Pagán, C., Luque, A., & Alcaraz, P. E. (2017). Heart rate variability to assess ventilatory thresholds in professional basketball players. Journal of Sport and Health Science, 6(4), 468-473.

Santos-Concejero, J., Granados, C., Irazusta, J., Bidaurrazaga-Letona, I., Zabala-Lili, J., Tam, N., & Gil, S. M. (2013). Differences in ground contact time explain the less efficient running economy in North African runners. Biology of Sport, 30(3), 181.

Sales, M. M., Campbell, C. S. G., Morais, P. K., Ernesto, C., Soares-Caldeira, L. F., Russo, P., ... & Simões, H. G. (2011). Noninvasive method to estimate anaerobic threshold in individuals with type 2 diabetes. Diabetology & Metabolic Syndrome, 3(1), 1-8.

Schallig, W., Veneman, T., Noordhof, D. A., Rodríguez-Marroyo, J. A., Porcari, J. P., De Koning, J. J., & Foster, C. (2018). The role of the rating-of-perceived-exertion template in pacing. International Journal of Sports Physiology and Performance, 13(3), 367-373.

Siahkouhian, M. M., A. (2013). Advanced methodological approach in determination of the heart rate deflection point: S. Dmax versus L. Dmax methods. Sports Med Phys Fitness, 53 (1) , 27-33.

Smyth, B., Muniz-Pumares, Daniel. (2020). Calculation of critical speed from raw training data in recreational marathon runners. Science in Sports Exercise, 52 (12) , 2637.

Tanaka, K., Matsuura, YOSHIYUKI. (1984). Marathon performance, anaerobic threshold, and onset of blood lactate accumulation. Journal of Applied Physiology, 57 (3) , 640-643.

Tenforde, A. S., Hayano, T., Jamison, S. T., Outerleys, J., & Davis, I. S. (2020). Tibial acceleration measured from wearable sensors is associated with loading rates in injured runners. Pm&R, 12(7) , 679-684.

Tikkanen, O., Hu, M., Vilavuo, T., Tolvanen, P., Cheng, S., & Finni, T. (2012). Ventilatory threshold during incremental running can be estimated using EMG shorts. Physiological Measurement, 33(4), 603.

Tokmakidis, S. P., & Leger, L. (1987). External validity of the Conconi's heart rate anaerobic threshold as compared to the lactate threshold. Univ..

Ueda,T.,Hobara,H.,Kobayashi,Y.,Heldoorn,T.Mochimaru,M.,&Mizoguchi,H.(2016). Comparison of 3 methods for computing loading rate during running. International Journal of Sports Medicine, 37(13) , 1087-1090.

Van den Berghe, P., Six, J., Gerlo, J., Leman, M., & De Clercq, D. (2019). Validity and reliability of peak tibial accelerations as real-time measure of impact loading during over-ground rearfoot running at different speeds. Journal of Biomechanics, 86, 238-242.

Vanhoy, R. A. (2012). A comparison of two different treadmill protocols in measuring maximal oxygen consumption in highly trained distance runners (Doctoral dissertation, University of North Carolina at Chapel Hill).

Van Poppel, D., Van Der Worp, M., Slabbekoorn, A., Van Den Heuvel, S. S., Van Middelkoop, M., Koes, B. W., Verhagen, A & Scholten-Peeters, G. G. (2021). Risk factors for overuse injuries in short-and long-distance running: A systematic review. Journal of Sport and Health Science, 10(1), 14-28.

Vitti, A., Nikolaidis, P. T., Villiger, E., Onywera, V., & Knechtle, B. (2020). The “New York City Marathon”: participation and performance trends of 1.2 M runners during half-century. Research in Sports Medicine, 28(1), 121-137.

Wasserman, K., & McIlroy, M. B. (1964). Detecting the threshold of anaerobic metabolism in cardiac patients during exercise. The American Journal of Cardiology, 14 (6) , 844-852.

Wasserman, K. (1999). Measurements during integrative cardiopulmonary exercise test. Principles of exercise testing and interpretation, 62-94.

Zamunér, A. R., Moreno, M. A., Camargo, T. M., Graetz, J. P., Rebelo, A. C., Tamburús, N. Y., & da Silva, E. (2011). Assessment of subjective perceived exertion at the anaerobic threshold with the Borg CR-10 scale. Journal of Sports Science & Medicine, 10(1), 130.