IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v215y1995i4p439-450.html
   My bibliography  Save this article

A model of neural control of the heart rate

Author

Listed:
  • Rosenblum, Michael
  • Kurths, Jürgen

Abstract

A simple model of heart rate regulation is proposed, using the assumption that the nervous system regulates the generation of pulses of the pacemaker. Previous values of intervals between heart beats (RR intervals) are used for this regulation, which is described by a nonlinear feedback loop with time delay. The conductance of the excitation in the heart is phenomenologically described by one nonlinear function (recovery curve). The model reproduces time series of RR intervals. Different known patterns of heart rate variability are observed, depending on the type of control and the parameter values.

Suggested Citation

  • Rosenblum, Michael & Kurths, Jürgen, 1995. "A model of neural control of the heart rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(4), pages 439-450.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:4:p:439-450
    DOI: 10.1016/0378-4371(95)00041-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195000415
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(95)00041-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Herzel, Hanspeter & Große, Ivo, 1995. "Measuring correlations in symbol sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 518-542.
    2. Mushaben, Joyce Marie, 1982. "International Housing Policies: A Comparative Analysis. By Chester C. McGuire. (Lexington, Mass.: D.C. Health, 1981. Pp. xv + 251. $24.95.)," American Political Science Review, Cambridge University Press, vol. 76(3), pages 694-695, September.
    3. Stanley, H.E. & Buldyrev, S.V. & Goldberger, A.L. & Havlin, S. & Peng, C.-K. & Simons, M., 1993. "Long-range power-law correlations in condensed matter physics and biophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 4-24.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ritto, P.A. & Alvarado-Gil, J.J. & Contreras, J.G., 2005. "Scaling and wavelet-based analyses of the long-term heart rate variability of the Eastern Oyster," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 291-301.
    2. Chapeau-Blondeau, François, 2007. "Autocorrelation versus entropy-based autoinformation for measuring dependence in random signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 1-18.
    3. Muniandy, Sithi V. & Uning, Rosemary, 2006. "Characterization of exchange rate regimes based on scaling and correlation properties of volatility for ASEAN-5 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 585-598.
    4. Absil, P.-A & Sepulchre, R & Bilge, A & Gérard, P, 1999. "Nonlinear analysis of cardiac rhythm fluctuations using DFA method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 235-244.
    5. Zaks, Michael A., 2002. "Influence of noise on dynamics with fractal Fourier spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 285-307.
    6. Z S Hua & B Zhang & J Yang & D S Tan, 2007. "A new approach of forecasting intermittent demand for spare parts inventories in the process industries," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 52-61, January.
    7. Giovanni Villani, 2022. "Affinity and Correlation in DNA," J, MDPI, vol. 5(2), pages 1-18, April.
    8. Li, Ming & Zhang, Peidong & Leng, Jianxing, 2016. "Improving autocorrelation regression for the Hurst parameter estimation of long-range dependent time series based on golden section search," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 189-199.
    9. Li, Ming & Zhao, Wei, 2013. "On bandlimitedness and lag-limitedness of fractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1955-1961.
    10. Dehnert, M. & Helm, W.E. & Hütt, M.-Th., 2003. "A discrete autoregressive process as a model for short-range correlations in DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 535-553.
    11. Nagatani, Takashi & Seno, Tadachika, 1994. "Traffic jam induced by a crosscut road in a traffic-flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 574-583.
    12. Li, Ming & Sun, Xichao & Xiao, Xi, 2019. "Revisiting fractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 56-62.
    13. Ciorsac, Alecu & Craciun, Dana & Ostafe, Vasile & Isvoran, Adriana, 2011. "Nonlinear correlations in the hydrophobicity and average flexibility along the glycolytic enzymes sequences," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 191-197.
    14. Michael Schauperl & Julian E Fuchs & Birgit J Waldner & Roland G Huber & Christian Kramer & Klaus R Liedl, 2015. "Characterizing Protease Specificity: How Many Substrates Do We Need?," PLOS ONE, Public Library of Science, vol. 10(11), pages 1-17, November.
    15. Li, Ming & Zhao, Wei, 2012. "Quantitatively investigating the locally weak stationarity of modified multifractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6268-6278.
    16. Castro e Silva, A. & Moreira, J.G., 1997. "Roughness exponents to calculate multi-affine fractal exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 327-333.
    17. Craciun, Dana & Isvoran, Adriana & Avram, N.M., 2009. "Long range correlation of hydrophilicity and flexibility along the calcium binding protein chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4609-4618.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:215:y:1995:i:4:p:439-450. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.