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Sports Medicine

, Volume 37, Issue 7, pp 575–586 | Cite as

Incremental Exercise Test Design and Analysis

Implications for Performance Diagnostics in Endurance Athletes
  • David J. BentleyEmail author
  • John Newell
  • David Bishop
Leading Article

Abstract

Physiological variables, such as maximum work rate or maximal oxygen uptake (V̇O2max), together with other submaximal metabolic inflection points (e.g. the lactate threshold [LT], the onset of blood lactate accumulation and the pulmonary ventilation threshold [VT]), are regularly quantified by sports scientists during an incremental exercise test to exhaustion. These variables have been shown to correlate with endurance performance, have been used to prescribe exercise training loads and are useful to monitor adaptation to training. However, an incremental exercise test can be modified in terms of starting and subsequent work rates, increments and duration of each stage. At the same time, the analysis of the blood lactate/ventilatory response to incremental exercise may vary due to the medium of blood analysed and the treatment (or mathematical modelling) of data following the test to model the metabolic inflection points. Modification of the stage duration during an incremental exercise test may influence the submaximal and maximal physiological variables. In particular, the peak power output is reduced in incremental exercise tests that have stages of longer duration. Furthermore, the VT or LT may also occur at higher absolute exercise work rate in incremental tests comprising shorter stages. These effects may influence the relationship of the variables to endurance performance or potentially influence the sensitivity of these results to endurance training. A difference in maximum work rate with modification of incremental exercise test design may change the validity of using these results for predicting performance, and prescribing or monitoring training. Sports scientists and coaches should consider these factors when conducting incremental exercise testing for the purposes of performance diagnostics.

Keywords

Blood Lactate Endurance Training Work Rate Ventilation Threshold Lactate Threshold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

No sources of funding were used to assist in the preparation of this article. The authors have no conflicts of interest that are directly relevant to the content of this article.

References

  1. 1.
    Hargreaves M, Hawley JA, Feukendmp A. Pre-exercise carbohydrate and fat ingestion: effects on n atabolism and performance. J Sports Sci 2004; 22: 31–8PubMedCrossRefGoogle Scholar
  2. 2.
    Kay D, Marino FE. Fluid ingestion and exercise hyperthernua: implications for performance, lhermoregulation, metabolism and the development of fatigue. J Sports Sci 2000; 18: 71–82PubMedCrossRefGoogle Scholar
  3. 3.
    Coyle EF. Integration of the physiological factors determining endurance performance ability. Exerc Sport Sci Rev 1995; 23: 25–63PubMedCrossRefGoogle Scholar
  4. 4.
    Bassett Jr DR, Howley ET. Limiting factors for maximum oxygen uptake and determinants of endurance performance. Med Sci Sports Exerc 2000; 32: 70–84PubMedGoogle Scholar
  5. 5.
    Hawley JA, Myburgh KH, Noakes TD, et al. Training techniques to improve fatigue resistance and enhance endurance performance. J Sports Sci 1997; 15: 325–33PubMedCrossRefGoogle Scholar
  6. 6.
    Farrell PA, Wilmore JH, Coyle EF, et al. Plasma lactate accumulation and distance running performance. Med Sci Sports 1979; 11: 338–44PubMedGoogle Scholar
  7. 7.
    Zhou S, Robson SJ, King MJ, et al. Correlations between shortcourse triathlon performance and physiological variables determined in laboratory cycle and treadmill tests. J Sports Med Phys Fitness 1997; 37: 122–30PubMedGoogle Scholar
  8. 8.
    Bishop D, Jenkins DG, MacKinnon LT. The relationship between plasma lactate parameters, Wreak and 1-h cycling performance in women. Med Sci Sports Exerc 1998; 30: 1270–5PubMedCrossRefGoogle Scholar
  9. 9.
    Bishop D, Jenkins DG, McENery M, et al. Relationship between plasma lactate parameters and muscle characteristics in female cyclists. Med Sci Sports Exerc 2000; 32: 1088–93PubMedCrossRefGoogle Scholar
  10. 10.
    Bentley DJ, McNaughton LR, Thompson D, et al. Peak power output, the lactate threshold, and time trial performance in cyclists. Med Sci Sports Exerc 2001; 33: 2077–81PubMedCrossRefGoogle Scholar
  11. 11.
    Hopkins SR, McKenzie DC. The laboratory assessment of endurance performance in cyclists. Can J Appl Physiol 1994; 19: 266–74PubMedCrossRefGoogle Scholar
  12. 12.
    Chicharro JL, Hoyos J, Lucia A. Effects of endurance training on the isocapnic buffering and hypocapnic hyperventilation phases in professional cyclists. Br J Sports Med 2000; 34: 450–5PubMedCrossRefGoogle Scholar
  13. 13.
    Ieukendrup AE, Craig NP, Howley JA. The bioenergefics of world class cycling. J Sci Med Sport 2000; 3: 414–33CrossRefGoogle Scholar
  14. 14.
    Lucia A, Hoyos J, Perez M, et al. Heart rate and performance parameters in elite cyclists: a longitudinal study. Med Sci Sports Exerc 2000; 32: 1777–82PubMedCrossRefGoogle Scholar
  15. 15.
    Taylor HL, Haskell W, Fox SM. Maximal oxygen intake as an objective measurement of cardiorespiratory performance. J Appl Physiol 1955; 8: 73–80PubMedGoogle Scholar
  16. 16.
    Bruce RA, Blackman JR, Jones JW. Exercise testing in normal subjects and cardiac patients. Pediatrics 1963; 32: 742–5PubMedGoogle Scholar
  17. 17.
    Costill DL, Thomason H, Roberts E. Fractional utilization of aerobic capacity during distance running. Med Sci Sports Exerc 1973; 5: 248–52Google Scholar
  18. 18.
    Lucia A, Pardo J, Durantez A, et al. Physiological differences between professional and elite road cyclists. Int J Sports Med 1998; 19: 342–8PubMedCrossRefGoogle Scholar
  19. 19.
    Cosgrove MJ, Wilson J, Watt D, et al. The relationship between selected physiological variables of rowers and rowing performance as determined by a 2000m ergometer test. J Sports Sci 1999; 17: 845–52PubMedCrossRefGoogle Scholar
  20. 20.
    Weston AR, Myburgh KH, Lindsay HL et al. Skeletal muscle buffering capacity and endurance performance after high-intensity interval training by well-trained cyclists. Euro J Appl Physiol 1997; 75: 7–13CrossRefGoogle Scholar
  21. 21.
    Bentley DJ, Wilson GJ, Davie AJ, et al. Correlations between peak power output, muscular strength and cycle time trial performance in triathletes. J Sports Med Phys Fitness 1998; 38: 201–7PubMedGoogle Scholar
  22. 22.
    Noakes TD, Myburgh KH, Schall R. Peak treadmill running velocity during the V̇O2max test predicts running performance. J Sport Sci 1990; 8: 35–45CrossRefGoogle Scholar
  23. 23.
    Howley JA, Noakes TD. Peak power output predicts maximal oxygen uptake and performance time in trained cyclists. Eur J Appl Physiol 1992; 65: 79–83CrossRefGoogle Scholar
  24. 24.
    Balmer J, Davison RC, Bird SR. Peak power predicts performance power during an outdoor 16.1-km cycling time trial. Med Sci Sports Exerc 2000; 32: 1485–90PubMedCrossRefGoogle Scholar
  25. 25.
    Scott BE, Houmard JA. Peak running velocity is highly related to distance running performance. Int J Sports Med 1994; 15: 504–7PubMedCrossRefGoogle Scholar
  26. 26.
    Ebert TR, Martin DT, McDonald W, et al. Power output during women’s world cup road cycle racing. For J Appl Physiol 2005; 95: 529–36CrossRefGoogle Scholar
  27. 27.
    Paton CD, Hopkins WG. Tests of cycling performance. Sports Med 2001; 31: 489–96PubMedCrossRefGoogle Scholar
  28. 28.
    Padilla S, Mujika I, Orbananos J. Exercise intensity during competition time trials in professional road cycling. Med Sci Sports Exerc 2000; 32: 850–6PubMedCrossRefGoogle Scholar
  29. 29.
    Kuipers H, Verstappen FTJ, Keizer HA, et al. Variability of aerobic performance in the laboratory and its physiologic correlates. Int J Sports Med 1985; 6: 197–201PubMedCrossRefGoogle Scholar
  30. 30.
    Balmer J, Davison RC, Bird SR. The reliability of an air braked ergoneter to record peak power output during a maximal cycling test. Med Sci Sports Exer 2000; 32: 1790–3CrossRefGoogle Scholar
  31. 31.
    Brooks GA. Anaerobic threshold: review of the concept and directions for future research. Med Sci Sports Exerc 1985; 17: 22–34PubMedGoogle Scholar
  32. 32.
    Loot CE, Rhodes EC. Relationship between the lactate and ventilatory thresholds during prolonged exercise. Sports Med 1993; 15: 104–15CrossRefGoogle Scholar
  33. 33.
    Svedahl K, Macintosh BR. Anaerobic threshold: the concept and methods of measurement. Can J Appl Physiol 2003; 28: 299–323PubMedCrossRefGoogle Scholar
  34. 34.
    Yoshida T, Chida M, Ichioka M, et al. Blood lactate parameters related to aerobic capacity and endurance performance. Eur J Appl Physiol 1987; 56: 7–11CrossRefGoogle Scholar
  35. 35.
    Thoden JS. Testing aerobic power. In: MacDougall D, Wenger HA, Green HJ, editors. Physiological testng of the high-performance athlete. Champaign (IL): Human Kinetics, 1991: 131–46Google Scholar
  36. 36.
    Beaver WL, Wasserman K, Whipp BJ. Improved detection of lactate threshold during exercise using a log-log transformation. J Appl Physiol 1985; 59: 1936–40PubMedGoogle Scholar
  37. 37.
    Cheng B, Kuipers H, Snyder AC, et al. A new approach for the determination of ventilatory and lactate thresholds. Int J Sports Med 1992; 13: 518–22PubMedCrossRefGoogle Scholar
  38. 38.
    Kindermann W, Simon G, Knot J. The significance of the aerobic-anaerobic transition for the determination of workload intensities during endurance training. Eur J Appl Physiol 1979; 42: 25–34CrossRefGoogle Scholar
  39. 39.
    Beneke R. Anaerobic threshold, individual anaerobic threshold, and maximal lactate steady state in rowing. Med Sci Sports Exerc 1995; 27: 863–7PubMedGoogle Scholar
  40. 40.
    Urhausen A, Coen B, Weiler B, et al. Individual anaerobic threshold and maximum lactate steady state. Int J Sports Med 1993; 14: 134–9PubMedCrossRefGoogle Scholar
  41. 41.
    Stegmann H, Kindermann W. Comparison of prolonged exercise tests at the individual anaerobic threshold and the fixed anaerobic threshold of 4 mmol/L lactate. Int J Sports Med 1982; 3: 105–10PubMedCrossRefGoogle Scholar
  42. 42.
    Grant S, McMillan K, Newell J, et al. Reproducibility of the blood lactate threshold, 4 mmoFL marker, heart rate and ratings of perceived exertion during incremental treadmill exercise in humans. Eur J Appl Physiol 2002; 87: 159–66PubMedCrossRefGoogle Scholar
  43. 43.
    Wasserman K, Whipp BJ, Koyal SN, et al. Anaerobic threshold and respiratory gas exchange during exercise. J Appl Physiol 1973; 35: 236–43PubMedGoogle Scholar
  44. 44.
    Davis JA. Anaerobic threshold: review of the concept and directions for future research. Med Sci Sports Exerc 1985; 17: 6–21PubMedGoogle Scholar
  45. 45.
    Meyer T, Lucia A, Earnest CP, et al. A conceptual framework for performance diagnosis and training prescription from submaximal gas exchange parameters: theory and application. Int J Sports Med 2005; 26 Suppl. 1: S38–48PubMedCrossRefGoogle Scholar
  46. 46.
    Laursen PB, Rhodes EC, Langill RH, et al. Relationship of exercise test variables to cycling performance in an ironman triathlon. Eur J Appl Physiol 2002; 87: 433–40PubMedCrossRefGoogle Scholar
  47. 47.
    Lucia A, Hoyos J, Carvajal A, et al. Heart rate response to professional road cycling: the Tour de France. Int J Sports Med 1999; 20: 167–72PubMedCrossRefGoogle Scholar
  48. 48.
    Amann M, Subudhi AW, Walker J, et al. An evaluation of the predictive validity and reliability of ventilatory threshold. Med Sci Sports Exerc 2004; 36: 1716–22PubMedCrossRefGoogle Scholar
  49. 49.
    Weston SB, Gabbett TJ. Reproducibility of ventilation of thresholds in trained cyclists during ramp cycle exercise. J Sci Med Sport 2001; 4: 357–66PubMedCrossRefGoogle Scholar
  50. 50.
    Dickhuth HH, Yin L, Niess A, et al. Ventilatory, lactate-derived and catecholarrine thresholds during incremental treadmill running: relationship and reproducibility. But J Sports Med 1999; 20: 122–7Google Scholar
  51. 51.
    Simon J, Young JL, Blood DK, et al. Plasma lactate and ventilation thresholds in trained and untrained cyclists. J Appl Physiol 1986; 60: 777–81PubMedGoogle Scholar
  52. 52.
    Neary PJ, MacDougall JD, Bachus R, et al. The relationship between lactate and ventilatory thresholds: coincidental or cause and effect? Eur J Appl Physiol 1985; 54: 10–48CrossRefGoogle Scholar
  53. 53.
    von Duvillard SP, LeMura LM, Bacharach DW, et al. Determination of lactate threshold by respiratory gas exchange measures and blood lactate levels during incremental load work. J Manipulative Physiol Ther 1993; 16: 312–8Google Scholar
  54. 54.
    Simon J, Young JL, Gutin B, et al. Lactate accumulation relative to the anaerobic and respiratory compensation thresholds. J Appl Physiol 1983; 54: 13–7PubMedGoogle Scholar
  55. 55.
    Hughson RL, Green HJ, Sharratt MT. Gas exchange, blood lactate, and plasma catecholamunes during incremental exercise in hypoxia and normoxia. J Appl Physiol 1995; 79: 1134–41PubMedGoogle Scholar
  56. 56.
    Davis JA, Caiozzo VJ, Lamara N, et al. Does the gas exchange anaerobic threshold occur at a fixed blood lactate concentration of 2 or 4mM? Eur J Sports Med 1983; 4: 89–93Google Scholar
  57. 57.
    McLellan TM. Ventilatory and plasma lactate response with different exercise protocols: a comparison of methods. Eur J Sports Med 1985; 6: 30–5Google Scholar
  58. 58.
    Coyle EF, Coggan AR, Hopper MK, et al. Determinants of endurance in well-trained cyclists. J Appl Physiol 1988; 64: 2622–30PubMedGoogle Scholar
  59. 59.
    Coyle EF, Feltner ME, Kautz SA, et al. Physiological and biomechanical factors associated with elite endurance cycling performance. Med Sci Sports Exerc 1991; 23: 93–107PubMedGoogle Scholar
  60. 60.
    Loftin M, Warren B. Comparison of a simulated 16.1-km fine trial, V̇O2max and related factors in cyclists with different ventilatory thresholds. Int J Sports Med 1994; 15: 498–503PubMedCrossRefGoogle Scholar
  61. 61.
    Gilman MB, Wells CL. The use of heart rates to monitor exercise intensity in relation to metabolic variables. Eur J Sports Med 1993; 14: 33944Google Scholar
  62. 62.
    Robinson DM, Robinson SM, Home PA, et al. Training intensity in elite male distance runners. Med Sci Sports Exerc 1991; 23: 1078–82PubMedGoogle Scholar
  63. 63.
    Kenefick RW, Mattern CO, Mahoord NV, et al. Physiological variables at lactate threshold under-represent cycling tirre-trial intensity. J Sports Med Phys Fitness 2002; 42: 396–402PubMedGoogle Scholar
  64. 64.
    Hoogeveen AR, Schep G. The plasma lactate response to exercise and endurance performance: relationships in elite triathletes. Int J Sports Med 1997; 18: 526–30PubMedCrossRefGoogle Scholar
  65. 65.
    Torrey S, Grappe F, Girard A, et al. Physiological and metabolic responses of triathletes to a sirruilated 30-min tirre-trial in cycling at self-selected intensity. Eur J Sports Med 2003; 24: 138–43Google Scholar
  66. 66.
    Laursen PB, Knox WL, Shing CM, et al. Relationship between laboratory-measured variables and heart rate during an ultra-endurance triathlon. J Sports Sci 2005; 23: 1111–20PubMedCrossRefGoogle Scholar
  67. 67.
    Coyle EF, Martin WH, Ehsani AA, et al. Blood lactate threshold in some well-trained ischemic heart disease patients. J Appl Physiol 1983; 54: 18–23PubMedCrossRefGoogle Scholar
  68. 68.
    Sabapathy S, Morris NR, Schneider DA. Ventilatory and gasexchange responses to incremental exercise performed with reduced muscle glycogen content. J Sci Med Sport 2006; 9: 267–73PubMedCrossRefGoogle Scholar
  69. 69.
    McLellan TM, Gass GC. The relationship between the ventilation and lactate thresholds following normal, low and high carbohydrate diets. Fort J Appl Physiol 1989; 58: 568–76CrossRefGoogle Scholar
  70. 70.
    Hughes EF, Turner SC, Brook GA. Effects of glycogen depletion and pedaling speed on “anaerobic threshold”. J Appl Physiol 1982; 52: 1598–607PubMedGoogle Scholar
  71. 71.
    Yoshida T. Effect of dietary modifications on lactate threshold and onset of blood lactate accumulation during incremental exercise. Eur J Appl Physiol 1984; 53: 200–5CrossRefGoogle Scholar
  72. 72.
    Langfort JL, Zarzeczny R, Nazar K, et al. The effect of lowcarbohydrate diet on the pattern of hormonal changes during incremental, graded exercise in young men. Int J Sport Nutr Exerc Metab 2001; 11: 248–57PubMedGoogle Scholar
  73. 73.
    Faria EW, Parker DL, Faria EE. The science of cycling: physiology and training. Part 1. Sports Med 2005; 35: 285–312PubMedCrossRefGoogle Scholar
  74. 74.
    Bentley DJ, McNaughton LR. Comparison of W(peak), V̇O2 (peak) and the ventilation threshold from two different incremental exercise tests: relationship to endurance performance. J Sci Med Sport 2003; 6: 422–35PubMedCrossRefGoogle Scholar
  75. 75.
    Hansen JE, Casaburi R, Cooper DM, et al. Oxygen uptake as related to increment during cycle ergorneter exercise. Eur J Appl Physiol 1988; 57: 140–5CrossRefGoogle Scholar
  76. 76.
    Foxdal P, Sjodin A, Ostman B, et al. The effect of different blood sampling sites and analyses on the relationship between exercise intensity and 4.0 mmol/L blood lactate concentration. Eur J Appl Physiol 1991; 63: 52–4CrossRefGoogle Scholar
  77. 77.
    Foxdal P, Sjoddin B, Sjodin A, et al. The validity and accuracy of blood lactate measurements for prediction of maximal endurance running capacity: dependency of analysed blood media in combination with different designs of the exercise test. Int J Sports Med 1994; 15: 89–95PubMedCrossRefGoogle Scholar
  78. 78.
    Foxdal P, Sjoddin A, Sjoddin B. Comparison of blood lactate concentrations obtained during incremental and constant intensity exercise. Int J Sports Med 1996; 17: 360–5PubMedCrossRefGoogle Scholar
  79. 79.
    Yoshida T. Effect of exercise duration during incremental exercise on the determ ination of anaerobic threshold and the onset of blood lactate accumulation. Eur J Appl Physiol 1984; 53: 196–9CrossRefGoogle Scholar
  80. 80.
    Pfitzinger P, Freedson PS. The reliability of lactate measurements during exercise. Eur J Sports Med 1998; 19: 349-57Google Scholar
  81. 81.
    Smith EW, Skelton MS, Kremer DE, et al. Lactate distribution in the blood during steady-state exercise. Med Sci Sports Exerc 1998; 30: 1424–9PubMedGoogle Scholar
  82. 82.
    Froeficher VF, Brammell H, Davis G, et al. A comparison of three maximal treadmill exercise protocols. J Appl Physiol 1974; 36: 720–5Google Scholar
  83. 83.
    Whipp BJ, Davis JA, Torrse F, et al. A test to determine parameters of anaerobic function during exercise. J Appl Physiol 1981; 50: 217–22PubMedGoogle Scholar
  84. 84.
    Buchfuhrer MJ, Hansen JE, Robinson TE, et al. Optimusing the exercise protocol for cardiopulmonary assessment. J Appl Physiol 1983; 55: 1558–64PubMedGoogle Scholar
  85. 85.
    Stockhausen W, Grathwohl D, Burklin C, et al. Stage duration and increase of work load in incremental testing on a cycle ergometer. Eur J Appl Physiol 1997; 76: 295–301CrossRefGoogle Scholar
  86. 86.
    Yoshida T. A comparison of lactate threshold andonset ofblood lactate accumulation during two kinds of duration of incremental exercises. Ann Physiol Anthropol 1986; 5: 211–6PubMedCrossRefGoogle Scholar
  87. 87.
    Kim SW, Ichimaru N, Kakimaru M, et al. Effect of workload durations in progressive exercise relationships between blood lactate and anaerobic thresholds. Ann Physiol Anthropol 1988; 7: 151–7PubMedCrossRefGoogle Scholar
  88. 88.
    Coen B, Urhausen A, Kindermann W. Individual anaerobic threshold: methodological aspects of its assessmentin running. Int J Sports Med 2000; 22: 8–16CrossRefGoogle Scholar
  89. 89.
    Amann M, Subudhi A, Foster C. Influence oftesting protocol on ventilatory thresholds and cycling performance. Med Sci Sports Exerc 2004; 36: 613–22PubMedCrossRefGoogle Scholar
  90. 90.
    Bishop D, Jenkins DG, Mackinnon LT. The effect of stage duration on the calculation of peak V̇O2 during cycle ergorretry. J Sci Med Sport 1998; 1: 171–8PubMedCrossRefGoogle Scholar
  91. 91.
    McNaughton LR, Roberts S, Bentley DJ. Predicting performance in a short distance cycling time trial: effects of incremental exercise test design. J Strength Cond Res 2005; 20: 157–61Google Scholar
  92. 92.
    Pierce SJ, Hahn AG, Davie A, et al. Prolonged incremental tests do not necessarily compromise V̇O2max in well framed athletes. J Sci Med Sport 1999; 2: 356–63PubMedCrossRefGoogle Scholar
  93. 93.
    Baldwin J, Snow RJ, Febbraio MA. Effect of training status and relative exercise intensity on physiological responses in men. Med Sci Sports Exerc 2000; 32: 1648–54PubMedGoogle Scholar
  94. 94.
    Bentley DJ, McNaughton LR, Batterham AM. Prolonged stage duration during incremental cycle exercise: effects on the lactate threshold and onset of blood lactate accumulation. Eur J Appl Physiol 2001; 85: 351–7PubMedCrossRefGoogle Scholar
  95. 95.
    Wellman A, Snead D, Stein P, et al. Reliability and validity of a continuous incremental treadmill protocol for the determination of lactate threshold, fixed blood lactate concentrations and V̇O2max. Int J Sports Med 1990; 11: 26–32CrossRefGoogle Scholar
  96. 96.
    Weston SB, Gray AB, Schneider DA, et al. Effect of ramp slope on ventilation thresholds and V̇O2peak in male cyclists. Int J Sports Med 2002; 23: 227CrossRefGoogle Scholar
  97. 97.
    Bentley DJ, McNaughton LR. Incremental exercise test design, the lactate threshold and cycle finno-trial performance. J Sports Sci 2002; 20: 15–6Google Scholar
  98. 98.
    Morton RH. Detection of a lactate threshold during incremental exercise? J Appl Physiol 1989; 67: 885–8PubMedGoogle Scholar
  99. 99.
    Lundberg MA, Hughson RL, Weisiger KH, et al. Computerized estimation of lactate threshold. Comput Biomed Res 1986; 19: 481–6PubMedCrossRefGoogle Scholar
  100. 100.
    Newell J, Einbeck J, Madden N, et al. Using functional data analysis to summarise and interpret lactate curves. Comput Biol Med 2006; 36: 262–75PubMedCrossRefGoogle Scholar
  101. 101.
    Heck H, Mader A, Hess G, et al. Justification of the 4 mmoFL lactate threshold. Int J Sports Med 1985; 6: 117-30PubMedCrossRefGoogle Scholar
  102. 102.
    Newell J, Embeck J, Madden M, et al. Model free endurance markers based on the second derivative of blood lactate curves. Proceedings of the 20th International Workshop on Statistical Modelling; 2005 Jul 10–15; Sydney (NSW), 357–64Google Scholar
  103. 103.
    Ranrsey JO, Silverman BW. Functional data analysis. New York: Springer, 1997Google Scholar

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Authors and Affiliations

  1. 1.School of Medical Sciences, Health and Exercise ScienceThe University of New South WalesSydneyAustralia
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland
  3. 3.Facoltà di Scienze MotorieUniversità degli Studi di VeronaVeronaItaly

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