The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Fractal mechanisms and heart rate dynamics
Open accessAbstract
Under healthy conditions, the normal cardiac (sinus) interbeat interval fluctuates in a complex manner. Quantitative analysis using techniques adapted from statistical physics reveals the presence of long-range power-law correlations extending over thousands of heartbeats. This scale-invariant (fractal) behavior suggests that the regulatory system generating these fluctuations is operating far from equilibrium. In contrast, it is found that for subjects at high risk of sudden death (e.g., congestive heart failure patients), these long-range correlations break down. Application of fractal scaling analysis and related techniques provides new approaches to assessing cardiac risk and forecasting sudden cardiac death, as well as motivating development of novel physiologic models of systems that appear to be heterodynamic rather than homeostatic.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“This fractal pattern breaks down with disease and its change is predictive of mortality”
From The impact of the circadian timing system on cardiovascular and metabolic function (2012) · cites this paper as Peng et al., 1995
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Fractal Geometry of Nature
Mandelbrot, B. B., & WHEELER, J. A. (1983) · American Journal of Physics · doi:10.1119/1.13295 · Cited by 21,964
Self-organized criticality: An explanation of the 1/ f noise
Bak, P., Tang, C., & Wiesenfeld, K. A. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.381 · Cited by 7,644
The Fractal Geometry of Nature
Mandelbrot, B. B., & Longley, P. (1982) · CERN Document Server (European Organization for Nuclear Research) · Cited by 7,293
Introduction to Phase Transitions and Critical Phenomena
Stanley, H. E., & Wong, V. K. (1972) · American Journal of Physics · doi:10.1119/1.1986710 · Cited by 4,108
Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
Peng, C., Havlin, S., Stanley, E., & Goldberger, A. L. (1995) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.166141 · Cited by 3,865
Introduction to Phase Transitions and Critical Phenomena
Stanley, E., & Ahlers, G. (1973) · Physics Today · doi:10.1063/1.3127900 · Cited by 3,690
Statistics for Long-Memory Processes.
Ray, W. D., & Beran, J. (1996) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.2307/2983481 · Cited by 2,716
Organization for physiological homeostasis
Cannon, W. B. (1929) · Physiological Reviews · doi:10.1152/physrev.1929.9.3.399 · Cited by 1,844
Statistics for Long-Memory Processes.
Percival, D. B., & Beran, J. (1996) · Journal of the American Statistical Association · doi:10.2307/2291761 · Cited by 1,504
Long-range correlations in nucleotide sequences
Peng, C., Buldyrev, S. V., Goldberger, A. L., Havlin, S., Sciortino, F., Simons, M., & Stanley, E. (1992) · Nature · doi:10.1038/356168a0 · Cited by 1,413
Research works printed but not linked: 2
- Peng, 1994, On the mosaic organization of DNA sequences, Phys Rev Lett, 49, 1685
- Press, 1978, Flicker noise in astronomy and elsewhere, Comments Astrophys, 7, 103
Cited by
Sorted by citations
Heart rate variability: origins, methods, and interpretive caveats
BERNTSON, G. G., THOMAS BIGGER, J., ECKBERG, D. L., GROSSMAN, P., KAUFMANN, P. G., MALIK, M., NAGARAJA, H. N., PORGES, S. W., SAUL, J. P., STONE, P. H., et al. (1997) · Psychophysiology · doi:10.1111/j.1469-8986.1997.tb02140.x · Cited by 3,962
Heart rate variability: A review
Rajendra Acharya, U., Paul Joseph, K., Kannathal, N., Lim, C. M., & Suri, J. S. (2006) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-006-0119-0 · Cited by 2,820
Multifractality in human heartbeat dynamics
Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L., Havlin, S., Rosenblum, M., Struzik, Z. R., & Stanley, H. E. (1999) · Nature · doi:10.1038/20924 · Cited by 1,690
Multifractality in Human Heartbeat Dynamics.
Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L., Havlin, S., Rosenblum, M. G., Struzik, Z. R., & Stanley, E. (1999) · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · Cited by 1,327
Fractal characterization of complexity in temporal physiological signals
Eke, A., Hermán, P., Kocsis, L., & Kozák, L. R. (2002) · Physiological Measurement · doi:10.1088/0967-3334/23/1/201 · Cited by 622
Metadata
- Authors
- Peng, C.-K., Havlin, S., Hausdorff, J. M., Mietus, J. E., Stanley, H. E., & Goldberger, A. L.
- Affiliations
- Boston University (US)
- Harvard University (US)
- Corresponding author
- Peng, C.-K.
- Venue
- Journal of Electrocardiology
- Publisher
- Elsevier BV
- Published
- 1995
- Volume
- 28
- Pages
- 59-65
- ISSN
- 0022-0736 (ISSN-L)
- OpenAlex
- W1824152488
- Cited by
- 358
- References
- 30
- Citations by year
- 2026: 7 · 2025: 13 · 2024: 7 · 2023: 18 · 2022: 9 · 2021: 18 · 2020: 16 · 2019: 27 · 2018: 15 · 2017: 19 · 2016: 20 · 2015: 16 · 2014: 25 · 2013: 27 · 2012: 19
- FWCI
- 0.61
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Journal of Electrocardiology (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- Funders
- National Science Foundation
- National Aeronautics and Space Administration
- National Institutes of Health
- National Institute on Aging
- National Institute of Mental Health
- National Institute on Drug Abuse
- Topics
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Heart Rate Variability and Autonomic Control
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiac electrophysiology and arrhythmias
- Keywords
- heart rate dynamics, fractal scaling, long-range correlations, power-law correlations, cardiac interbeat intervals, cardiac autonomic regulation, congestive heart failure, sudden cardiac death risk, cardiac risk assessment
- MeSH terms
- Adult, Aged, Algorithms, Electrocardiography, Forecasting, Heart Diseases, Heart Failure, Heart Rate, Humans, Middle Aged, Models, Cardiovascular, Risk Factors, Survival Rate, Case-Control Studies, Death, Sudden, Cardiac, Fractals, Ventricular Dysfunction, Left, Risk Assessment
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review