메뉴 건너뛰기




Volumn 3, Issue , 2009, Pages 110-123

Deterministic chaos and fractal complexity in the dynamics of cardiovascular behavior: Perspectives on a new frontier

Author keywords

Blood pressure; Cardiac conduction; Chaos theory; Circadian rhythms; Complexity; Emergence; Evolution; Fractal mathematics; Heart function; Metabolism; Network analysis; Physiological time; Self organization; Systems biology; Temperospatial organization; Ultradian rhythms; Vascular function; Vasomotion

Indexed keywords

BLOOD FLOW; BLOOD PRESSURE; BLOOD VESSEL FUNCTION; CARDIOVASCULAR SYSTEM; CELL LEVEL; CHAOS THEORY; CHAOTIC DYNAMICS; CIRCADIAN RHYTHM; FRACTAL ANALYSIS; HEART ELECTROPHYSIOLOGY; HEART FUNCTION; HEART RATE VARIABILITY; HUMAN; NONHUMAN; PRIORITY JOURNAL; PURKINJE FIBER; REVIEW;

EID: 77953391669     PISSN: None     EISSN: 18741924     Source Type: Journal    
DOI: 10.2174/1874192400903010110     Document Type: Review
Times cited : (62)

References (112)
  • 2
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz EN. Deterministic nonperiodic flow. Am Meteorol Soc J 1963; 20: 130-141
    • (1963) Am Meteorol Soc J , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 3
    • 0003266759 scopus 로고
    • Thermodynamic formalism: The mathematical structures of classical equilibrium statistical mechanics
    • Rota GC, Eds. Menlo Park, California: Addison-Wesley
    • Ruelle D, Takens F. Thermodynamic formalism: the mathematical structures of classical equilibrium statistical mechanics. In: Rota GC, Eds. Encyclopedia of Mathematics and its Applications. Menlo Park, California: Addison-Wesley 1978.
    • (1978) Encyclopedia of Mathematics and Its Applications
    • Ruelle, D.1    Takens, F.2
  • 5
    • 0025067397 scopus 로고
    • Chaos and fractals in human physiology
    • Goldberger AL, Rigney DR, West BJ. Chaos and fractals in human physiology. Sci Am 1990; 262: 42-49
    • (1990) Sci Am , vol.262 , pp. 42-49
    • Goldberger, A.L.1    Rigney, D.R.2    West, B.J.3
  • 6
    • 42549102825 scopus 로고    scopus 로고
    • Chaotic behavior of the coronary circulation
    • Trzeciakowski J, Chilian WM. Chaotic behavior of the coronary circulation. Med Biol Eng Comput 2008; 46: 433-442
    • (2008) Med Biol Eng Comput , vol.46 , pp. 433-442
    • Trzeciakowski, J.1    Chilian, W.M.2
  • 9
    • 3042696930 scopus 로고    scopus 로고
    • Applications of fractal and non-linear time series analysis to the study of short-term cardiovascular control
    • DOI 10.2174/1570161043476401
    • Gonzalez JJ, Pereda E. Applications of fractal and non-linear time series analysis to the study of short-term cardiovascular control. Curr Vasc Pharmacol 2004; 2: 149-162 (Pubitemid 38855023)
    • (2004) Current Vascular Pharmacology , vol.2 , Issue.2 , pp. 149-162
    • Gonzalez, J.J.1    Pereda, E.2
  • 14
    • 0022558851 scopus 로고
    • Beyond the principal of similitude: Renormalization in the bronchial tree
    • West BJ, Bhargava V, Goldberger AL. Beyond the principle of similitude: renormalization in the bronchial tree. J Appl Physiol 1986; 60: 1089-1097 (Pubitemid 16013280)
    • (1986) Journal of Applied Physiology , vol.60 , Issue.3 , pp. 1089-1097
    • West, B.J.1    Bhargava, V.2    Goldberger, A.L.3
  • 16
    • 0026018798 scopus 로고
    • A model of ion channel kinetics using deterministic chaotic rather than stochastic processes
    • Liebovitch LS, Toth TI. A model of ion channel kinetics using deterministic chaotic rather than stochastic processes. J Theor Biol 1991; 148: 243-267
    • (1991) J Theor Biol , vol.148 , pp. 243-267
    • Liebovitch, L.S.1    Toth, T.I.2
  • 17
    • 0019479675 scopus 로고
    • Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensions
    • Paumgartner D, Losa G, Weibel ER. Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensions. J Microsci 1981; 121: 51-63.
    • (1981) J Microsci , vol.121 , pp. 51-63
    • Paumgartner, D.1    Losa, G.2    Weibel, E.R.3
  • 19
    • 0036889795 scopus 로고    scopus 로고
    • Time after time: Inputs to and outputs from the mammalian circadian oscillators
    • DOI 10.1016/S0166-2236(02)02274-9, PII S0166223602022749
    • Morse D, Sassone-Corsi P. Time after time: inputs to and outputs from the mammalian circadian oscillators. Trends Neurosci 2002; 25: 632-637 (Pubitemid 35356511)
    • (2002) Trends in Neurosciences , vol.25 , Issue.12 , pp. 632-637
    • Morse, D.1    Sassone-Corsi, P.2
  • 22
    • 0033637383 scopus 로고    scopus 로고
    • Restricted feeding uncouples circadian oscillators in peripheral tissues from the central pacemaker in the suprachiasmatic nucleus
    • Damiola F, Le Minh N, Preitner N, Kornmann B, Fleury-Olela F, Schibler U. Restricted feeding uncouples circadian oscillators in peripheral tissues from the central pacemaker in the suprachiasmatic nucleus. Genes Dev 2000; 14: 2950-2961
    • (2000) Genes Dev , vol.14 , pp. 2950-2961
    • Damiola, F.1    Le Minh, N.2    Preitner, N.3    Kornmann, B.4    Fleury-Olela, F.5    Schibler, U.6
  • 23
    • 0025993870 scopus 로고
    • Circadian variation and cardiovascular disease
    • Muller JE, Tofler GH. Circadian variation and cardiovascular disease. N Engl J Med 1991; 325: 1038-1039
    • (1991) N Engl J Med , vol.325 , pp. 1038-1039
    • Muller, J.E.1    Tofler, G.H.2
  • 25
    • 0035827721 scopus 로고    scopus 로고
    • Clock genes in the heart: Characterization and attenuation with hypertrophy
    • Young ME, Razeghi P, Taegtmeyer H. Clock genes in the heart: characterization and attenuation with hypertrophy. Circ Res 2001; 88: 1142-1150 (Pubitemid 34132514)
    • (2001) Circulation Research , vol.88 , Issue.11 , pp. 1142-1150
    • Young, M.E.1    Razeghi, P.2    Taegtmeyer, H.3
  • 27
    • 0032841767 scopus 로고    scopus 로고
    • Jet-lag and shift work: (1). Circadian rhythms
    • Waterhouse J. Jet-lag and shift work: (1). Circadian rhythms. J R Soc Med 1999; 92: 398-401.
    • (1999) J R Soc Med , Issue.92 , pp. 398-401
    • Waterhouse, J.1
  • 28
    • 35548949484 scopus 로고    scopus 로고
    • The daily timing of gene expression and physiology in mammals
    • Schibler U. The daily timing of gene expression and physiology in mammals. Dialogues Clin Neurosci 2007; 9: 257-272 (Pubitemid 350017429)
    • (2007) Dialogues in Clinical Neuroscience , vol.9 , Issue.3 , pp. 257-272
    • Schibler, U.1
  • 29
    • 0023405306 scopus 로고
    • Fractals in physiology and medicine
    • Goldberger AL, West BJ. Fractals in physiology and medicine. Yale J Biol Med 1987; 60: 421-435
    • (1987) Yale J Biol Med , vol.60 , pp. 421-435
    • Goldberger, A.L.1    West, B.J.2
  • 30
    • 0022352297 scopus 로고
    • The organism as bioreactor. Interpretation of the reduction law of metabolism in terms of heterogeneous catalysis and fractal structure
    • DOI 10.1016/S0022-5193(85)80218-6
    • Sernetz M, Gelleri B, Hofmann J. The organism as bioreactor. Interpretation of the reduction law of metabolism in terms of heterogeneous catalysis and fractal structure. J Theor Biol 1985; 117:209-230 (Pubitemid 16233791)
    • (1985) Journal of Theoretical Biology , vol.117 , Issue.2 , pp. 209-230
    • Sernetz, M.1    Gelleri, B.2    Hofmann, J.3
  • 31
    • 0000205972 scopus 로고
    • The physiological principle of minimum work: I. the vascular system and the cost of blood volume
    • Murray CD. The physiological principle of minimum work: i. the vascular system and the cost of blood volume. Proc Natl Acad Sci USA 1926; 12: 207-214
    • (1926) Proc Natl Acad Sci USA , vol.12 , pp. 207-214
    • Murray, C.D.1
  • 32
    • 4544298453 scopus 로고    scopus 로고
    • Fractal analysis of the vascular tree in the human retina
    • DOI 10.1146/annurev.bioeng.6.040803.140100
    • Masters BR. Fractal analysis of the vascular tree in the human retina. Annu Rev Biomed Eng 2004; 6: 427-452 (Pubitemid 39213987)
    • (2004) Annual Review of Biomedical Engineering , vol.6 , pp. 427-452
    • Masters, B.R.1
  • 33
    • 33644855146 scopus 로고    scopus 로고
    • Scaling laws of vascular trees: Of form and function
    • Kassab GS. Scaling laws of vascular trees: of form and function. Am J Physiol Heart Circ Physiol 2006; 290: H894-903.
    • (2006) Am J Physiol Heart Circ Physiol , vol.290
    • Kassab, G.S.1
  • 34
    • 0019974098 scopus 로고
    • Interspecies scaling, allometry, physiological time, and the ground plan of pharmacokinetics
    • DOI 10.1007/BF01062336
    • Boxenbaum H. Interspecies scaling, allometry, physiological time, and the ground plan of pharmacokinetics. J Pharmacokinet Biopharm 1982; 10: 201-227 (Pubitemid 12044187)
    • (1982) Journal of Pharmacokinetics and Biopharmaceutics , vol.10 , Issue.2 , pp. 201-227
    • Boxenbaum, H.1
  • 36
    • 0030932272 scopus 로고    scopus 로고
    • A general model for the origin of allometric scaling laws in biology
    • DOI 10.1126/science.276.5309.122
    • West GB, Brown JH, Enquist BJ. A general model for the origin of allometric scaling laws in biology. Science 1997; 276: 122-126 (Pubitemid 27161259)
    • (1997) Science , vol.276 , Issue.5309 , pp. 122-126
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 37
    • 0033522952 scopus 로고    scopus 로고
    • The fourth dimension of life: Fractal geometry and allometric scaling of organisms
    • West GB, Brown JH, Enquist BJ. The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science 1999; 284: 1677-1679
    • (1999) Science , vol.284 , pp. 1677-1679
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 38
    • 0027963507 scopus 로고
    • Regional myocardial flow and capillary permeability-surface area products are nearly proportional
    • Caldwell JH, Martin GV, Raymond GM, Bassingthwaighte JB. Regional myocardial flow and capillary permeability-surface area products are nearly proportional. Am J Physiol 1994; 267: H654-66.
    • (1994) Am J Physiol , vol.267
    • Caldwell, J.H.1    Martin, G.V.2    Raymond, G.M.3    Bassingthwaighte, J.B.4
  • 39
    • 0027281867 scopus 로고
    • Correlation of heterogeneous blood flow and fatty acid uptake in the normal dog heart
    • Groeneveld AB, Visser FC. Correlation of heterogeneous blood flow and fatty acid uptake in the normal dog heart. Basic Res Cardiol 1993; 88: 223-232
    • (1993) Basic Res Cardiol , vol.88 , pp. 223-232
    • Groeneveld, A.B.1    Visser, F.C.2
  • 41
    • 0021858930 scopus 로고
    • Stability of heterogeneity of myocardial blood flow in normal awake baboons
    • King RB, Bassingthwaighte JB, Hales JR, Rowell LB. Stability of heterogeneity of myocardial blood flow in normal awake baboons. Circ Res 1985; 57: 285-295
    • (1985) Circ Res , vol.57 , pp. 285-295
    • King, R.B.1    Bassingthwaighte, J.B.2    Hales, J.R.3    Rowell, L.B.4
  • 43
    • 16744365333 scopus 로고
    • Blood flow and high-energy phosphates in microregions of left ventricular subendocardium
    • Kleinert HD, Weiss HR. Blood flow and high-energy phosphates in microregions of left ventricular subendocardium. Am J Physiol 1981; 240: H804-10.
    • (1981) Am J Physiol , vol.240
    • Kleinert, H.D.1    Weiss, H.R.2
  • 44
    • 0022519496 scopus 로고
    • Regional comparison of midwall segment and area shortening in the canine left ventricle
    • Lew WY, LeWinter MM. Regional comparison of midwall segment and area shortening in the canine left ventricle. Circ Res 1986; 58: 678-691
    • (1986) Circ Res , vol.58 , pp. 678-691
    • Lew, W.Y.1    LeWinter, M.M.2
  • 46
    • 0035202689 scopus 로고    scopus 로고
    • Assessing heterogeneous distribution of blood flow and metabolism in the heart
    • Groeneveld AB, van Beek JH, Alders DJ. Assessing heterogeneous distribution of blood flow and metabolism in the heart. Basic Res Cardiol 2001; 96: 575-581
    • (2001) Basic Res Cardiol , vol.96 , pp. 575-581
    • Groeneveld, A.B.1    Van Beek, J.H.2    Alders, D.J.3
  • 48
    • 0024212128 scopus 로고
    • Effective diameter as a determinant of local vascular resistance in presence of vasomotion
    • Slaaf DW, Vrielink HH, Tangelder GJ, Reneman RS. Effective diameter as a determinant of local vascular resistance in presence of vasomotion. Am J Physiol 1988; 255: H1240-3.
    • (1988) Am J Physiol , vol.255
    • Slaaf, D.W.1    Vrielink, H.H.2    Tangelder, G.J.3    Reneman, R.S.4
  • 49
    • 0026713874 scopus 로고
    • Periodic hemodynamics in skeletal muscle during local arterial pressure reduction
    • Schmidt JA, Intaglietta M, Borgstrom P. Periodic hemodynamics in skeletal muscle during local arterial pressure reduction. J Appl Physiol 1992; 73: 1077-1083
    • (1992) J Appl Physiol , vol.73 , pp. 1077-1083
    • Schmidt, J.A.1    Intaglietta, M.2    Borgstrom, P.3
  • 50
    • 0001726823 scopus 로고
    • Chaotic pulsation in human capillary vessels and its dependence on mental and physical conditions
    • Tsuda I, Tahara T, Iwanaga H. Chaotic pulsation in human capillary vessels and its dependence on mental and physical conditions. In J Bifurcat Chaos 1992; 2: 313-324
    • (1992) In J Bifurcat Chaos , vol.2 , pp. 313-324
    • Tsuda, I.1    Tahara, T.2    Iwanaga, H.3
  • 53
    • 0035160527 scopus 로고    scopus 로고
    • NO synthase blockade induces chaotic cerebral vasomotion via activation of thromboxane receptors
    • Lacza Z, Herman P, Gorlach C, et al. NO synthase blockade induces chaotic cerebral vasomotion via activation of thromboxane receptors. Stroke 2001; 32: 2609-2614
    • (2001) Stroke , vol.32 , pp. 2609-2614
    • Lacza, Z.1    Herman, P.2    Gorlach, C.3
  • 54
    • 0029984340 scopus 로고    scopus 로고
    • Comparison of chaotic and sinusoidal vasomotion in the regulation of microvascular flow
    • DOI 10.1016/0008-6363(95)00123-9
    • Parthimos D, Edwards DH, Griffith TM. Comparison of chaotic and sinusoidal vasomotion in the regulation of microvascular flow. Cardiovasc Res 1996; 31: 388-399 (Pubitemid 26106119)
    • (1996) Cardiovascular Research , vol.31 , Issue.3 , pp. 388-399
    • Parthimos, D.1    Edwards, D.H.2    Griffith, T.M.3
  • 55
    • 33750699032 scopus 로고    scopus 로고
    • Nonlinear analysis of BP signal. Can it detect malfunctions in BP control?
    • Almog Y, Eliash S, Oz O, Akselrod S. Nonlinear analysis of BP signal. Can it detect malfunctions in BP control? Am J Physiol 1996; 271: H396-403.
    • (1996) Am J Physiol , vol.271
    • Almog, Y.1    Eliash, S.2    Oz, O.3    Akselrod, S.4
  • 56
    • 0028930627 scopus 로고
    • Nonlinear chaotic dynamics of arterial blood pressure and renal blood flow
    • Wagner CD, Persson PB. Nonlinear chaotic dynamics of arterial blood pressure and renal blood flow. Am J Physiol 1995; 268: H621-7.
    • (1995) Am J Physiol , vol.268
    • Wagner, C.D.1    Persson, P.B.2
  • 60
    • 0028841436 scopus 로고
    • Complexity and "chaos" in blood pressure after baroreceptor denervation of conscious dogs
    • Wagner CD, Mrowka R, Nafz B, Persson PB. Complexity and "chaos" in blood pressure after baroreceptor denervation of conscious dogs. Am J Physiol 1995; 269: H1760-6. (Pubitemid 3005973)
    • (1995) The American Journal of Physiology , vol.269 , Issue.52
    • Wagner, C.D.1    Mrowka, R.2    Nafz, B.3    Persson, P.B.4
  • 62
    • 0029868786 scopus 로고    scopus 로고
    • Characterization of complex heart rate dynamics and their pharmacological disorders by non-linear prediction and special data transformations
    • DOI 10.1016/0008-6363(95)00086-0
    • Hoyer D, Schmidt K, Zwiener U, Bauer R. Characterization of complex heart rate dynamics and their pharmacological disorders by non-linear prediction and special data transformations. Cardiovasc Res 1996; 31: 434-440 (Pubitemid 26106122)
    • (1996) Cardiovascular Research , vol.31 , Issue.3 , pp. 434-440
    • Hoyer, D.1    Schmidt, K.2    Zwiener, U.3    Bauer, R.4
  • 65
    • 0029973544 scopus 로고    scopus 로고
    • Power law behavior of RR-interval variability in healthy middle-aged persons, patients with recent acute myocardial infarction, and patients with heart transplants
    • Bigger JT, Jr., Steinman RC, Rolnitzky LM, Fleiss JL, Albrecht P, Cohen RJ. Power law behavior of RR-interval variability in healthy middle-aged persons, patients with recent acute myocardial infarction, and patients with heart transplants. Circulation 1996; 93:2142-2151 (Pubitemid 26187104)
    • (1996) Circulation , vol.93 , Issue.12 , pp. 2142-2151
    • Bigger Jr., J.T.1    Steinman, R.C.2    Rolnitzky, L.M.3    Fleiss, J.L.4    Albrecht, P.5    Cohen, R.J.6
  • 67
    • 0035141940 scopus 로고    scopus 로고
    • Reversal of deteriorated fractal behavior of heart rate variability by beta blocker therapy in patients with advanced congestive heart failure
    • Lin LY, Lin JL, Du CC, Lai LP, Tseng YZ, Huang SK. Reversal of deteriorated fractal behavior of heart rate variability by beta blocker therapy in patients with advanced congestive heart failure. J Cardiovasc Electrophysiol 2001; 12: 26-32.
    • (2001) J Cardiovasc Electrophysiol , vol.12 , pp. 26-32
    • Lin, L.Y.1    Lin, J.L.2    Du, C.C.3    Lai, L.P.4    Tseng, Y.Z.5    Huang, S.K.6
  • 71
    • 0347926339 scopus 로고    scopus 로고
    • Heart rate variability and recurrence of atrial fibrillation after electrical cardioversion
    • DOI 10.1080/07853890310004110
    • Vikman S, Makikallio TH, Yli-Mayry S, Nurmi M, Airaksinen KE, Huikuri HV. Heart rate variability and recurrence of atrial fibrillation after electrical cardioversion. Ann Med 2003; 35: 36-42. (Pubitemid 36356872)
    • (2003) Annals of Medicine , vol.35 , Issue.1 , pp. 36-42
    • Vikman, S.1    Makikallio, T.H.2    Yli-Mayry, S.3    Nurmi, M.4    Airaksinen, K.E.J.5    Huikuri, H.V.6
  • 72
    • 0345628583 scopus 로고    scopus 로고
    • Fractal analysis of heart rate dynamics as a predictor of mortality in patients with depressed left ventricular function after acute myocardial infarction
    • TRACE Investigators. TRAndolapril Cardiac Evaluation
    • Makikallio TH, Hoiber S, Kober L, et al. Fractal analysis of heart rate dynamics as a predictor of mortality in patients with depressed left ventricular function after acute myocardial infarction. TRACE Investigators. TRAndolapril Cardiac Evaluation. Am J Cardiol 1999; 83: 836-839
    • (1999) Am J Cardiol , vol.83 , pp. 836-839
    • Makikallio, T.H.1    Hoiber, S.2    Kober, L.3
  • 73
    • 0342445412 scopus 로고    scopus 로고
    • Fractal correlation properties of R-R interval dynamics and mortality in patients with depressed left ventricular function after an acute myocardial infarction
    • Huikuri HV, Makikallio TH, Peng CK, Goldberger AL, Hintze U, Moller M. Fractal correlation properties of R-R interval dynamics and mortality in patients with depressed left ventricular function after an acute myocardial infarction. Circulation 2000; 101: 47-53. (Pubitemid 30039075)
    • (2000) Circulation , vol.101 , Issue.1 , pp. 47-53
    • Huikuri, H.V.1    Makikallio, T.H.2    Peng, C.-K.3    Goldberger, A.L.4    Hintze, U.5    Moller, M.6
  • 79
    • 8744233515 scopus 로고
    • A Gentle Scheme for Unleashing Chaos
    • Regalado A. A Gentle Scheme for Unleashing Chaos. Science 1995; 268: 1848.
    • (1995) Science , vol.268 , pp. 1848
    • Regalado, A.1
  • 81
    • 0029434863 scopus 로고
    • Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
    • Peng CK, Havlin S, Stanley HE, Goldberger AL. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1995; 5: 82-87
    • (1995) Chaos , vol.5 , pp. 82-87
    • Peng, C.K.1    Havlin, S.2    Stanley, H.E.3    Goldberger, A.L.4
  • 82
    • 0030762575 scopus 로고    scopus 로고
    • Predicting survival in heart failure case and control subjects by use of fully automated methods for deriving nonlinear and conventional indices of heart rate dynamics
    • Ho KK, Moody GB, Peng CK, et al. Predicting survival in heart failure case and control subjects by use of fully automated methods for deriving nonlinear and conventional indices of heart rate dynamics. Circulation 1997; 96: 842-848
    • (1997) Circulation , vol.96 , pp. 842-848
    • Ho, K.K.1    Moody, G.B.2    Peng, C.K.3
  • 83
    • 0035312353 scopus 로고    scopus 로고
    • Prediction of sudden cardiac death by fractal analysis of heart rate variability in elderly subjects
    • DOI 10.1016/S0735-1097(01)01171-8, PII S0735109701011718
    • Makikallio TH, Huikuri HV, Makikallio A, et al. Prediction of sudden cardiac death by fractal analysis of heart rate variability in elderly subjects. J Am Coll Cardiol 2001; 37: 1395-1402 (Pubitemid 32295604)
    • (2001) Journal of the American College of Cardiology , vol.37 , Issue.5 , pp. 1395-1402
    • Ahmad, M.1    Xie, T.2    McCulloch, M.3    Abreo, G.4    Runge, M.5
  • 86
    • 0038324366 scopus 로고    scopus 로고
    • Practical applications of chaos theory to the modulation of human ageing: Nature prefers chaos to regularity
    • DOI 10.1023/A:1023306419861
    • Kyriazis M. Practical applications of chaos theory to the modulation of human ageing: nature prefers chaos to regularity. Biogerontology 2003; 4: 75-90. (Pubitemid 36592744)
    • (2003) Biogerontology , vol.4 , Issue.2 , pp. 75-90
    • Kyriazis, M.1
  • 87
    • 0021401515 scopus 로고
    • Nonlinear dynamics in heart failure: Implications of long-wavelength cardiopulmonary oscillations
    • Goldberger AL, Findley LJ, Blackburn MR, Mandell AJ. Nonlinear dynamics in heart failure: implications of long-wavelength cardiopulmonary oscillations. Am Heart J 1984; 107: 612-615
    • (1984) Am Heart J , vol.107 , pp. 612-615
    • Goldberger, A.L.1    Findley, L.J.2    Blackburn, M.R.3    Mandell, A.J.4
  • 88
    • 0027985476 scopus 로고
    • Role of chaotic dynamics in neural plasticity
    • Freeman WJ. Role of chaotic dynamics in neural plasticity. Prog Brain Res 1994; 102: 319-333
    • (1994) Prog Brain Res , vol.102 , pp. 319-333
    • Freeman, W.J.1
  • 89
    • 0037614869 scopus 로고    scopus 로고
    • Nonlinear dynamics, fractals and chaos theory: Implications for neuroautonomic heart rate control in health and disease
    • Bolis CL, Licinio J, Eds. Geneva: The World Health Organization
    • Goldberger AL. Nonlinear dynamics, fractals and chaos theory: implications for neuroautonomic heart rate control in health and disease. In: Bolis CL, Licinio J, Eds. The Autonomic Nervous System. Geneva: The World Health Organization 1999.
    • (1999) The Autonomic Nervous System
    • Goldberger, A.L.1
  • 90
    • 0021381913 scopus 로고
    • Discontinuities in phase-resetting experiments
    • Glass L, Winfree AT. Discontinuities in phase-resetting experiments. Am J Physiol 1984; 246: R251-8.
    • (1984) Am J Physiol , vol.246
    • Glass, L.1    Winfree, A.T.2
  • 91
    • 0002489152 scopus 로고
    • Chaotic cardiac rhythms
    • Holden AV, editor. Princeton: Princeton University Press
    • Glass L, Shrier A, Belair J. Chaotic cardiac rhythms. In: Holden AV, editor. Chaos. Princeton: Princeton University Press 1986; pp. 237-256
    • (1986) Chaos , pp. 237-256
    • Glass, L.1    Shrier, A.2    Belair, J.3
  • 92
    • 0000670820 scopus 로고    scopus 로고
    • On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis
    • DOI 10.1063/1.166330, Chaos and Irreversibility
    • Govindan RB, Narayanan K, Gopinathan MS. On the evidence of deterministic chaos in ECG: surrogate and predictability analysis. Chaos 1998; 8: 495-502. (Pubitemid 128088233)
    • (1998) Chaos , vol.8 , Issue.2 , pp. 495-502
    • Govindan, R.B.1    Narayanan, K.2    Gopinathan, M.S.3
  • 94
    • 0029037739 scopus 로고
    • Protein molecules as computational elements in living cells
    • Bray D. Protein molecules as computational elements in living cells. Nature 1995; 376: 307-312
    • (1995) Nature , vol.376 , pp. 307-312
    • Bray, D.1
  • 95
    • 0033555859 scopus 로고    scopus 로고
    • Emergent properties of networks of biological signaling pathways
    • Bhalla US, Iyengar R. Emergent properties of networks of biological signaling pathways. Science 1999; 283: 381-387 (Pubitemid 129501099)
    • (1999) Science , vol.283 , Issue.5400 , pp. 381-387
    • Bhalla, U.S.1    Iyengar, R.2
  • 98
    • 0037174638 scopus 로고    scopus 로고
    • Systems biology. Life's complexity pyramid
    • Oltvai ZN, Barabasi AL. Systems biology. Life's complexity pyramid. Science 2002; 298: 763-764
    • (2002) Science , vol.298 , pp. 763-764
    • Oltvai, Z.N.1    Barabasi, A.L.2
  • 99
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabasi AL, Albert R. Emergence of scaling in random networks. Science 1999; 286: 509-512
    • (1999) Science , vol.286 , pp. 509-512
    • Barabasi, A.L.1    Albert, R.2
  • 100
    • 33845585832 scopus 로고    scopus 로고
    • Thematic review series: Systems biology approaches to metabolic and cardiovascular disorders: Network perspectives of cardiovascular metabolism
    • DOI 10.1194/jlr.R600023-JLR200
    • Weiss JN, Yang L, Qu Z. Systems biology approaches to metabolic and cardiovascular disorders: network perspectives of cardiovascular metabolism. J Lipid Res 2006; 47: 2355-2366 (Pubitemid 44936097)
    • (2006) Journal of Lipid Research , vol.47 , Issue.11 , pp. 2355-2366
    • Weiss, J.N.1    Yang, L.2    Qu, Z.3
  • 101
    • 0022371109 scopus 로고
    • Input-response relationships in the dynamics of glycolysis
    • Santiago
    • Markus M, Hess B. Input-response relationships in the dynamics of glycolysis. Arch Biol Med Exp (Santiago) 1985; 18: 261-271
    • (1985) Arch Biol Med Exp , vol.18 , pp. 261-271
    • Markus, M.1    Hess, B.2
  • 102
    • 0021758869 scopus 로고
    • Chaotic dynamics in yeast glycolysis under periodic substrate input flux
    • Markus M, Kuschmitz D, Hess B. Chaotic dynamics in yeast glycolysis under periodic substrate input flux. FEBS Lett 1984; 172: 235-238
    • (1984) FEBS Lett , vol.172 , pp. 235-238
    • Markus, M.1    Kuschmitz, D.2    Hess, B.3
  • 103
    • 32144458224 scopus 로고    scopus 로고
    • Direct cell-cell communication: A new approach derived from recent data on the nature and self-organisation of ultradian (circahoralian) intracellular rhythms
    • Brodsky VY. Direct cell-cell communication: a new approach derived from recent data on the nature and self-organisation of ultradian (circahoralian) intracellular rhythms. Biol Rev Camb Philos Soc 2006; 81: 143-162
    • (2006) Biol Rev Camb Philos Soc , vol.81 , pp. 143-162
    • Brodsky, V.Y.1
  • 104
    • 0025069090 scopus 로고
    • The chemical basis of morphogenesis. 1953
    • discussion 19-52
    • Turing AM. The chemical basis of morphogenesis. 1953. Bull Math Biol 1990; 52: 153-97; discussion 19-52.
    • (1990) Bull Math Biol , vol.52 , pp. 153-197
    • Turing, A.M.1
  • 107
    • 0000080729 scopus 로고
    • Spiral Waves of Chemical Activity
    • Winfree AT. Spiral Waves of Chemical Activity. Science 1972; 175: 634-636
    • (1972) Science , vol.175 , pp. 634-636
    • Winfree, A.T.1
  • 108
    • 0842345404 scopus 로고    scopus 로고
    • The fractal architecture of cytoplasmic organization: Scaling, kinetics and emergence in metabolic networks
    • Aon MA, O'Rourke B, Cortassa S. The fractal architecture of cytoplasmic organization: scaling, kinetics and emergence in metabolic networks. Mol Cell Biochem 2004; 256-257: 169-184 (Pubitemid 38181243)
    • (2004) Molecular and Cellular Biochemistry , vol.256-257 , Issue.1-2 , pp. 169-184
    • Aon, M.A.1    O'Rourke, B.2    Cortassa, S.3
  • 109
    • 0037134782 scopus 로고    scopus 로고
    • Coherent and robust modulation of a metabolic network by cytoskeletal organization and dynamics
    • DOI 10.1016/S0301-4622(02)00056-X, PII S030146220200056X
    • Aon MA, Cortassa S. Coherent and robust modulation of a metabolic network by cytoskeletal organization and dynamics. Biophys Chem 2002; 97: 213-231 (Pubitemid 34603754)
    • (2002) Biophysical Chemistry , vol.97 , Issue.2-3 , pp. 213-231
    • Aon, M.A.1    Cortassa, S.2
  • 111
    • 0018064440 scopus 로고
    • The retinal blood vessel patterns in twins
    • Huntzinger RS, Christian JC. The retinal blood vessel patterns in twins. Prog Clin Biol Res 1978; 24 Pt C: 241-246
    • (1978) Prog Clin Biol Res , vol.24 , Issue.PART C , pp. 241-246
    • Huntzinger, R.S.1    Christian, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.