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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Association, G.S.: Komplexe leistungsdiagnostik testbeschreibung. Schwimmen Lernen und Optimieren 17, 168 (2000)
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)
Bosquet, L., Leger, L., Legros, P.: Methods to determine aerobic endurance. Sports Medicine 32, 675–700 (2002)
Busso, T.: Variable dose-response relationship between exercise training and performance. Medicine and Science in Sports and Exercise 35, 1188–1195 (2003)
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)
Faude, O., Kindermann, W., Meyer, T.: Lactate threshold concepts how valid are they? Sports Medicine 39, 469–490 (2009)
Gamma, E., Helm, R., Johnson, R., Vlissides, J.: Design Patterns Elements of Reusable Object-Oriented Software. Eddison-Wesley, Boston (2002)
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)
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)
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)
Mader, A., Liesen, H., Heck, H.: Zur beurteilung der sportarspezifischen ausdauerleistungsfhigkeit im labor. Sportarzt Sportmedizin 27, 80–88, 109–112 (1976)
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)
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)
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)
Smith, D.J.: A framework for understanding the training process leading to elite performance. Sports Medicine 33, 1103–1126 (2003)
Snyman, J.: Practical Mathematical Optimization - An Introduction to Basic Optimization Theroy and Classical and New Gradient-Based Algorithms. Springer, New York (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-24560-7_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24558-4
Online ISBN: 978-3-319-24560-7
eBook Packages: Computer ScienceComputer Science (R0)