Simulation of Steady-State Energy Metabolism in Cycling and Running
DOI:
https://doi.org/10.51224/SRXIV.110Keywords:
performance testing, vo2max, endurance diagnostics, maximum lactate steady-state, lactate metabolismAbstract
Purpose: A mathematical model to describe the interplay of distinct metabolic rates during exercise was developed decades ago. Despite its use in endurance performance diagnostics, attempts to validate the model’s assumptions and predictions on experimental data are rare. We here provide a comprehensive study of the latter focusing on the steady state.
Methods: We rewrote the mathematical equations in the steady state and tested them on a data set of N = 160 individuals derived from five studies in cycling and running.
Results: The rewritten equations reveal a unique relationship between the ratio of the maximum oxygen uptake and the lactate accumulation rate, and the fractional utilization of oxygen uptake at the maximum lactate steady-state. Experimental data for running and cycling do not provide evidence that this relation holds.
Conclusion: Given the current protocols to measure the maximum lactate accumulation rate, the model predictions cannot be considered as quantitative. Its use in individualized performance diagnostics is thus scientifically questionable. Additional model layers and/or more precise methods of measurement may improve the agreement between the model predictions and the data, but require experimental validation.
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References
Adam, J., Öhmichen, M., Öhmichen, E., Rother, J., Müller, U. M., Hauser, T., & Schulz, H. (2015). Reliability of the calculated maximal lactate steady state in amateur cyclists. Biology of Sport, 32(2), 97–102. https://doi.org/10.5604/20831862.1134311
Barstow, T. J., Buchthal, S. D., Zanconato, S., & Cooper, D. M. (1994). Changes in potential controllers of human skeletal muscle respiration during incremental calf exercise. Journal of Applied Physiology (Bethesda, Md. : 1985), 77(5), 2169–2176. https://doi.org/10.1152/jappl.1994.77.5.2169
Bassett, D. R., & Howley, E. T. (2000). Limiting factors for maximum oxygen uptake and determinants of endurance performance. Medicine and Science in Sports and Exercise, 32(1), 70–84. https://doi.org/10.1097/00005768-200001000-00012
Bateman, H. (1910). Solution of a system of differential equations occurring in the theory of radioactive transformations. Proc. Cambridge Phil. Soc., 15, 423–427.
Beneke, R. (2003). Methodological aspects of maximal lactate steady state-implications for performance testing. European Journal of Applied Physiology, 89(1), 95–99. https://doi.org/10.1007/s00421-002-0783-1
Beneke, R., Hütler, M., Jung, M., & Leithäuser, R. M. (2005). Modeling the blood lactate kinetics at maximal short-term exercise conditions in children, adolescents, and adults. Journal of Applied Physiology (Bethesda, Md. : 1985), 99(2), 499–504. https://doi.org/10.1152/japplphysiol.00062.2005
Chance, B., & Williams, G. R. (1955). Respiratory enzymes in oxidative phosphorylation. I. Kinetics of oxygen utilization. The Journal of Biological Chemistry, 217(1), 383–393.
Donovan, C. M., & Brooks, G. A. (1983). Endurance training affects lactate clearance, not lactate production. The American Journal of Physiology, 244(1), E83-92. https://doi.org/10.1152/ajpendo.1983.244.1.E83
Donovan, C. M., & Pagliassotti, M. J. (1990). Enhanced efficiency of lactate removal after endurance training. Journal of Applied Physiology (Bethesda, Md. : 1985), 68(3), 1053–1058. https://doi.org/10.1152/jappl.1990.68.3.1053
Dyson, F. (2004). A meeting with Enrico Fermi. Nature, 427(6972), 297. https://doi.org/10.1038/427297a
Faude, O., Kindermann, W., & Meyer, T. (2009). Lactate threshold concepts: How valid are they? Sports Medicine (Auckland, N.Z.), 39(6), 469–490. https://doi.org/10.2165/00007256-200939060-00003
Gladden, L. B. (2000). Muscle as a consumer of lactate. Medicine and Science in Sports and Exercise, 32(4), 764–771. https://doi.org/10.1097/00005768-200004000-00008
Hauser, T. (2012). Untersuchungen zur Validität und Praktikabilität des mathematisch bestimmten maximalen Laktat-steady-states bei radergometrischen Belastungen. TU-Chemnitz, Chemnitz.
Hauser, T., Adam, J., & Schulz, H. (2014). Comparison of calculated and experimental power in maximal lactate-steady state during cycling. Theoretical Biology & Medical Modelling, 11:25. https://doi.org/10.1186/1742-4682-11-25
Holloszy, J. O., & Coyle, E. F. (1984). Adaptations of skeletal muscle to endurance exercise and their metabolic consequences. Journal of Applied Physiology: Respiratory, Environmental and Exercise Physiology, 56(4), 831–838. https://doi.org/10.1152/jappl.1984.56.4.831
Hommel, J., Öhmichen, S., Rudolph, U. M., Hauser, T., & Schulz, H. (2019). Effects of six-week sprint interval or endurance training on calculated power in maximal lactate steady state. Biology of Sport, 36(1), 47–54. https://doi.org/10.5114/biolsport.2018.78906
Howley, E. T., Bassett, D. R., & Welch, H. G. (1995). Criteria for maximal oxygen uptake: Review and commentary. Medicine and Science in Sports and Exercise, 27(9), 1292–1301.
Katch, V. L., Sady, S. S., & Freedson, P. (1982). Biological variability in maximum aerobic power. Medicine and Science in Sports and Exercise, 14(1), 21–25. https://doi.org/10.1249/00005768-198201000-00004
Mader, A. (1984). Eine Theorie zur Berechnung der Dynamik und des steady state von Phosphorylierungszustand und Stoffwechselaktivität der Muskelzelle als Folge des Energiebedarfs [Habilitation]. Deutsche Sporthochschule Köln, Köln.
Mader, A. (1994). Modellbildung und Simulation biologischer Prozesse am Menschen - Ein neues Instrument für Therorieentwicklung und Interpretation experimenteller Befunde. In A. Mader & H. Allmer (Eds.), Brennpunkte der Sportwissenschaft: 8 (2). Brennpunktthema: Computersimulation: Möglichkeiten zur Theoriebildung und Ergebnisinterpretation (pp. 95–101). Academia-Verlag.
Mader, A. (2003). Glycolysis and oxidative phosphorylation as a function of cytosolic phosphorylation state and power output of the muscle cell. European Journal of Applied Physiology, 88(4-5), 317–338. https://doi.org/10.1007/s00421-002-0676-3
Mader, A., & Heck, H. (1986). A theory of the metabolic origin of "anaerobic threshold". International Journal of Sports Medicine, 7 Suppl 1, 45–65.
Mader, A., & Heck, H. (1991). Möglichkeiten und Aufgaben in der Forschung und Praxis der Humanleistungsphysiologie. Spectrum der Sportwissenschaften, 3(2), 5–54.
Millet, G. P., Vleck, V. E., & Bentley, D. J. (2009). Physiological differences between cycling and running: Lessons from triathletes. Sports Medicine (Auckland, N.Z.), 39(3), 179–206. https://doi.org/10.2165/00007256-200939030-00002
Phillips, S. M., Green, H. J., Tarnopolsky, M. A., & Grant, S. M. (1995). Increased clearance of lactate after short-term training in men. Journal of Applied Physiology (Bethesda, Md. : 1985), 79(6), 1862–1869. https://doi.org/10.1152/jappl.1995.79.6.1862
Quittmann, O. J., Abel, T., Zeller, S., Foitschik, T., & Strüder, H. K. (2018). Lactate kinetics in handcycling under various exercise modalities and their relationship to performance measures in able-bodied participants. European Journal of Applied Physiology, 118(7), 1493–1505. https://doi.org/10.1007/s00421-018-3879-y
Quittmann, O. J., Appelhans, D., Abel, T., & Strüder, H. K. (2020). Evaluation of a sport-specific field test to determine maximal lactate accumulation rate and sprint performance parameters in running. Journal of Science and Medicine in Sport, 23(1), 27–34. https://doi.org/10.1016/j.jsams.2019.08.013
Quittmann, O. J., Foitschik, T., Vafa, R., Freitag, F., Spearmann, N., Nolte, S., & Abel, T. (unpubl.). Augmenting the metabolic profile in endurance running by maximal lactate accumulation rate.
Quittmann, O. J., Schwarz, Y. M., Mester, J [Jonas], Foitschik, T., Abel, T., & Strüder, H. K. (2020). Maximal Lactate Accumulation Rate in All-out Exercise Differs between Cycling and Running. International Journal of Sports Medicine. Advance online publication. https://doi.org/10.1055/a-1273-7589
Sahlin, K. (2014). Muscle energetics during explosive activities and potential effects of nutrition and training. Sports Medicine (Auckland, N.Z.), 44 Suppl 2, S167-73. https://doi.org/10.1007/s40279-014-0256-9
Schwarz, Y. M., Nolte, S., Fuchs, M., Gehlert, G., Slowig, Y., Schiffer, A., Foitschik, T., & Quittmann, O. J. (unpubl.). Relationship between physiological parameters and time trial performance over 1, 2 and 3 km in well-trained runners.
Sjödin, B., Jacobs, I., & Svedenhag, J. (1982). Changes in onset of blood lactate accumulation (OBLA) and muscle enzymes after training at OBLA. European Journal of Applied Physiology and Occupational Physiology, 49(1), 45–57. https://doi.org/10.1007/BF00428962
van Hall, G. (2010). Lactate kinetics in human tissues at rest and during exercise. Acta Physiologica (Oxford, England), 199(4), 499–508. https://doi.org/10.1111/j.1748-1716.2010.02122.x
Veech, R. L., Lawson, J. W., Cornell, N. W., & Krebs, H. A. (1979). Cytosolic phosphorylation potential. The Journal of Biological Chemistry, 254(14), 6538–6547.
Vickers, R. (2003). Measurement Error in Maximal Oxygen Uptake Tests. Naval Health Research Center.
Wahl, P., Manunzio, C., Vogt, F., Strütt, S., Volmary, P., Bloch, W., & Mester, J [Joachim] (2017). Accuracy of a Modified Lactate Minimum Test and Reverse Lactate Threshold Test to Determine Maximal Lactate Steady State. Journal of Strength and Conditioning Research, 31(12), 3489–3496. https://doi.org/10.1519/JSC.0000000000001770
Weber, S. (2003). Berechnung leistungsbestimmender Parameter der metabolischen Aktivität auf zellulärer Ebene mittels fahrradergometrischer Untersuchungen [Diplomarbeit]. Deutsche Sporthochschule Köln, Köln.
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