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Modeling effects of age and sex on cardiovascular variability responses to aerobic ergometer exercise

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Abstract

After collecting data on the cardiovascular responses to ramp-type exercise tests on a cycle ergometer from 194 healthy male and female subjects aged from 20 to 69 years, we constructed a mathematical model that simulates typical patterns of the cardiovascular variability responses to ramp-type exercise loads below the anaerobic threshold. This was done by reflecting the following physiological mechanisms: (1) suppression of parasympathetic nerve activity, (2) reduction of total peripheral resistance, (3) resetting of the operating point in the baroreflex curve, (4) increase in stroke volume, and (5) increase in the coupling of stroke volume to pulse pressure. We estimated the values of model parameter that best fit the measured experimental data. The estimated steepness of the slope with which parasympathetic nerve activity decreased was lower in subjects with a higher anaerobic threshold, tended to increase with age, and in every age decade was higher for females than for males.

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References

  1. Baselli G, Cerutti S, Badilini F, Biancardi L, Porta A, Pagani M, Lombardi F, Rimoldi O, Furlan R, Malliani A (1994) Model for the assessment of heart period and arterial pressure variability interactions and of respiration influences. Med Biol Eng Comput 32:143–152

    Article  Google Scholar 

  2. Beaver WL, Wasserman K, Whipp BJ (1986) A new method for detecting anaerobic threshold by gas exchange. J Appl Physiol 60:2020–2027

    Google Scholar 

  3. Cameron JD, Bulpitt CJ (2003) Aging for the cardiovascular system. In: Aspinall R (ed) Aging of organs and systems. Kluwer, Netherlands, pp 137–152

    Google Scholar 

  4. Deboer RW, Karemaker JM, Strackee J (1987) Hemodynamic fluctuations and baroreflex sensitivity in humans: a beat-to-beat model. Am J Physiol-Heart C 253:H680–689

    Google Scholar 

  5. Decety J, Jeannerod M, Durozard D, Baverel G (1993) Central activation of autonomic effectors during mental stimulation of motor actions in man. J Physiol 461:549–563

    Google Scholar 

  6. Ellestad MH (2003) Stress testing: principles and practice. Oxford, New York

    Google Scholar 

  7. Ferrari AU, Radaelli A, Centola M (2003) Invited review: aging and the cardiovascular system. J Appl Physiol 95:2591–2597

    Google Scholar 

  8. Frolkis VV, Bezrukov VV, Kulchitsky OK (1996) The aging cardiovascular system. Springer, New York

    Google Scholar 

  9. Kotani K, Struzik ZR, Takamasu K, Stanley HE, Yamamoto Y (2005) Model for complex heart rate dynamics in health and diseases. Phys Rev E 72:041904

    Article  Google Scholar 

  10. Levenberg KA (1944) Method for the solution of certain problems in least-squares. Q Appl Math 2:164–168

    MATH  MathSciNet  Google Scholar 

  11. Li X, Bai J (2001) Computer simulation of the baroregulation in response to moderate dynamic exercise. Med Biol Eng Comput 39:480–487

    Article  Google Scholar 

  12. Magosso E, Ursino M (2002) Cardiovascular response to dynamic aerobic exercise: a mathematical model. Med Biol Eng Comput 40:660–674

    Article  Google Scholar 

  13. Marquardt D (1963) An algorithm for least-squares estimation of nonlinear parameters. SIAM J Appl Math 11:431–441

    Article  MATH  MathSciNet  Google Scholar 

  14. Neder JA, Nery LE, Peres C, Whipp BJ (2001) Reference values for dynamic responses to incremental cycle ergometry in males and females aged 20 to 80. Am J Resp Crit Care 164:1481–1486

    Google Scholar 

  15. Ohsuga M, Shimono F, Genno H (2001) Assessment of phasic work stress using autonomic indices. Int J Psychophysiol 40:211–220

    Article  Google Scholar 

  16. Pollock ML, Gaesser GA, Butcher JD (1998) The recommended quantity and quality of exercise for developing and maintaining cardiorespiratory and muscular fitness, and flexibility in healthy adults. Med Sci Sport Exer 30:975–991

    Article  Google Scholar 

  17. Porta A, Baselli G, Rimoldi O, Malliani A, Pagani M (2000) Assessing baroreflex gain from spontaneous variability in conscious dogs: role of causality and respiration. Am J Physiol-Heart C 279:H2558–H2567

    Google Scholar 

  18. Porta A, Baselli G, Cerutti S (2006) Implicit and explicit model-based signal processing for the analysis of short-term cardiovascular interactions. Proc IEEE 94:805–818

    Article  Google Scholar 

  19. Raven PB, Fadel PJ, Ogoh S (2006) Arterial baroreflex resetting during exercise: a current perspective. Exp Physiol 91:37–49

    Article  Google Scholar 

  20. Rosenblueth A, Simeone FA (1934) The interrelations of vagal and accelerator effects on the cardiac rate. Am J Physiol 110:42–55

    Google Scholar 

  21. Rowell LB (1993) Human cardiovascular control. Oxford University Press, New York

    Google Scholar 

  22. Seals DR, Taylor JA, NG AV, Esler MD (1994) Exercise and aging: autonomic control of the circulation. Med Sci Sport Exer 26:568–576

    Google Scholar 

  23. Seidel H, Herzel H (1998) Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex. Physica D 115:145–160

    Article  MATH  Google Scholar 

  24. Turner MJ, Mier CM, Spina RJ, Schechtman KB, Ehsani AA (1999) Effects of age and gender on the cardiovascular responses to isoproterenol. J Gerontol A Biol 54:B393–400

    Google Scholar 

  25. Gulli G, Cevese A, Cappelletto P, Casparini G, Schena F (2003) Moderate aerobic training improves autonomic cardiovascular control in older women. Clin Auton Res 13:196–202

    Google Scholar 

  26. Ursino M (1999) A mathematical model of the carotid baroregulation in pulsating conditions. IEEE T Bio-Med Eng 46:382–392

    Article  Google Scholar 

  27. Yoshino K, Motoshige T, Araki T, Matsuoka K (2004) Beat-to-beat model of the cardiovascular system in response to mental task stress (in Japanese). Trans Jpn Soc Med Biol Eng 42:290–299. Retrieved from URL: http://sciencelinks.jp/j-east/display.php?id=000020051305A0316097

    Google Scholar 

  28. Yoshino K, Matsuoka K (2005) Causal coherence analysis of heart rate variability and systolic blood pressure variability under mental arithmetic task load. Biol Psychol 69:217–227

    Article  Google Scholar 

  29. Yoshino K, Hayakawa M, Niki E, Matsuoka K (2005) Closed-loop analysis of cardiovascular variability in rats under restraint stress. Auton Neurosci-Basic 119:61–66

    Article  Google Scholar 

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Correspondence to Kohzoh Yoshino.

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Yoshino, K., Adachi, K., Ihochi, K. et al. Modeling effects of age and sex on cardiovascular variability responses to aerobic ergometer exercise. Med Bio Eng Comput 45, 1085–1093 (2007). https://doi.org/10.1007/s11517-007-0282-y

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  • DOI: https://doi.org/10.1007/s11517-007-0282-y

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