Simulating heart rate kinetics during incremental and interval training

1. Astrand P.O., K. Rodahl, H.A. Dahl, S.B. Stromme (2003) Textbook of work physiology – Physiological bases of exercise. Hum. Kinet., 4th edition.Search in Google Scholar

2. Bangsbo J., P. Krustrup, J. Gonzalez-Alonso, R. Bonshel, B. Saltin (2000) Muscle oxygen kinetics at onset of intense dynamic exercise in humans. Am. J. Physiol. Regul. Integr. Comp. Physiol., 279: R899-R906.10.1152/ajpregu.2000.279.3.R89910956247Search in Google Scholar

3. Barstow T.J., P.A. Mole (1991) Linear and nonlinear characteristics of oxygen uptake kinetics during heavy exercise. J. Appl. Physiol., 71(6): 2099-2106.Search in Google Scholar

4. Billat V.L. (2001) Interval training for performance: a scientific and empirical practice. special recommendations for middle and long distance running. part i: Aerobic interval training. Sports Med., 31(1): 13-31. DOI: 10.2165/00007256-200131010-00002.10.2165/00007256-200131010-0000211219499Search in Google Scholar

5. Billat V.L. (2001) Interval training for performance: a scientific and empirical practice. special recommendations for middle and long distance running. part ii: Aerobic interval training. Sports Med., 31(2): 75-90. DOI: 10.2165/00007256-200131020-00001.10.2165/00007256-200131020-0000111227980Search in Google Scholar

6. Billat V.L., J. Slawinski, V. Bocquet, A. Demarle, L. Lafitte, P. Chassaing, J.P. Ko-ralsztein (2000) Intermittent runs at the velocity associated with maximal oxygen uptake enables subjects to remain at maximal oxygen uptake for a longer time than intense but submaximal runs. Europ. J. Appl. Physiol., 81(3): 188-196. DOI: 10.1007/s00421005002910.1007/s00421005002910638376Search in Google Scholar

7. Bowers R., L. Fox (1992) Sports Physiology. Brown (William C.) Co, 3rd edition.Search in Google Scholar

8. Burke E.R. (1998) Precision Heart Rate Training. Human Kinetics Pub. Inc., 2nd edition.Search in Google Scholar

9. Davies C.T., P.E. Di Prampero, P. Cerretelli (1972) Kinetics of the cardiac output and respiratory gas exchange during exercise and recovery. J. Appl. Physiol., 32: 618-625.Search in Google Scholar

10. Hairer E., S. Norsett, G. Wanner (1993) Solving Ordinary Differential Equations I: Nonstiff Problems. Springer-Verlag, Berlin, 2nd edition. DOI: 10.1007/978-3-540-78862-1.10.1007/978-3-540-78862-1Search in Google Scholar

11. Hill A.V., L. Lupton (1923) Muscular exercise, lactic acid and the supply and utilization of oxygen. Q. J. Med., 16: 135-171.Search in Google Scholar

12. Karvonen J., T. Vuorimaa (1988) Heart rate and exercise intensity during sports activities. practical application. Sports Med., 5(5): 303-311, DOI: 10.2165/00007256-198805050-00002.10.2165/00007256-198805050-000023387734Search in Google Scholar

13. Linnarsson D. (1974) Dynamics of pulmonary gas exchange and heart rate changes at start and end of exercise. Acta Physiol. Scand. Suppl., 415: 1-68.Search in Google Scholar

14. Maffetone P. (1996) High Performance Heart: Effective Training with the HRM for Health, Fitness and Competition. Human Kinetics Pub. Inc., 2nd edition.Search in Google Scholar

15. Mazzoleni M.J., C.L. Battaglini, K.J. Martin, E.M. Coffman, B.P. Mann (2016) Modeling and predicting heart rate dynamics across a broad range of transient exercise intensities during cycling. Sports Eng., 19(2): 117-127. DOI: 10.1007/s12283-015-0193-3.10.1007/s12283-015-0193-3Search in Google Scholar

16. Powers S.K., E.T. Howley (1997) Exercise Physiology: Theory and Application to Fitness and Performance. Brown & Benchmark Publishers, 3rd edition.Search in Google Scholar

17. Sherwood L. (2010) Human Physiology: From Cells to Systems. Brooks/Cole, 7th edition.Search in Google Scholar

18. Stirling J.R., M.S. Zakynthinaki (2009) Counterpoint: The kinetics of oxygen uptake during muscular exercise do not manifest time-delayed phases. J. Appl. Physiol., 107: 1665-1667. DOI: 10.1152/japplphysiol.00158.2009a.10.1152/japplphysiol.00158.2009a19890030Search in Google Scholar

19. Stirling J.R., M.S. Zakynthinaki, V. Billat (2008) Modelling and analysis of the effect of training on VO2 kinetics and anaerobic capacity. Bull. Math. Biol., 70(5): 1348-1370. DOI:10.1007/s11538-008-9302-9.10.1007/s11538-008-9302-918306003Search in Google Scholar

20. Stirling J.R., M.S. Zakynthinaki, I. Refoyo, J. Sampedro (2008) A model of heart rate kinetics in response to exercise. J. Nonlin. Mathemat. Phys., 15(Suppl. 3): 426-436.DOI: 10.2991/jnmp.2008.15.s3.38.10.2991/jnmp.2008.15.s3.38Search in Google Scholar

21. Stirling J.R., M.S. Zakynthinaki, B. Saltin (2005) A model of oxygen uptake kinetics in response to exercise: Including a means of calculating oxygen demand/deficit/debt. Bull. Mathemat. Biol., 67(5): 989-1015. 10.1016/j.bulm.2004.12.00515998492Search in Google Scholar

DOI: 10.1016/j.bulm.2004.12.005. 22. Whipp B.J., K. Wasserman (1972) Oxygen uptake kinetics for various intensities of constant load work. J. Appl. Physiol., 33: 351-356.10.1152/jappl.1972.33.3.3515056210Search in Google Scholar

23. Wilmore J., D. Costill (2007) Physiology of sport and exercise. Hum. Kinet., 4th editionSearch in Google Scholar

24. Zakynthinaki M.S. (2015) Modelling heart rate kinetics. PLoS ONE, 10(4): e0118263. DOI: 10.1371/journal.pone.0118263.10.1371/journal.pone.0118263439526525876164Search in Google Scholar

25. Zakynthinaki M.S., R.O. Barakat, C.A. Cordente Martnez, J. Sampedro Molinuevo (2011) Stochastic optimization for the detection of changes in maternal heart rate kinetics during pregnancy. Comp. Phys. Commun., 182(3): 683-691. DOI: 10.1016/j.cpc.2010.11.027.10.1016/j.cpc.2010.11.027Search in Google Scholar

26. Zakynthinaki M.S., J.R. Stirling (2007) Stochastic optimization for modelling physiological time series: application to the heart rate response to exercise. Comp. Phys. Commun., 176(2): 98-108. DOI: 10.1016/j.cpc.2006.08.005.10.1016/j.cpc.2006.08.005Search in Google Scholar

27. Zakynthinaki M.S., J.R. Stirling (2008) Stochastic optimization for the calculation of the time dependency of the physiological demand during exercise and recovery. Comp. Phys. Commun., 179(12): 888-894. DOI: 10.1016/j.cpc.2008.07.012. 10.1016/j.cpc.2008.07.012Search in Google Scholar