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Methods derived from nonlinear dynamics for analysing heart rate variability. (English) Zbl 1221.94025
Summary: Methods from nonlinear dynamics (NLD) have shown new insights into heart rate (HR) variability changes under various physiological and pathological conditions, providing additional prognostic information and complementing traditional time- and frequency-domain analyses. In this review, some of the most prominent indices of nonlinear and fractal dynamics are summarized and their algorithmic implementations and applications in clinical trials are discussed. Several of those indices have been proven to be of diagnostic relevance or have contributed to risk stratification. In particular, techniques based on mono- and multifractal analyses and symbolic dynamics have been successfully applied to clinical studies. Further advances in HR variability analysis are expected through multidimensional and multivariate assessments. Today, the question is no longer about whether or not methods from NLD should be applied; however, it is relevant to ask which of the methods should be selected and under which basic and standardized conditions should they be applied.

MSC:
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
92C55 Biomedical imaging and signal processing
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[1] Computer Physics Communications 121 122 pp 126– (1999)
[2] Babloyantz, Biological cybernetics 58 (3) pp 203– (1988) · doi:10.1007/BF00364139
[3] Bar, Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology 118 (9) pp 2009– (2007) · doi:10.1016/j.clinph.2007.06.012
[4] Baselli, IEEE transactions on bio-medical engineering 53 (1) pp 53– (2006) · doi:10.1109/TBME.2005.859787
[5] Baumert, Medical & biological engineering & computing 40 (2) pp 241– (2002) · doi:10.1007/BF02348131
[6] Baumert, Methods of information in medicine 43 (2) pp 202– (2004)
[7] NOISE LETT 4 pp L557– (2005)
[8] American Journal of Physiology - Heart and Circulatory Physiology 290 (6) pp H2560– (2006) · doi:10.1152/ajpheart.00903.2005
[9] Bigger, Circulation 93 (12) pp 2142– (1996) · doi:10.1161/01.CIR.93.12.2142
[10] Brennan, American Journal of Physiology - Heart and Circulatory Physiology 283 (5) pp H1873– (2002) · doi:10.1152/ajpheart.00405.2000
[11] Chaffin, American journal of obstetrics and gynecology 165 (5 Pt 1) pp 1425– (1991) · doi:10.1016/S0002-9378(12)90778-4
[12] Christini, IEEE transactions on bio-medical engineering 42 (4) pp 411– (1995) · doi:10.1109/10.376135
[13] Physical Review Letters 89 pp 068 102– (2002) · doi:10.1103/PhysRevLett.89.068102
[14] PHYS REV E 71 (Pt 1) pp 021 906– (2005)
[15] Coveney, Journal of The Royal Society Interface 2 (4) pp 267– (2005) · doi:10.1098/rsif.2005.0045
[16] Eckmann, Reviews of Modern Physics 57 pp 617– (1985) · Zbl 0989.37516 · doi:10.1103/RevModPhys.57.617
[17] American Journal of Physiology – Legacy Content 245 pp R455– (1983)
[18] Goldberger, Physiology 6 (2) pp 87– (1991)
[19] Goldberger, Annals of the New York Academy of Sciences 504 (1) pp 195– (1987)
[20] Goldberger, Experientia 44 (11-12) pp 983– (1988) · doi:10.1007/BF01939894
[21] PNAS 19 pp 2466– (2002)
[22] Gomes, Chaos (Woodbury, N.Y.) 10 (2) pp 398– (2000) · Zbl 0990.92006 · doi:10.1063/1.166507
[23] Physica. D 9 pp 189– (1983)
[24] 28 pp 2591– (1983)
[25] Guevara, Science 214 (4527) pp 1350– (1981) · doi:10.1126/science.7313693
[26] Guzzetti, Autonomic neuroscience : basic & clinical 86 (1-2) pp 114– (2000) · doi:10.1016/S1566-0702(00)00239-3
[27] Circulation 112 (4) pp 465– (2005) · doi:10.1161/CIRCULATIONAHA.104.518449
[28] J MATH PURES APPL 4 pp 27– (1898)
[29] Hejjel, Acta physiologica Hungarica 88 (3-4) pp 219– (2001) · doi:10.1556/APhysiol.88.2001.3-4.4
[30] Ho, Circulation 96 (3) pp 842– (1997) · doi:10.1161/01.CIR.96.3.842
[31] Kun Hu, Journal of Biological Rhythms 23 (3) pp 265– (2008) · doi:10.1177/0748730408316166
[32] Huikuri, Circulation 101 (1) pp 47– (2000) · doi:10.1161/01.CIR.101.1.47
[33] Ivanov, Nature; Physical Science (London) 399 (6735) pp 461– (1999) · doi:10.1038/20924
[34] Javorka, Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology 119 (5) pp 1071– (2008) · doi:10.1016/j.clinph.2007.12.017
[35] Kamen, Australian and New Zealand journal of medicine 25 (1) pp 18– (1995) · doi:10.1111/j.1445-5994.1995.tb00573.x
[36] Kamen, Clinical science (London, England : 1979) 91 (2) pp 201– (1996) · doi:10.1042/cs0910201
[37] Kaplan, Biophysical Journal 59 (4) pp 945– (1991)
[38] Khoo 8 (1) pp 30– (2008) · doi:10.1007/s10558-007-9041-9
[39] Kleiger, The American journal of cardiology 59 (4) pp 256– (1987) · doi:10.1016/0002-9149(87)90795-8
[40] Kobayashi, IEEE transactions on bio-medical engineering 29 (6) pp 456– (1982)
[41] Kurths, Chaos (Woodbury, N.Y.) 5 (1) pp 88– (1995) · doi:10.1063/1.166090
[42] Laitio, The American journal of cardiology 89 (10) pp 1176– (2002) · doi:10.1016/S0002-9149(02)02300-7
[43] Lake, American Journal of Physiology - Regulatory, Integrative and Comparative Physiology 283 (3) pp R789– (2002) · doi:10.1152/ajpregu.00069.2002
[44] Lin, Physical Review Letters 86 (8) pp 1650– (2001) · doi:10.1103/PhysRevLett.86.1650
[45] Lombardi, Circulation 101 (1) pp 8– (2000) · doi:10.1161/01.CIR.101.1.8
[46] Lombardi, The American journal of cardiology 86 (9) pp 959– (2000) · doi:10.1016/S0002-9149(00)01130-9
[47] BIOMED TECH BERL 51 pp 220– (2006)
[48] Maestri, Journal of cardiovascular electrophysiology 18 (4) pp 425– (2007) · doi:10.1111/j.1540-8167.2007.00728.x
[49] Makikallio, Journal of the American College of Cardiology 28 (4) pp 1005– (1996) · doi:10.1016/S0735-1097(96)00243-4
[50] M  kikallio, The American journal of cardiology 83 (6) pp 836– (1999) · doi:10.1016/S0002-9149(98)01076-5
[51] M  kikallio, The American journal of cardiology 87 (2) pp 178– (2001) · doi:10.1016/S0002-9149(00)01312-6
[52] Norris, Shock (Augusta, Ga.) 30 (1) pp 17– (2008)
[53] Novak, Journal of Applied Physiology 74 (2) pp 617– (1993)
[54] European Journal of Heart Failure 5 (4) pp 427– (2003) · doi:10.1016/S1388-9842(03)00011-4
[55] Parati, Hypertension 12 (2) pp 214– (1988) · doi:10.1161/01.HYP.12.2.214
[56] Peng, Chaos (Woodbury, N.Y.) 5 (1) pp 82– (1995) · doi:10.1063/1.166141
[57] Pincus, PNAS 88 (6) pp 2297– (1991) · Zbl 0756.60103 · doi:10.1073/pnas.88.6.2297
[58] Pompe, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society 17 (6) pp 32– (1998)
[59] Porta, IEEE transactions on bio-medical engineering 48 (11) pp 1282– (2001) · doi:10.1109/10.959324
[60] Chaos (Woodbury, N.Y.) 17 pp 015 117– (2007) · Zbl 1159.37384 · doi:10.1063/1.2404630
[61] Richman, American Journal of Physiology - Heart and Circulatory Physiology 278 (6) pp H2039– (2000)
[62] Ritzenberg, Nature; Physical Science (London) 307 (5947) pp 159– (1984) · doi:10.1038/307159a0
[63] Ryan, Journal of the American College of Cardiology 24 (7) pp 1700– (1994)
[64] 14 pp 419– (1987)
[65] Schumacher, Biological Research For Nursing 5 (3) pp 211– (2004) · doi:10.1177/1099800403260619
[66] Schwab, Medical & biological engineering & computing 44 (12) pp 1077– (2006) · doi:10.1007/s11517-006-0120-7
[67] Stein, Journal of cardiovascular electrophysiology 16 (1) pp 13– (2005) · doi:10.1046/j.1540-8167.2005.04358.x
[68] Tapanainen, The American journal of cardiology 90 (4) pp 347– (2002) · doi:10.1016/S0002-9149(02)02488-8
[69] Electrophysiology, Circulation 93 (5) pp 1043– (1996) · doi:10.1161/01.CIR.93.5.1043
[70] BIOMED TECH BERL 51 pp 77– (2006)
[71] Circulation 112 (3) pp 314– (2005) · doi:10.1161/CIRCULATIONAHA.104.523712
[72] Europace 8 (6) pp 398– (2006) · doi:10.1093/europace/eul031
[73] Vinet, Annals of the New York Academy of Sciences 601 (1) pp 281– (1990) · doi:10.1111/j.1749-6632.1990.tb37307.x
[74] Cardiovascular Research 31 (3) pp 419– (1996) · doi:10.1016/S0008-6363(96)00008-9
[75] Voss, Pacing and clinical electrophysiology : PACE 21 (1 Pt 2) pp 186– (1998) · doi:10.1111/j.1540-8159.1998.tb01086.x
[76] Weiss, Journal of Clinical Investigation 93 (4) pp 1355– (1994)
[77] Wolf, Medical Journal of Australia 2 (2) pp 52– (1978)
[78] IEEE TRANS INF THER 23 pp 337– (1977)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.