Muñoz DA, Gálvez-Coyt G, Alonso MA

Language: English
References: 32
Page: 103-110
PDF size: 352.60 Kb.

ABSTRACT

Cardiac cycle can be analyzed as a thermodynamic cycle, however, the inherent variability of this cycle implies that, although in the short term the cycle is quasi-reversible, in the long term is irreversible. This work discusses two important aspects of the cardiac cycle related with thermodynamic concepts: the calculation of the cycle’s efficiency and the quantification of the irreversibility of interbeat interval time series. The results show that there is a variability of cardiac efficiency along the day for both healthy and congestive heart failure (CHF) patients, and there is a substantial reduction in efficiency for CHF patients. If time reversibility on different scales is taken into account, methods as spectral power, fractal dimension and detrended fluctuation analysis (DFA) give the same results, but if the analysis is performed with the multiscale time irreversibility method applied to the interbeat interval time series, it results that the interbeat interval time series of healthy persons are irreversible and time series of CHF patients tend to reversibility.

REFERENCES

1. Ivanov PCh, Goldberger AL, Stanley HE. «Fractal and Multifractal Approaches in Physiology», in Bunde, A, Knopp J, Schellnhuber H J eds., The Science of Disasters, Springer- Verlag (Germany), 2002.

2. Ivanov PCh, Nunez Amaral LA, Goldberger AL, Havlin S, Rosemblum MG, Struzik ZR et al. «Multifractality in human heartbeat dynamics». Nature (London), 1999; 399: 461-465.

3. Costa MD, Chung-Kang P, Goldberger AL. «Multiscale analysis of heart rate dynamics: entropy and time irreversibility measures ». Cardiovasc Eng 2008; 8: 88-93.

4. Stanley, HE. «Exotic statistical physics: Applications to biology, medicine and economics». Physica A 2000: 285: 1-17.

5. Ivanov PCh. «Scale-invariant aspects of cardiac dynamics». IEEE Engineering in Medicine and Biology Magazine, 2007: 33-37.

6. Goldberger AL, Amaral LA, Hausdorff JM, Ivanov PCh, Peng CK, Stanley HE. «Fractal dynamics in physiology: alterations with disease and aging». Proc Natl Acad Sci USA 2002; 19: 2466-2472.

7. Buchman TG. «The community of the self». Nature 2002; 420: 246-251.

8. Muñoz Diosdado A. «Analysis of the relation between complexity and multifractality in cardiac interbeat intervals time series». IFMBE Proceedings 2009; 25(9): 1506-1509.

9. Muñoz Diosdado A, Gálvez Coyt G, Pérez Uribe BM, Arellanes González J. «Analysis of RR intervals time series of congestive heart failure patients with Higuchi’s fractal dimension». Proceedings IEEE EMBS Annual International Conference, 2009; 31: 3453-3456.

10. Costa M, Goldberger AL, Peng C–K. «Broken asymmetry of the human heartbeat: Loss of time irreversibility in aging and disease». Phys Rev Lett 2005; 95: 198102.

11. Chialvo DR, Millonas, M. «Asymmetric unbiased fluctuations are sufficient for the operation of a correlation ratchet». Phys Lett A 1995; 209: 26-30.

12. Costa M, Goldberger AL, Peng C-K. «Multiscale Entropy Analysis of Complex Physiologic Time Series». Phys Rev Lett 2002; 89: 068102.

13. Costa M, Goldberger AL, Peng C-K. «Multiscale entropy analysis of biological signals». Phys Rev E 2005; 71: 021906.

14. Daw CS, Finney EA, Kennel MB. «Symbolic approach for measuring temporal «irreversibility». Phys Rev E 2000; 62: 1912-1921.

15. Malamud BD, Turcotte DL. «Self-Affine Time Series: I Generation and Analyses». Advances in Geophysics 1999; 40: 1-90.

16. Edwards R, Beuter A. «Using Time Domain Characteristics to Discriminate Physiologic and Parkinsonian Tremors». J Clin Neurophysiol 2000; 17: 87-100.

17. Uehara M, Sakane KK, Bertolotti SA. «Thermodynamics of the heart: Relation between cardiac output and oxygen consumption». Am J Phys 2008; 76(6): 566–567.

18. Blick EF, Stein PD. «Work of the heart: A general thermodynamic analysis». J Biomech 1997; 10: 598-595.

19. Badeer HS. «Work and energy expenditure of the heart». Acta Cardiol 1969; 24: 227-241.

20. Katz, LN. «Observation on the external work of the isolated turtle heart». J Physiol (London) 1931; 99: 579-597.

21. Çengel YA, Boles M. Thermodynamics: An Engineering Approach. McGraw-Hill (USA), 2010.

22. Guyton AC, Hall JE. Tratado de fisiología médica, 11th Ed. McGraw-Hill (NJ), 2008.

23. Ingwall JS, Weiss RG. «Is the failing heart energy starved? On using chemical energy to support cardiac function». Circ Res 2004; 95: 135-145.

24. Higginbotham MB, Morris KG, Williams RS, McHale PA, Coleman RE, Cobb FR. «Regulation of stroke volume during submaximal and maximal upright exercise in normal man». Circ Res 1986; 58: 281-291.

25. Grodins FS. Control Theory and Biological System. Columbia University Press (New York), 1963.

26. Goldberger AL, Amaral LAN et al. «PhysioBank, PhysioToolkit, and Physionet: Components of a New Research Resource for Complex Physiologic Signals». Circulation 2000; 101(23): e215-e220 [http://circ.ahjournals.org/org/cgi/ content/ full/101/23/e215].

27. Higuchi T. «Approach to an irregular time series on the basis of the fractal theory». Physica D 1988; 31: 277-283.

28. Turcotte DL. Fractals and chaos in geology and geophysics 2nd ed. Cambridge University Press (Cambridge), 1997.

29. Peng C-K, Buldyrev SV, Goldberger AL, Havlin S, Simons S, Stanley HE. «Finite-size effects on long-range correlations: implications for analyzing DNA sequences». Phys Rev E 1993; 47(5): 3730-3733.

30. Knaapen P, Germans T, Knuuti J, Paulus WJ, Dijkmas PA, Allart CP et al. «Myocardial energetic and efficiency: current status of the noninvasive approach». Circulation, 2007; 115: 918-927.

31. Peterson LR et al. «Effect of obesity and insulin resistance on myocardial substrate metabolism and efficiency in young women». Circulation, 2004; 109: 2191-2196.

32. Wu Y, Yu Y, Kovács SJ. «Contraction-relaxation coupling mechanism characterization in the thermodynamic phase plane: normal vs. impaired left ventricular ejection fraction». J Appl Physiol 2007; 102: 1367-1373.