Biomedical signal processing and modeling in cardiovascular systems

Critical Reviews in Biomedical Engineering

Volumn 30, Issue 1-3, 2002, Pages 55-84

  Baselli, Giuseppe ^a   Caiani, Enrico ^a   Porta, Alberto ^b   Montano, Nicola ^b   Signorini, Maria Gabriella ^a   Cerutti, Sergio ^a  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF MILAN   (Italy)

Author keywords

Baroreflex mechanisms; Cardiorespiratory coupling; Cardiovascular autonomic control; Cardiovascular variability; Vasomotion

Indexed keywords

ALGORITHMS; CARDIOVASCULAR SYSTEM; ESTIMATION; OSCILLATIONS; SIGNAL PROCESSING;

BIOMEDICAL SIGNAL PROCESSING;

BIOMEDICAL ENGINEERING;

ACOUSTICS; ARTERIAL PRESSURE; BIOMEDICAL ENGINEERING; BREATHING; CARDIOVASCULAR SYSTEM; HEART LEFT VENTRICLE VOLUME; HEART RATE VARIABILITY; MATHEMATICAL MODEL; OSCILLATION; POWER SPECTRUM; PRESSORECEPTOR REFLEX; PRIORITY JOURNAL; REVIEW; SIGNAL PROCESSING; VASOMOTOR REFLEX;

ANIMALS; BIOMEDICAL ENGINEERING; BIOMEDICAL TECHNOLOGY; CARDIOVASCULAR SYSTEM; HUMANS; MODELS, CARDIOVASCULAR; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 0036919062     PISSN: 0278940X     EISSN: None     Source Type: Journal    
DOI: 10.1615/CritRevBiomedEng.v30.i123.40     Document Type: Review

References (127)

1. Koepchen HP. History of studies and concepts of blood pressure waves. In: Miyakawa K, Koepchen HP, Polosa C, editors. Mechanisms of Blood Pressure Waves. New York: Springer-Verlag, 1984.
2. Pagani M, Lombardi F, Guzzetti S, Rimoldi O, Furlan R, Pizzinelli P, Sandrone G, Malfatto G, Dell'Orto S, Piccaluga E, Turiel M, Baselli G, Cerutti S, Malliani A. Power spectral analysis of heart rate and arterial pressure variabilities as a marker of sympatho-vagal interaction in man and conscious dog. Circ Res 1986; 59(2):178-193.
3. Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. Heart rate variability: standards of measurement, physiological interpretation and clinical use. Circulation 2001; 93:1043-1065.
4. Baselli G, Cerutti S, Civardi S, Lombardi F, Malliani A, Merri M, Pagani M, Rizzo G. Heart rate variability signal processing: a quantitative approach as an aid to diagnosis in cardiovascular pathologies. Int J Biomed Comput 1987; 20(1-2):51-70.
5. Kitney RI, Fulton T, McDonald AH, Linkens DA. Transient interactions between blood pressure, respiration and heart rate in man. J Biomed Eng 1985; 7(3):217-224.
6. Baselli G, Cerutti S, Civardi S, Malliani A, Pagani M. Cardiovascular variability signals: towards the identification of a closed-loop model of the neural control mechanisms. IEEE Trans Biomed Eng 1988; 35(12):1033-1046.
7. Barbieri R, Parati G, Saul JP. Closed- versus open-loop assessment of heart rate baroreflex. IEEE Eng Med Biol Mag 2001; 20(2):33-42.
8. Korhonen I, Mainardi L, Loula P, Carrault G, Baselli G, Bianchi A. Linear multivariate models for physiological signal analysis: theory. Comput Methods Programs Biomed 1996; 51(1-2): 85-94.
9. Baselli G, Porta A, Rimoldi O, Pagani M, Cerutti S. Spectral decomposition in multichannel recordings based on multivariate parametric identification. IEEE Trans Biomed Eng 1997; 44(11):1092-1101.
10. Baselli G, Cerutti S, Badilini F, Biancardi L, Porta A, Pagani M, Lombardi F, Rimoldi O, Furlan R, Malliani A. Model for the assessment of heart period and arterial pressure variability interactions and of respiration influences. Med Biol Eng Comput 1994; 32(2):143-152.
11. Baselli G, Porta A, Cerutti S, Caiani EG, Lucini D, Pagani M. RR-arterial pressure variability relationships. Autonom Neurosci Basic Clin 2001; 90:57-65.
12. Porta A, Baselli G, Guzzetti S, Pagani M, Malliani A, Cerutti S. Prediction of short cardiovascular variability signals based on conditional distribution. IEEE Trans Biomed Eng 2000; 47(12):1555-1564.
13. Signorini MG, Marchetti F, Cerutti S. Applying nonlinear noise reduction in the analysis of heart rate variability. IEEE Eng Med Biol Mag 2001; 20(2):59-68.
14. Koepchen HP, Klussendorf D, Sommer D. Neurophysiological background of central neural cardiovascular-respiratory coordination: basic remarks and experimental approach. J Autonom Nerv Syst 1981; 3(2-4):335-368.
15. Butera RJ Jr., Rinzel J, Smith JC. Models of respiratory rhythm generation in the pre-Botzinger complex. I. Bursting pacemaker neurons. J Neurophysiol 1999; 82(1):382-397.
16. Montano N, Cogliati C, da Silva VJ, Gnecchi-Ruscone T, Massimini M, Porta A, Malliani A. Effects of spinal section and of positive-feedback excitatory reflex on sympathetic and heart rate variability. Hypertension 2000; 36(6):1029-1034.
17. Sica AL, Hundley BW, Ruggiero DA, Gootman PM. Emergence of lung-inflation-related sympathetic nerve activity in spinal cord transected neonatal swine. Brain Res 1997; 767(2): 380-383.
18. Berne RM, Levy MN. Regulation of the heartbeat. In: Berne RM, Levy MN, editors. Physiology. 3 ed. St. Louis: Mosby, 1993.
19. Malliani A. Principles of cardiovascular neural regulation in health and disease. Boston: Kluwer, 2000.
20. Ten Voorde BJ, Faes JC, Rompelman O. Spectra of data sampled at frequency-modulated rates in application to cardiovascular signals: Part 1. Analytical derivation of the spectra. Med Biol Eng Comput 1994; 32(1):63-70.
21. Chiu HW, Kao T. A mathematical model for autonomic control of heart rate variation. IEEE Eng Med Biol Mag 2001; 20(2):69-76.
22. Saul JP, Berger RD, Albrecht P, Stein SP, Chen MH, Cohen RJ. Transfer function analysis of the circulation: unique insights into cardiovascular regulation. Am J Physiol 1991; 261(4 Pt 2): H1231-H1245.
23. Berne RM, Levy MN. Control of the Cardiac Output: Coupling of heart and blood vessels. In: Berne RM, Levy MN, editors. Physiology. 3 ed. St. Louis: Mosby, 1993.
24. Gnecchi-Ruscone T, Montano N, Contini M, Guazzi M, Lombardi F, Malliani A. Adenosine activates cardiac sympathetic afferent fibers and potentiates the excitation induced by coronary occlusion. J Auton Nerv Syst 1995; 53(2-3):175-184.
25. de Boer RW, Karemaker JM, Strackee J. Relationships between short-term blood-pressure fluctuations and heart-rate variability in resting subjects. II: A simple model. Med Biol Eng Comput 1985; 23(4):359-364.
26. Bernardi L, Hayoz D, Wenzel R, Passino C, Calciati A, Weber R, Noll G. Synchronous and baroreceptor-sensitive oscillations in skin microcirculation: evidence for central autonomic control. Am J Physiol 1997; 273(4 Pt 2):H1867-H1878.
27. Saul JP, Rea RF, Eckberg DL, Berger RD, Cohen RJ. Heart rate and muscle sympathetic nerve variability during reflex changes of autonomic activity. Am J Physiol 1990; 258(3 Pt 2): H713-H721.
28. Pagani M, Montano N, Porta A, Malliani A, Abboud FM, Birkett C, Somers VK. Relationship between spectral components of cardiovascular variabilities and direct measures of muscle sympathetic nerve activity in humans. Circulation 1997; 95(6):1441-1448.
29. Cogliati C, Magatelli R, Montano N, Narkiewicz K, Somers VK. Detection of low- and high-frequency rhythms in the variability of skin sympathetic nerve activity. Am J Physiol Heart Circ Physiol 2000; 278(4):H1256-H1260.
30. Berne RM, Levy MN. The Peripheral circulation and its control. In: Berne RM, Levy MN, editors. Physiology. 3 ed. St. Louis: Mosby, 1993.
31. Smyth HS, Sleight P, Pickering GW. Reflex regulation of arterial pressure during sleep in man. A quantitative method of assessing baroreflex sensitivity. Circ Res 1969; 24(1):109-121.
32. Ten Voorde BJ, Kingma R. A baroreflex model of short term blood pressure and heart rate variability. Stud Health Technol Inform 2000; 71:179-200.
33. Seydnejad SR, Kitney RI. Modeling of Mayer waves generation mechanisms. IEEE Eng Med Biol Mag 2001; 20(2):92-100.
34. Katona PG, Barnett GO, Jackson WD. Computer simulation of the blood pressure control of the heart period. In: Kezdi P, editor. Baroreceptors and Hypertension. Oxford: Pergamon, 1967.
35. Wesseling KH, Settels JJ. Baromodulation explains short-term blood pressure variability. In: Orlebeke JF, Mulder G, Van Doornen LJP, editors. Psychophysiology of Cardiovascular Control. New York: Plenum, 1995.
36. Malliani A, Pagani M, Lombardi F. Positive feedback reflexes. In: Zanchetti A, Tarazzi RC, editors. Handbook of Hypertension. New York: Elsevier, 1986.
37. Guyton AC, Harris JW. Pressorecepto autonomic oscillation: A probable cause of vasomotor waves. Am J Physiol 1951; 170:601-605.
38. Kitney RI. A nonlinear model for studying oscillations in the blood pressure control system. J Biomed Eng 1979; 1(2):89-99.
39. Guzzetti S, Cogliati C, Broggi C, Carozzi C, Caldiroli D, Lombardi F, Malliani A. Influences of neural mechanisms on heart period and arterial pressure variabilities in quadriplegic patients. Am J Physiol 1994; 266(3 Pt 2):H1112-H1120.
40. La Rovere MT, Bigger JT, Marcus FI, Mortara A, Schwartz PJ. Baroreflex sensitivity and heartrate variability in prediction of total cardiac mortality after myocardial infarction. Lancet 1999; 351:478-484.
41. Mortara A, La Rovere MT, Pinna GD, Prpa A, Maestri R, Febo O, Pozzoli M, Opasich C, Tavazzi L. Arterial baroreflex modulation of heat rate in chronic heart failure: clinical and hemodynamic correlates and prognostic implications. Circulation 1997; 96:3450-3458.
42. Eckberg DL, Cavanaugh MS, Mark AL, Abboud FM. A simplified neck suction device for the activation of carotid baroreceptors. J Lab Clin Med 1975; 85:167-173.
43. Pitzalis MV, Mastropasqua F, Passantino A, Massari F, Ligurgo L, Forleo C, Balducci C, Lombardi F, Rizzon P. Comparison between noninvasive indices of baroreceptor sensitivity and the phenylephrine method in post-myocardial infarction patients. Circulation 1998; 97:1362-1367.
44. Patton DJ, Triedman JK, Perrott MH, Vidian AA, Saul JP. Baroreflex gain: characterization using autoregressive moving average analysis. Am J Physiol 1996; 270:H1240-H1249.
45. Lucini D, Porta A, Milani O, Baselli G, Pagani M. Assessing of arterial and cardiopulmonary baroreflex gains from simultaneous recordings of spontaneous cardiovascular and respiratory variability. J Hypertension 2000; 18:281-286.
46. Porta A, Baselli G, Rimoldi O, Malliani A, Pagani M. Assessing baroreflex gain from spontaneous variability in conscious dogs: role of causality and respiration. Am J Physiol 2000; 279:H2558-H2567.
47. Nollo G, Porta A, Faes L, Del Greco M, Disertori M, Ravelli F. Causal linear parametric model for baroreflex gain assessment in patients with recent myocardial infarction. Am J Physiol 2001; 280:H1830-H1839.
48. Ducher M, Cerutti C, Gustin MP, Paultre CZ. Statistical relationships between systolic blood pressure and heart rate and their functional significance in conscious rats. Med Biol Eng Comput 1994; 32:649-655.
49. Porta A, Guzzetti S, Montano N, Pagani M, Somers VK, Malliani A, Baselli G, Cerutti S. Information domain analysis of cardiovascular variability signals: evaluation of regularity, synchronization and coordination. Med Biol Eng Comput 2000; 38:180-188.
50. Bertinieri G, di Rienzo M, Cavallazzi A, Ferrari AU, Pedotti A, Mancia G. A new approach to analysis of the arterial baroreflex. J Hypertension 1985; 3:S79-S81.
51. Pagani M, Somers VK, Furlan R, Dell'Orto S, Conway J, Baselli G, Cerutti S, Sleight P, Malliani A. Changes in autonomic regulation induced by physical training in mild hypertension. Hypertension 1988; 12:600-610.
52. de Boer RW, Karemaker JM, Strackee J. Relationships between short-term blood pressure fluctuations and heart rate variability in resting subjects. I: a spectral analysis approach. Med Biol Eng Comput 1985; 23:352-358.
53. Cooke WH, Hoag JB, Crossman AA, Kuusela TA, Tahvanainen KUO, Eckberg DL. Human responses to upright tilt: a window on central autonomic integration. J Physiol 1999; 517: 617-628.
54. Robbe, HWJ, Mulder LJM, Ruddel H, Langewitz WA, Eldman JBP, Ider G. Assessment of baroreceptor reflex sensitivity by means of spectral analysis. Hypertension 1987; 10:538-543.
55. Berger RD, Akselrod S, Gordon D, Cohen RJ. An effecient algorithm for spectral analysis of heart rate variability. IEEE Trans Biomed Eng 1986; 33:900-904.
56. Mullen TJ, Appel ML, Mukkamala R, Mathias JM, Cohen RJ. System identification of closed-loop cardiovascular control: effects of posture and autonomic blockade. Am J Physiol 1997; 272:H448-H461.
57. di Rienzo M, Castiglioni P, Mancia G, Pedotti A, Parati G. Advancements in estimating baroreflex function. IEEE Eng Med Biol Mag 2001; 20:25-32.
58. Bernardi L, Porta C, Gabutti A, Spicuzza L, Sleight P. Modulatory effects of respiration. Autonom Neurosci Basic Clin 2001; 90:47-56.
59. Lombardi F, Sandrone G, Pernpruner S, Sala R, Garimoldi M, Cerutti S, Baselli G, Pagani M, Malliani A. Heart rate variability as an index of sympathovagal interaction after acute myocardial infarction. Am J Cardiol 1987; 60:1239-1245.
60. Shabetai R, Fowler WO, Gueron M. effect of respiration on aortic pressure and flow. Am. Heart J 1963; 5:523-533.
61. Shabetai R, Fowler NO, Fenton JC, Masangkay M. Pulsus paradoxus. J Clin Invest 1965; 44(11):1882-1898.
62. Hoffman JI, Guz A, Charlier AA, Wilcken DE. Stroke volume in conscious dogs; effect of respiration, posture, and vascular occlusion. J Appl Physiol 1965; 20(5):865-877.
63. Schrijen F, Ehrlich W, Permutt S. Cardiovascular changes in conscious dogs during spontaneous deep breaths. Pflugers Arch 1975; 355(3):205-215.
64. Robotham JL, Lixfeld W, Holland L, MacGregor D, Bryan AC, Rabson J. Effects of respiration on cardiac performance. J Appl Physiol 1978; 44(5):703-709.
65. Summer WR, Permutt S, Sagawa K, Shoukas AA, Bromberger-Barnea B. Effects of spontaneous respiration on canine left ventricular function. Circ Res 1979; 45(6):719-728.
66. Olsen CO, Tyson GS, Maier GW, Davis JW, Rankin JS. Diminished stroke volume during inspiration: a reverse thoracic pump. Circulation 1985; 72(3):668-679.
67. Guntheroth WG, Morgan BC, Mullins GL. Effect of respiration on venous return and stroke volume in cardiac tamponade. Mechanism of pulsus parodoxus. Circ Res 1967; 20(4):381-390.
68. Charlier AA, Jaumin PM, Pouleur H. Circulatory effects of deep inspirations, blocked expirations and positive pressure inflations at equal transpulmonary pressures in conscious dogs. J Physiol 1974; 241(3):589-605.
69. Ruskin J, Bache RJ, Rembert JC, Rembert JC, Greenfield JC Jr. Pressure-flow studies in man: effect of respiration on left ventricular stroke volume. Circulation 1973; 48(1):79-85.
70. Santamore WP, Lynch PR, Meier G, Heckman J, Bove AA. Myocardial interaction between the ventricles. J Appl Physiol 1976; 41(3):362-368.
71. Scharf SM, Brown R, Saunders N, Green LH. Effects of normal and loaded spontaneous inspiration on cardiovascular function. J Appl Physiol 1979; 47(3):582-590.
72. Bove AA, Santamore WP. Ventricular interdependence. Prog Cardiovasc Dis 1981; 23(5):365-388.
73. Robotham JL, Badke FR, Kindred MK, Beaton MK. Regional left ventricular performance during normal and obstructed spontaneous respiration. J Appl Physiol 1983; 55(2):569-577.
74. Santamore WP, Heckman JL, Bove AA. Right and left ventricular pressure-volume response to respiratory maneuvers. J Appl Physiol 1984; 57(5):1520-1527.
75. Robotham JL, Rabson J, Permutt S, Bromberger-Barnea B. Left ventricular hemodynamics during respiration. J Appl Physiol 1979; 47(6):1295-1303.
76. Wise RA, Robotham JL, Summer WR. Effects of spontaneous ventilation on the circulation. Lung 1981; 159(4):175-186.
77. Pinsky MR, Summer WR, Wise RA, Permutt S, Bromberger-Barnea B. Augmentation of cardiac function by elevation of intrathoracic pressure. J Appl Physiol 1983; 54(4):950-955.
78. Snyder MF, Rideout VC. Computer simulation studies of the venous circulation. IEEE Trans Biomed Eng 1969; 16(4):325-334.
79. Sagawa K. Comparative models of overall circulatory mechanics. In: Brown JHV and Dickson FJ, editors. Advances in Biomedical Engineering. London: Acadamic Press, 1973:31-96.
80. Hardy HH, Collins RE, Calvert RE. A digital computer model of the human circulatory system. Med Biol Eng Comput 1982; 20(5):550-564.
81. Amoore JN. Ventricular interdependence and the transient response of the left ventricle to inspiration: a model study. Cardiovasc Res 1987; 21(6):407-415.
82. Amoore JN, Santamore, WP. Model studies of the contribution of ventricular interdependence to the transient changes in ventricular function with respiratory efforts. Cardiovasc Res 1989; 23(8):683-694.
83. Janicki JS, Weber KT. The pericardium and ventricular interaction, distensibility, and function. Am J Physiol 1980; 238(4):H494-H503.
84. Mirsky I. Left ventricular stresses in the intact human heart. Biophys J 1969; 9(2):189-208.
85. Slinker BK, Glantz SA. End-systolic and end-diastolic ventricular interaction. Am J Physiol 1986; 251(5 Pt 2):H1062-H1075.
86. Robotham JL, Mintzner W. A model of the effects of respiration on left ventricular performance. J Appl Physiol 1979; 46(3):411-418.
87. Robotham JL, Stuart RS, Borkon AM, Doherty K, Baumgartner W. Effects of changes in left ventricular loading and pleural pressure on mitral flow. J Appl Physiol 1988; 65(4):1662-1675.
88. Peters J, Kindred MK, Robotham JL. Transient analysis of cardiopulmonary interactions. II. Systolic events. J Appl Physiol 1988; 64(4):1518-1526.
89. Peters J, Kindred MK, Robotham JL. Transient analysis of cardiopulmonary interactions. I. Diastolic events. J Appl Physiol 1988; 64(4):1506-1517.
90. Peters J, Fraser C, Stuart RS, Baumgartner W, Robotham JL. Negative intrathoracic pressure decreases independently left ventricular filling and emptying. Am J Physiol 1989; 257(1 Pt 2): H120-H131.
91. Ashton JH, Cassidy, SS. Reflex depression of cardiovascular function during lung inflation. J Appl Physiol 1985; 58(1):137-145.
92. Buda AJ, Pinsky MR, Ingels NB Jr., Daughters GT, Stinson EB, Alderman EL. Effect of intrathoracic pressure on left ventricular performance. N Engl J Med 1979; 301(9):453-459.
93. Magder SA, Lichtenstein S, Adelman AG. Effect of negative pleural pressure on left ventricular hemodynamics. Am J Cardiol 1983; 52(5):588-593.
94. Brinker JA, Weiss JL, Lappe DL, Rabson JL, Summer WR, Permutt S, Weisfeldt ML. Leftward septal displacement during right ventricular loading in man. Circulation 1980; 61(3):626-633.
95. Brenner JI, Waugh, RA. Effect of phasic respiration on left ventricular dimension and performance in a normal population. An echocardiographic study. Circulation 1978; 57(1):122-127.
96. Andersen K, Vik-Mo, H. Effects of spontaneous respiration on left ventricular function assessed by echocardiography. Circulation 1984; 69(5):874-879.
97. Kim BH, Ishida Y, Tsuneoka Y, Matsubara N, Hiraoka T, Takeda H, Inoue M, Kamada T, Kimura K, Kozuka T. Effects of spontaneous respiration on right and left ventricular function: evaluation by respiratory and ECG gated radionuclide ventriculography. J Nucl Med 1987; 28(2):173-177.
98. Wandt B, Bojo L, Wranne B. Long and short axis dimensions of the left ventricle change in opposite ways during respiration. Acta Physiol Scand 1998; 162(1):9-12.
99. Norgard G, Vik-Mo H. Effects of respiration on right ventricular size and function: an echocardiographic study. Pediatr Cardiol 1992; 13(3):136-140.
100. Karam M, Wise RA, Natarajan TK, Permutt S, Wagner HN. Mechanism of decreased left ventricular stroke volume during inspiration in man. Circulation 1984; 69(5):866-873.
101. Natarajan TK, Wise RA, Karam M, Permutt S, Wagner HN Jr. Immediate effect of expiratory loading on left ventricular stroke volume. Circulation 1987; 75(1):139-145.
102. Karlocai K, Jokkel G, Kollai M. Changes in left ventricular contractility with the phase of respiration. J Autonom Nerv Syst 1998; 73(2-3):86-92.
103. Perez JE, Klein SC, Prater DM, Fraser CE, Cardona H, Waggoner AD, Holland MR, Miller JG, Sobel BE. Automated online quantification of left ventricular dimensions and function by echocardiography with backscatter imaging and lateral gain compensation. Am J Cardiol 1992; 70(13):1200-1205.
104. Bednarz JE, Marcus RH, Lang RM. Technical guidelines for performing automated border detection studies. J Am Soc Echocardiogr 1995; 8:293-305.
105. Mor-Avi V, Gillesberg IE, Korcarz C, Sandelski J, Lang RM. Improved quantification of left ventricular function by applying signal averaging to echocardiographic acoustic quantification. J Am Soc Echocardiogr 1995; 8:679-689.
106. Mor-Avi V, Vignon P, Bales AC, Spencer KT, Lang RM. Acoustic quantification indexes of left ventricular size and function: effects of signal averaging. J Am Soc Echocardiogr 1998; 11: 792-802.
107. Akselrod S, Amitayt Y, Lang RM, Mor-Avi V, Keselbrener L. Spectral analysis of left ventricular area variability as a tool to improve the understanding of cardiac autonomic control. Physiol Meas 2000; 21(2):319-331.
108. Caiani EG, Turiel M, Muzzupappa S, Porta A, BaseUi G, Pagani M, Cerutti S, Malliani A. Evaluation of respiratory influences on left ventricular function parameters extracted from echocardiographic acoustic quantification. Physiol Meas 2000; 21(1):175-186.
109. Guevara MR, Shrier A, Glass L. Phase-locked rhythms in periodically stimulated heart cells aggregates. Am J Physiol 1988; 254:H1-H10.
110. Rabinovich MI, Abarbanel HDI. role of chaos in neural systems. Neuroscience 1998; 87(1): 5-14.
111. Glass L, Mackey MC. From clock to chaos. The rhythms of life. Princeton NJ: University Press, 1988.
112. Porta A, Baselli G, Montano N, Gnecchi-Ruscone T, Lombardi F, Malliani A, Cerutti S. Classification of coupling patterns among spontaneous rhythms and ventilation in the sympathetic discharge of decerebrate cats. Biol Cybernet 1996; 75:163-172.
113. Cavalcanti S, Ursino M. Chaotic oscillations in microvessel arterial networks. Ann Biomed Eng 1996; 24(1):37-47.
114. Cavalcanti S. Arterial baroreflex influence on heart rate variability: a mathematical model-based analysis. Med Biol Eng Comput 2000; 38(2):189-197.
115. Eyal S, Akselrod S. Bifurcation in a simple model of the cardiovascular system. Methods Inf Med 2000; 39(2):118-121.
116. Kuznetsov Y. Elements of applied bifurcation theory. New York, Berlin, Heidelberg, Springer-Verlag, 1995.
117. Kalman RE. On the general theory of control systems. Proc. 1st IFAC Congr. London: Butterworth's 1960:481-491.
118. Eckman JP, Ruelle D. Ergodic theory of chaos and strange attractors. Rev Modern Phys 1985; 57:617-656.
119. Kaplan D, Glass L. Understanding nonlinear dynamics. New York: Springer-Verlag, 1995.
120. Parker TS, Chua LO. Chaos: a tutorial for engineers. Proc IEEE 1987; 75:982-1008.
121. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica D 1983; 9: 189-208.
122. Abarbanel HDI, Brown R, Sidorowich JJ, Tsimring LS. The analysis of observed chaotic data in physical systems. Rev Modern Phys 1993; 65(4):1331-1392.
123. Linkens DA, Kitney RI. Mode analysis of physiological oscillators intercoupled via pure time delays. Bull of Math Biol 1982; 44(1):57-74.
124. Kitney RI, Sellman A, McDonald A. The interaction between heart rate and respiration. Part II - Nonlinear analysis based on computer modeling. Automedica 1982; 4:141-153.
125. Signorini MG, Cerutti S. Bifurcation analysis of a physiological model of the baroreceptive control. In: Frontiers of Blood Pressure and Heart Rate Analysis. Amsterdam: IOS Press, 1997.
126. Scher AM, Young AC. Servo analysis of carotid sinus reflex effects of peripheral resistances. Circ Res 1976; 12:152-162.
127. de Boer RW, Karemaker JM, Strackee J. Hemodynamic fluctuations and baroreflex sensitivity in humans: a beat to beat model. Am J Physiol 1987; 253:680-689.