Implicit and explicit model-based signal processing for the analysisof short-term cardiovascular interactions

Proceedings of the IEEE

Volumn 94, Issue 4, 2006, Pages 805-817

  Porta, Alberto ^a   Baselli, Giuseppe ^b   Cerutti, Sergio ^b  

^a UNIVERSITY OF MILAN   (Italy)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Autonomic nervous system; Biomedical signal processing; Cardiovascular control; Cardiovascular variability; Physiological modeling

Indexed keywords

BIOMEDICAL ENGINEERING; DATA REDUCTION; NEUROLOGY; PHYSIOLOGICAL MODELS; SIGNAL PROCESSING;

AUTONOMIC NERVOUS SYSTEM; BIOMEDICAL SIGNAL PROCESSING; CARDIOVASCULAR CONTROL; CARDIOVASCULAR VARIABILITY; PHYSIOLOGICAL MODELING;

CARDIOVASCULAR SYSTEM;

EID: 33947393588     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/JPROC.2006.871774     Document Type: Article

References (70)

1. M. A. Cohen and J. A. Taylor, "Short-term cardiovascular oscillations in man: Measuring and modeling the physiologies," J. Physiol., vol. 542, pp. 669-683, 2002.
2. H. P. Koepchen, "History of studies and concepts of blood pressure waves," in Mechanisms of Blood Pressure Waves, K. Miyakawa, C. Polosa, and H. P. Koepchen, Eds. Berlin, Germany: Springer-Verlag, 1984, pp. 3-23.
3. G. Baselli, E. Caiani, A. Porta, N. Montano, M. G. Signorini, and S. Cerutti, "Biomedical signal processing and modeling in cardiovascular systems," Crit. Rev. Biomed. Eng., vol. 30, pp. 55-84, 2002.
4. D. E. Burgess, J. D. Hundley, S.-G. Li, D. C. Randall, and D. R. Brown, "First-order differential-delay equation for the baroreflex predicts the 0.4 Hz blood pressure rhythm in rats," Amer. J. Physiol., vol. 273, pp. R1878-R1884, 1997.
5. J. V. Ringwood and S. C. Malpas, "Slow oscillations in blood pressure via a nonlinear feedback model," Amer. J. Physiol., vol. 280, pp. R1105-R1115, 2001.
6. A. C. Guyton and J. H. Harris, "Pressoreceptor-autonomic oscillation: A probable cause of vasomotor waves," Amer. J. Physiol., vol. 165, pp. 158-166, 1951.
7. K. Sagawa, O. Carrier, and A. C. Guyton, "Elicitation of theoretically predicted feedback oscillation in arterial pressure," Amer. J. Physiol., vol. 203, pp. 141-146, 1962.
8. R. W. De Boer, J. M. Karemaker, and J. Strackee, "Hemodynamic fluctuations and baroreflex sensitivity in humans: A beat-to-beat model" Amer. J. Physiol., vol. 253, pp. H680-H689, 1987.
9. G. Baselli, S. Cerutti, S. Civardi, A. Malliani, and M. Pagani, "Cardiovascular variability signals: Toward the identification of a, closed-loop model of the neural control mechanisms," IEEE Trans. Biomed. Eng., vol. 35, no. 12, pp. 1033-1046, Dec. 1988.
10. R. I. Kitney, T. Fulton, A. H. McDonald, and D. A. Linkens, "Transient interactions between blood pressure, respiration and heart rate in man," J. Biomed. Eng., vol. 7, pp. 217-224, 1985.
11. G. Baselli, S. Cerutti, F. Badilini, L. Biancardi, A. Porta, M. Pagani, F. Lombardi, O. Rimoldi, R. Furlan, and A. Malliani, "Model for the assessment of heart period and arterial pressure variability interactions and respiratory influences," Med. Biol. Eng. Comput., vol. 32, pp. 143-152, 1994.
12. G. Baselli, A. Porta, O. Rimoldi, M. Pagani, and S. Cerutti, "Spectral decomposition in multichannel recordings based on multivariate parametric identification," IEEE Trans. Biomed. Eng., vol. 44, no. 11, pp. 1092-1101, Nov. 1997.
13. S. Akselrod, D. Gordon, F. A. Ubel, D. C. Shannon, R. D. Berger, and R. J. Cohen, "Power spectrum analysis of heart rate fluctuations: A quantitative probe of beat-to-beat cardiovascular control," Science, vol. 213, pp. 220-223, 1981.
14. P. G. Katona and F. Jih, "Respiratory sinus arrhythmia: Noninvasive measure of parasympathetic cardiac control," J. Appl. Physiol., vol. 39, pp. 801-805, 1975.
15. M. Pagani, F. Lombardi, S. Guzzetti, O. Rimoldi, R. Furlan, P. Pizzinelli, G. Sandrone, G. Malfatto, S. Dell'Orto, E. Piccaluga, M. Turiel, G. Baselli, S. Cerutti, and A. Malliani, "Power spectral analysis of heart rate and arterial pressure variabilities as a marker of sympatho-vagal interaction in man and conscious dog," Circulat. Res., vol. 59, pp. 178-193, 1986.
16. Task force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology, "Standard of measurement, physiological interpretation and clinical use," Circulation, vol. 93, pp. 1043-1065, 1996.
17. M. Pagani, V. K. Somers, R. Furlan, S. Dell'Orto, J. Conway, G. Baselli, S. Cerutti, P. Sleight, and A. Malliani, "Changes in autonomic regulation induced by physical training in mild hypertension," Hypertension, vol. 12, pp. 600-610, 1988.
18. H. W. J. Robbe, L. J. M. Mulder, H. Ruddel, W. A. Langewitz, J. B. P. Eldman, and G. Ider, "Assessment of baroreceptor reflex sensitivity by means of spectral analysis," Hypertension, vol. 10, pp. 538-543, 1987.
19. J. L. Coatrieux, "Issues on signal processing and physiological modeling. Part I: Surface analysis," Crit. Rev. Biomed. Eng., vol. 30, pp. 9-35, 2002.
20. _, "Issues on signal processing and physiological modeling. Part II: Depth model-driven analysis," Crit. Rev. Biomed. Eng., vol. 30, pp. 37-54, 2002.
21. _, "Integrative science: A modeling challenge," IEEE Eng. Med. Biol. Mag., vol. 23, no. 1, pp. 12-14, Jan.-Feb. 2004.
22. _, "Integrative science: Biosignal processing and modeling," IEEE Eng. Med. Biol. Mag., vol. 23, no. 3, pp. 9-12, May-Jun. 2004.
23. _, "Integrative science: Place and future of the model-based information processing," IEEE Eng. Med. Biol. Mag., vol. 23, no. 4, pp. 19-21, Jul.-Aug. 2004.
24. M. Bland, An Introduction to Medical Statistics. New York: Oxford Univ. Press, 2000.
25. S. M. Kay and S. L. Marple, "Spectrum analysis: A modern perspective," Proc. IEEE, vol. 69, no. 11, pp. 1380-1418, Nov. 1981.
26. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis. Cambridge: Cambridge Univ. Press, 1997.
27. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
28. J. A. Taylor and D. L. Eckberg, "Fundamental relations between short-term RR interval and arterial pressure oscillations in humans," Circulation, vol. 93, pp. 1527-1532, 1996.
29. L. H. Zetterberg, "Estimation of parameters for a linear difference equation with application to ECG analysis," Math. Biosci., vol. 5, pp. 227-275, 1979.
30. F. Takens, "Detecting strange attractors in fluid turbolence," in Lecture Notes in Mathematics, D. Rand and L. S. Young, Eds. Berlin, Germany: Springer-Verlag, 1981, p. 366.
31. J. D. Farmer and J. J. Sidorowich, "Predicting chaotic time series," Phys. Rev. Lett., vol. 59, pp. 845-848, 1987.
32. G. Sugihara and R. M. May, "Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series," Nature, vol. 344, pp. 734-741, 1990.
33. K. Kanters, M. V. Hojgaard, E. Agner, and N.-H. Holstein-Rathlou, "Short- and long-term variations in nonlinear dynamics of heart rate variability," Cardiovasc. Res., vol. 31, pp. 400-409, 1996.
34. A. Porta, G. Baselli, S. Guzzetti, M. Pagani, A. Malliani, and S. Cerutti, "Prediction of short cardiovascular variability signals" based on conditional distribution," IEEE Trans. Biomed. Eng., vol. 47, no. 12, pp. 1555-1564, Dec. 2000.
35. H. Akaike, "A new look at the statistical novel identification, " IEEE Trans. Autom. Control, vol. AC-19, no. 6, pp. 716-723, Dec. 1974.
36. J. Theiler, S. Eubank, A. Longtin, and J. Galdrikian, "Testing for nonlinearity in time series: The method of surrogate data," Physica D, vol. 58, pp. 77-94, 1992.
37. D. T. Kaplan and L. Glass, Understanding Nonlinear Dynamics. New York: Springer-Verlag, 1995.
38. K. Kanters, N.-H. Holstetn-Rathlou, and E. Agner, "Lack of evidence for low-dimensional chaos in heart rate variability," J. Cardiovasc. Electrophysiol., vol. 5, pp. 591-601, 1994.
39. T. Schreiber and A. Schmitz, "Improved surrogate data for nonlinearity tests," Phys. Rev. Lett., vol. 4, pp. 635-638, 1996.
40. D. Kugiumtzis, "Testing your surrogate data before you test for nonlinearity," Phys. Rev. E, vol. 60, pp. 2808-2816, 1999.
41. J. P. Saul, R. D. Berger, P. Albrecht, S. P. Stein, M. H. Chen, and R. J. Cohen, "Transfer function analysis of the circulation: Unique insights into cardiovascular regulation," Amer. J. Physiol., vol. 261, pp. H1231-H1245, 1991.
42. A. Porta, G. Baselli, O. Rimoldi, A. Malliani, and M. Pagani, "Assessing baroreflex gain from spontaneous variability in conscious dogs: Role of causality and respiration," Amer. J. Physiol., vol. 279, pp. H2558-H2567, 2000.
43. R. W. De Boer, J. M. Karemaker, and J. Strackee, "Relationships between short-term blood pressure fluctuations and heart rate variability in resting subjects I: A spectral analysis approach," Med. Biol. Eng. Comput., vol. 23, pp. 352-358, 1985.
44. J. A. Taylor, D. L. Carr, C. W. Myers, and D. L. Eckberg, "Mechanisms underlying very-low frequency RR-interval oscillations in humans," Circulation, vol. 98, pp. 547-555, 1998.
45. A. Porta, R. Furlan, O. Rimoldi, M. Pagani, A. Malliani, and P. van de Borne, "Quantifying the strength of the linear causal coupling in closed loop interacting cardiovascular variability signals," Biol. Cybern., vol. 86, pp. 241-251, 2002.
46. L. Faes, G. D. Pinna, A. Porta, R. Maestri, and G. Nollo, "Surrogate data analysis for assessing the significance of the coherence function," IEEE Trans. Biomed. Eng., vol. 51, no. 7, pp. 1156-1166, Jul. 2004.
47. T. H. Desai, J. C. Collins, M. Snell, and R. Moscheda-Garcia, "Modeling of arterial and cardiopulmonary baroreflex control of heart rate," Amer. J. Physiol., vol. 272, pp. H2343-H2352, 1997.
48. D. Lucini, A. Porta, O. Milani, G. Baselli, and M. Pagani, "Assessment of arterial and cardiopulmonary baroreflex gains from simultaneous recordings of spontaneous cardiovascular and respiratory variability," J. Hypertens., vol. 18, pp. 281-286, 2000.
49. L. Bernardi, F. Keller, M. Sanders, P. S. Reddy, B. Griffhth, F. Meno, and R. Pinsky, "Respiratory sinus arrhythmia in the denervated human heart," J. Appl. Physiol., vol. 67, pp. 1447-1455, 1989.
50. D. Laude, J. L. Elghozi, A. Girard, F. Bellard, M. Bouhaddi, P. Castiglioni, C. Cerutti, A. Cividjian, M. di Rienzo, J. O. Fortrat, B. Janssen, J. M. Karemaker, G. Leftherious, G. Parati, P. B. Persson, A. Porta, L. Quintin, J. Regnard, H. Rudiger, and H. M. Stauss, "Comparison of various techniques used to estimate spontaneous baroreflex sensitivity (the EuroBaVar study)," Amer. J. Physiol., vol. 286, pp. R226-R231, 2004.
51. M. H. Perrott and R. J. Cohen, "An efficient approach to ARMA modeling of biological systems with multiple inputs and delays," IEEE-Trans. Biomed. Eng., vol. 43, no. 1, pp. 1-14, Jan. 1996.
52. D. J. Patton, J. K. Triedman, M. H. Perrott, A. A. Vidian, and J. P. Saul, "Baroreflex gain: Characterization using autoregressive moving average analysis," Amer. J. Physiol., vol. 270, pp. H1240-H1249, 1996.
53. J. K. Triedman, M. H. Perrott, R. J. Cohen, and J. P. Saul, "Respiratory sinus arrhythmia: Time domain characterization using autoregressive moving average analysis," Amer. J. Physiol., vol. 268, pp. H2232-H2238, 1995.
54. T. J. Mullen, M. L. Appel, R. Mukkamala, J. M. Mathias, and R. J. Cohen, "System identification of closed loop cardiovascular control: Effects of posture and autonomic blockade," Amer. J. Physiol., vol. 272, pp. H448-H461, 1997.
55. R. Mukkamala, K. Toska, and R. J. Cohen, "Noninvasive identification of the total peripheral resistance baroreflex," Amer. J. Physiol., vol. 284, pp. H947-H959, 2003.
56. A. Porta, N. Montano, M. Pagani, A. Malliani, G. Baselli, V. K. Somers, and P. van de Borne, "Non-invasive model-based estimation of the sinus node dynamic properties from spontaneous cardio-vascular variability series," Med. Biol. Eng. Comput., vol. 41, pp. 52-61, 2003.
57. T. Soderstrom and P. Stoica, System Identification. Englewood Cliffs, NJ: Prentice-Hall, 1988.
58. H. P. Koepchen, "Physiology of rhythms and control systems: An integrative approach," in Rhythms in Physiological Systems, H. Haken and H. P. Koepchen, Eds. Berlin, Germany: Springer-Verlag, 1991, pp. 3-20.
59. G. Baselli, A. Porta, S. Cerutti, E. Caiani, D. Lucini, and M. Pagani, "RR-arterial pressure variability relationships," Autonom. Neurosci., vol. 90, pp. 57-65, 2001.
60. G. Baselli, A. Porta, G. Ferrari, S. Cerutti, M. Pagani, and O. Rimoldi, "Multi-variate identification and spectral decomposition for the assessment of cardiovascular control," in Computer Analysis of Blood Pressure and Heart Rate Signals, M. di Rienzo, G. Mancia, G. Parati, A. Pedotti, and A. Zanchetti, Eds. Amsterdam, The Netherlands: IDS, 1995, pp. 95-104.
61. L. Ljung, System Identification: Theory for the User. Englewood Cliffs, NJ: Prentice-Hall, 1999.
62. A. Porta, G. Baselli, E. Caiani, A. Malliani, F. Lombardi, and S. Cerutti, "Quantifying electrocardiogram RT-RR variability interactions," Med. Biol. Eng. Comput., vol. 36, pp. 27-34, 1998.
63. S. Akselrod, D. Gordon, J. B. Madwed, N. C. Snidman, D. C. Shannon, and R. J. Cohen, "Hemodynamic regulation: Investigation by spectral analysis," Amer. J. Physiol., vol. 249, pp. H867-H875, 1985.
64. L. Faes, A. Porta, R. Cucino, S. Cerutti, R. Antolini, and G. Nollo, "Causal transfer function analysis to describe closed loop interactions between cardiovascular an cardiorespiratory variability signals," Biol. Cybern., vol. 90, pp. 390-399, 2004.
65. A. Malliani, M. Pagani, F. Lombardi, and S. Cerutti, "Cardio- vascular neural regulation explored in the frequency domain," Circulation, vol. 84, pp. 482-492, 1991.
66. G. Nollo, L. Faes, A. Porta, R. Antolini, and F. Ravelli, "Exploring directionality in spontaneous heart period and systolic arterial pressure variability interactions in humans: Implications in the evaluation of baroreflex gain," Amer. J. Physiol., vol. 288, pp. H1777-H1785, 2005.
67. R. D. Lipman, J. K. Salisbury, and J. A. Taylor, "Spontaneous indexes are inconsistent with arterial baroreflex gain," Hypertension, vol. 42, pp. 481-487, 2003.
68. S. M. Kay, Modern Spectral Analysis: Theory and Application. Englewood Cliffs, NJ: Prentice-Hall, 1989.
69. A. Malliani, Principles of Cardiovascular Neural Regulation in Health and Disease. Boston, MA: Kluwer, 2000.
70. H. D. I. Abarbanel, T. L. Carroll, L. M. Pecora, J. J. Sidorowich, and L. S. Tsimring, "Predicting physical variables in time-delay embedding," Phys. Rev. E, vol. 49, pp. 1840-1853, 1994.