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What is the best fitting function? Evaluation of lactate curves with common methods from the literature

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Proceedings of the 10th International Symposium on Computer Science in Sports (ISCSS)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 392))

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Abstract

Using the lactate threshold for training prescription is the gold-standard, although there are several open questions. One open question is: What is the best fitting method for the load-lactate data points? This investigation re-analyses over 3500 lactate diagnostic datasets in swimming. Our evaluation software examines six different fitting methods with two different minimization criteria (RMSE and SE). Optimization of parameters of the functions is put in excecution with gradient descent. From a mathematical point of view, the double phase model, which consists of two linear regression lines, shows the least errors (RMSE min 0.254 ± 0.172; SE min 0.311 ± 0.210). However, this method cannot be used for every further determination of lactate thresholds. Some threshold determination models need a single curve. In these cases, the exponential function shows the least errors (RMSE min 0.846 ± 0.488; SE min 1.196 ± 0.689). This confirms the default fitting method used in practice.

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References

  1. Association, G.S.: Komplexe leistungsdiagnostik testbeschreibung. Schwimmen Lernen und Optimieren 17, 168 (2000)

    Google Scholar 

  2. Beaver, W.L., Wasserman, K., Whipp, B.J.: Improved detection of lactate threshold during exercise using a log-log transformation. Journal of Applied Physiology 59, 1936–1940 (1985)

    Google Scholar 

  3. Bosquet, L., Leger, L., Legros, P.: Methods to determine aerobic endurance. Sports Medicine 32, 675–700 (2002)

    Google Scholar 

  4. Busso, T.: Variable dose-response relationship between exercise training and performance. Medicine and Science in Sports and Exercise 35, 1188–1195 (2003)

    Google Scholar 

  5. Cheng, B., Kuipers, H., Snyder, A.C., Keizer, H.A., Jeukendrup, A., Hesselink, M.: A new approach for the determination of ventilatory and lactate thresholds. International Journal of Sports Medicine 13, 518–522 (1992)

    Google Scholar 

  6. Faude, O., Kindermann, W., Meyer, T.: Lactate threshold concepts how valid are they? Sports Medicine 39, 469–490 (2009)

    Google Scholar 

  7. Gamma, E., Helm, R., Johnson, R., Vlissides, J.: Design Patterns Elements of Reusable Object-Oriented Software. Eddison-Wesley, Boston (2002)

    Google Scholar 

  8. Grant, S., McMillan, K., Newell, J., Wood, L., Keatley, S., Simpson, D., Leslie, K., Fairlie-Clark, S.: Reproducibility of the blood lactate threshold, 4 mmol center dot l(-1) marker, heart rate and ratings of perceived exertion during incremental treadmill exercise in humans. European Journal of Applied Physiology 87, 159–166 (2002)

    Google Scholar 

  9. Hughson, R.L., Weisiger, K.H., Swanson, G.D.: Blood lactate concentration increases as a continuous function in progressive exercise. Journal of Applied Physiology 62, 1975–1981 (1987)

    Google Scholar 

  10. Lundberg, M.A., Hughson, R.L.,Weisiger, K.H., Jones, R.H., Swanson, G.D.: Computerized estimation of lactate threshold. Computers and Biomedical Research 19, 481–486 (1986)

    Google Scholar 

  11. Mader, A., Liesen, H., Heck, H.: Zur beurteilung der sportarspezifischen ausdauerleistungsfhigkeit im labor. Sportarzt Sportmedizin 27, 80–88, 109–112 (1976)

    Google Scholar 

  12. Pansold, B., Zinner, J.: Stellenwert der Laktatbestimmung in der Leistungsdiagnostik, chap. Die Laktat-Leistungs-Kurve - ein Analyse und Interpretationsmodell der Leistungsdiagnostik im Schwimmen, pp. 47–64. Fischer, Stuttgart (1994)

    Google Scholar 

  13. Rudolph, K., Berbalk, A.: Ausdauerdiagnostik im rahmen der dsv-kld von 19921997. In: Freitag, W. (ed.) Schwimmen Lernen und Optimieren. vol. 17, pp.33–55 (2000)

    Google Scholar 

  14. Simon, G., Berg, A., Dickhuth, H.H., Simon-Alt, A., Keul, J.: Bestimmung der anaeroben schwelle in abhngigkeit vom alter und von der leistungsfhigkeit. Deutsche Zeitschrift fr Sportmedizin 32, 7–14 (1981)

    Google Scholar 

  15. Smith, D.J.: A framework for understanding the training process leading to elite performance. Sports Medicine 33, 1103–1126 (2003)

    Google Scholar 

  16. Snyman, J.: Practical Mathematical Optimization - An Introduction to Basic Optimization Theroy and Classical and New Gradient-Based Algorithms. Springer, New York (2005)

    Google Scholar 

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Endler, S., Secker, C., Bügner, J. (2016). What is the best fitting function? Evaluation of lactate curves with common methods from the literature. In: Chung, P., Soltoggio, A., Dawson, C., Meng, Q., Pain, M. (eds) Proceedings of the 10th International Symposium on Computer Science in Sports (ISCSS). Advances in Intelligent Systems and Computing, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-319-24560-7_24

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  • DOI: https://doi.org/10.1007/978-3-319-24560-7_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24558-4

  • Online ISBN: 978-3-319-24560-7

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