Literature DB >> 3358954

Is the normal heart a periodic oscillator?

A Babloyantz1, A Destexhe.   

Abstract

With the help of several independent methods of nonlinear dynamics, the electrocardiograms (ECG) of four normal human hearts are studied qualitatively and quantitatively. A total of 36 leads were tested. The power spectrum, the autocorrelation function, the phase portrait, the Poincaré section, the correlation dimension, the Lyapunov exponent and the Kolmogorov entropy all point to the fact that the normal heart is not a perfect oscillator. The cardiac activity stems from deterministic dynamics of chaotic nature characterized by correlation dimensions D2 ranging from 3.6 to 5.2. Two different phase spaces are constructed for the evaluation of D2: the introduction of time lags and the direct use of space vectors give similar results. It is shown that the variabilities in interbeat intervals are not random but exhibit short range correlations governed by deterministic laws. These correlations may be related to the accelerating and decelerating physiological processes. This new approach to the cardiac activity may be used in clinical diagnosis. Also they are valuable tools for the evaluation of mathematical models which describe cardiac activity in terms of evolution equations.

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Year:  1988        PMID: 3358954     DOI: 10.1007/bf00364139

Source DB:  PubMed          Journal:  Biol Cybern        ISSN: 0340-1200            Impact factor:   2.086


  17 in total

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Authors:  G F Chess; R M Tam; F R Calaresu
Journal:  Am J Physiol       Date:  1975-03

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Journal:  Phys Rev A Gen Phys       Date:  1986-02

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Journal:  Phys Rev A Gen Phys       Date:  1987-03-01

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Authors:  S Akselrod; D Gordon; F A Ubel; D C Shannon; A C Berger; R J Cohen
Journal:  Science       Date:  1981-07-10       Impact factor: 47.728

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Authors:  R W DeBoer; J M Karemaker; J Strackee
Journal:  IEEE Trans Biomed Eng       Date:  1984-04       Impact factor: 4.538

6.  On a mechanism of cardiac electrical stability. The fractal hypothesis.

Authors:  A L Goldberger; V Bhargava; B J West; A J Mandell
Journal:  Biophys J       Date:  1985-09       Impact factor: 4.033

7.  1/f fluctuation of heartbeat period.

Authors:  M Kobayashi; T Musha
Journal:  IEEE Trans Biomed Eng       Date:  1982-06       Impact factor: 4.538

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Authors:  M R Guevara; L Glass; A Shrier
Journal:  Science       Date:  1981-12-18       Impact factor: 47.728

9.  A mathematic model of automaticity in the sinus node and AV junction based on weakly coupled relaxation oscillators.

Authors:  C R Katholi; F Urthaler; J Macy; T N James
Journal:  Comput Biomed Res       Date:  1977-12

10.  Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias.

Authors:  M R Guevara; L Glass
Journal:  J Math Biol       Date:  1982       Impact factor: 2.259

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  22 in total

1.  Approximate entropy as a measure of system complexity.

Authors:  S M Pincus
Journal:  Proc Natl Acad Sci U S A       Date:  1991-03-15       Impact factor: 11.205

2.  Dimensional analysis of RR dynamic in 24 hour electrocardiograms.

Authors:  H Bettermann; P Van Leeuwen
Journal:  Acta Biotheor       Date:  1992-12       Impact factor: 1.774

3.  Nonlinear dynamics of cardiovascular ageing.

Authors:  Y Shiogai; A Stefanovska; P V E McClintock
Journal:  Phys Rep       Date:  2010-03       Impact factor: 25.600

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Authors:  M Bachmann; J Kalda; J Lass; V Tuulik; M Säkki; H Hinrikus
Journal:  Med Biol Eng Comput       Date:  2005-01       Impact factor: 2.602

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Authors:  F Ravelli; R Antolini
Journal:  Biol Cybern       Date:  1992       Impact factor: 2.086

Review 6.  Application of chaos theory to biology and medicine.

Authors:  J E Skinner; M Molnar; T Vybiral; M Mitra
Journal:  Integr Physiol Behav Sci       Date:  1992 Jan-Mar

7.  New approach to studies on ECG dynamics: extraction and analyses of QRS complex irregularity time series.

Authors:  X S Zhang; Y S Zhu; X J Zhang
Journal:  Med Biol Eng Comput       Date:  1997-09       Impact factor: 2.602

8.  Nonlinear dynamics of two-dimensional cardiac action potential duration mapping model with memory.

Authors:  M Kesmia; S Boughaba; S Jacquir
Journal:  J Math Biol       Date:  2019-01-01       Impact factor: 2.259

9.  Signaling prodromes of sudden cardiac death.

Authors:  Ivana Vranic
Journal:  Bosn J Basic Med Sci       Date:  2013-02       Impact factor: 3.363

10.  Left-insular cortex lesions perturb cardiac autonomic tone in humans.

Authors:  S M Oppenheimer; G Kedem; W M Martin
Journal:  Clin Auton Res       Date:  1996-06       Impact factor: 4.435

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