The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Multifractality in human heartbeat dynamics
Open accessAbstract
There is evidence that physiological signals under healthy conditions may have a fractal temporal structure. Here we investigate the possibility that time series generated by certain physiological control systems may be members of a special class of complex processes, termed multifractal, which require a large number of exponents to characterize their scaling properties. We report onevidence for multifractality in a biological dynamical system, the healthy human heartbeat, and show that the multifractal character and nonlinear properties of the healthy heart rate are encoded in the Fourier phases. We uncover a loss of multifractality for a life-threatening condition, congestive heart failure.
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.
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
Daubechies, I. (1992) · doi:10.1137/1.9781611970104 · Cited by 15,979
Long-Term Storage Capacity of Reservoirs
Hurst, H. E. (1951) · Transactions of the American Society of Civil Engineers · doi:10.1061/taceat.0006518 · Cited by 6,212
Akselrod, S., Gordon, D., Ubel, F. A., Shannon, D. C., Berger, A. C., & Cohen, R. J. (1981) · Science · doi:10.1126/science.6166045 · Cited by 5,079
Fractal Concepts in Surface Growth
Barabási, A. L., & Stanley, H. E. (1995) · doi:10.1017/cbo9780511599798 · Cited by 3,925
Self-citationQuantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
Peng, C.-K., Havlin, S., Stanley, H. E., & Goldberger, A. L. (1995) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.166141 · Cited by 3,855
Self-citationSimple multifractal cascade model for fully developed turbulence
Meneveau, C., & Sreenivasan, K. R. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1424 · Cited by 990
Wavelets and multifractal formalism for singular signals: Application to turbulence data
Muzy, J. F., Bacry, E., & Arneodo, A. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.3515 · Cited by 785
1/f Fluctuation of Heartbeat Period
Kobayashi, M., & Musha, T. (1982) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1982.324972 · Cited by 690
Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations
Hausdorff, J. M., Purdon, P. L., Peng, C. K., Ladin, Z., Wei, J. Y., & Goldberger, A. L. (1996) · Journal of Applied Physiology · doi:10.1152/jappl.1996.80.5.1448 · Cited by 644
Self-citationTHE MULTIFRACTAL FORMALISM REVISITED WITH WAVELETS
MUZY, J. F., BACRY, E., & ARNEODO, A. (1994) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127494000204 · Cited by 572
Cited by
Goldberger, A. L., Amaral, L. A. N., Glass, L., Hausdorff, J. M., Ivanov, P. C., Mark, R. G., Mietus, J. E., Moody, G. B., Peng, C.-K., & Stanley, H. E. (2000) · Circulation · doi:10.1161/01.cir.101.23.e215 · Cited by 14,809
Self-citationWavelet transforms and the ECG: a review
Addison, P. S. (2005) · Physiological Measurement · doi:10.1088/0967-3334/26/5/r01 · Cited by 908
Heart rate variability biofeedback: how and why does it work?
Lehrer, P. M., & Gevirtz, R. (2014) · Frontiers in Psychology · doi:10.3389/fpsyg.2014.00756 · Cited by 883
Sassi, R., Cerutti, S., Lombardi, F., Malik, M., Huikuri, H. V., Peng, C.-K., Schmidt, G., Yamamoto, Y., Reviewers:, D., Gorenek, B., et al. (2015) · Europace · doi:10.1093/europace/euv015 · Cited by 727
EEG microstate sequences in healthy humans at rest reveal scale-free dynamics.
Van De Ville, D., Britz, J., & Michel, C. M. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1007841107 · Cited by 606
Metadata
- Authors
- Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L., Havlin, S., Rosenblum, M. G., Struzik, Z. R., & Stanley, H. E.
- Venue
- Nature
- Published
- 1999-06
- Volume
- 399
- Issue
- 6735
- Pages
- 461-465
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2127873098
- Cited by
- 1,456
- References
- 21
- FWCI
- 20.37
- Type
- journal article
- Language
- en
- Open access
- green
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Multifractality in human heartbeat dynamics. https://app.cochat.ai/papers/10.1038/20924
- The paper
- Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L., Havlin, S., Rosenblum, M. G., Struzik, Z. R., & Stanley, H. E. (1999). Multifractality in human heartbeat dynamics. Nature. https://doi.org/10.1038/20924
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.