Complexity of the heart rhythm after heart transplantation by entropy of transition network for RR-increments of RR time intervals between heartbeats

Makowiec, Danuta; Struzik, Zbigniew R.; Graff, Beata; Wdowczyk-Szulc, Joanna; Zarczynska-Buchnowiecka, Marta; Gruchała, Marcin; Rynkiewicz, Andrzej

doi:10.1109/embc.2013.6610951

Cited by 5 publications

(4 citation statements)

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“…This work is a continuation of our earlier investigations into the usability of tools from network theory in the assessment of RR-time interval signals (Makowiec et al, 2014 , 2015a , b ).…”

Section: Introductionmentioning

confidence: 70%

“…This phenomenon corresponds with increasingly antipersistent behavior of RR-signals at the smallest temporal resolutions with increasing age. Such simple antipersistent dynamics is also characteristic of the heart rhythm of patients after heart transplantation, that is, for subjects with denervated hearts (Makowiec et al, 2014 ). Table 1 supports the conclusion that the antipersistent features are attributed to accelerations independently of the subject’s age, while the decelerations change from a slight persistency to antipersistency with the subject’s age.…”

Section: Discussionmentioning

confidence: 99%

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Chronographic Imprint of Age-Induced Alterations in Heart Rate Dynamical Organization

et al. 2015

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Beat-to-beat changes in the heart period are transformed into a network of increments between subsequent RR-intervals, which enables graphical descriptions of short-term heart period variability. Three types of such descriptions are considered: (1) network graphs arising from a set of vertices and directed edges, (2) contour plots of adjacency matrices A, representing the networks and transition matrices T, resulting from A, and (3) vector plots of gradients of the matrices A and T. Two indices are considered which summarize properties of A and T: the approximate deceleration capacity and the entropy rate. The method, applied to time series of nocturnal RR-intervals recorded from healthy subjects of different ages, reveals important aspect of changes in the autonomic activity caused by biological aging. Independent of the subject’s age, following accelerations, a pendulum-like dynamics appears. With decelerations, this dynamics develops in line with the subject’s age. This aging transition can be graphically visualized by vectors connecting the maxima of the transition probabilities of T, which, metaphorically, resemble a chronometer or the hands of a clock.

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Section: Introductionmentioning

confidence: 70%

Section: Discussionmentioning

confidence: 99%

Chronographic Imprint of Age-Induced Alterations in Heart Rate Dynamical Organization

et al. 2015

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“…Differently from the present study, Takakura et al [26] (2017) observed using other nonlinear analysis (average diagonal length and sample entropy) higher predictability and lower complexity in a recent transplant group when compared with a group with a longer HTx postoperative time. Makowiec et al [27] (2013) used the entropy of transition and suggested that there is an increase in entropy with the increase in the postoperative time of cardiac transplantation because this was the behavior presented by the majority. However, the authors showed a figure with some individuals that presented the same behavior of the present study, i.e ., reduction of complexity observed by entropy [25] .…”

Section: Discussionmentioning

confidence: 99%

Evaluation of Cardiac Autonomic Modulation Using Symbolic Dynamics After Cardiac Transplantation

Moura¹,

Carvalho²,

Godoy³

et al. 2019

Braz J Cardiovasc Surg

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ObjectiveTo characterize the behavior of cardiac autonomic modulation in individuals with different times after orthotopic heart transplantation (HTx) using symbolic dynamics analysis.MethodsSixty patients were evaluated after HTx. We recorded their instantaneous R-R intervals (RRi) by cardiac monitor Polar® RS800CX™ (Polar Electro Oy, Kempele, Finland) for 10 minutes. The same sequence of RRi with 256 consecutive beats was used to perform spectral analysis and symbolic dynamics analysis. We used hierarchical clustering to form groups. One-way analysis of variance (ANOVA) (with Holm-Sidak method) or one-way Kruskal-Wallis test (with Dunn´s post-hoc test) was used to analyze the difference between groups. Linear correlation analysis between variables was performed using Pearson’s or Spearman’s tests. P-value < 0.05 was considered statistically significant.ResultsThe 0V% index increased, the 2UV% index and the normalized complexity index decreased with an increase of HTx postoperative time. There were a negative correlation between complexity indexes and 0V% and a positive correlation between complexity indexes and 2UV%.ConclusionSymbolic dynamics indexes were able to show a specific cardiac autonomic modulation pattern for HTx recipients with different postoperative times.

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“…Twenty-four-hour Holter ECG recordings during a normal sleep-wake rhythm were analyzed in two study groups. The first group, the Young, consisted of healthy young volunteers (18 female, 18 male, age [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. The second group, the HTX, comprised heart transplant patients (surgery at ages 28 to 65).…”

Section: Groups and Signals Studiedmentioning

confidence: 99%

Visualization of short-term heart period variability with network tools as a method for quantifying autonomic drive

Makowiec¹,

Graff²,

Kaczkowska³

et al. 2014

Preprint

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Introduction and purposeSignals from heart transplant recipients can be considered to be a natural source of information for a better understanding of the impact of the autonomic nervous system on the complexity of heart rate variability. Beat-to-beat heart rate variability can be represented as a network of increments between subsequent RR-intervals, which makes possible the visualization of short-term heart period fluctuations. Methods A network is constructed of vertices representing increments between subsequent RRintervals, and edges which connect adjacent RR-increments. Two modes of visualization of such a network are proposed. The method described is applied to nocturnal Holter signals recorded from healthy young people and from cardiac transplant recipients. Additionally, the analysis is performed on surrogate data: shuffled RR-intervals (to display short-range dependence), and shuffled phases of the Fourier Transform of RR-intervals (to filter out linear dependences).Results Important nonlinear properties of autonomic nocturnal regulation in short-term variability in healthy young persons are associated with RR-increments: accelerations and decelerations of a size greater than about 35 ms. They reveal that large accelerations are more likely antipersistent, while large decelerations are more likely persistent.Changes in RR-increments in a heart deprived of autonomic supervision are much lower than in a healthy individual, and appear to be maintained around a homeostatic state, but there are indications that this dynamics is nonlinear. ConclusionThe method is fruitful in the evaluation of the vagal activity -the quantity and quality of the vagal tone -during the nocturnal rest of healthy young people. The method also successfully extracts nonlinear effects related to intrinsic mechanisms of the heart regulation.Since the vagal part of autonomic regulation is considered to be responsible for nocturnal heart rhythm with large accelerations and decelerations, we hypothesize that vagal activity is a crucial source of the complexity in short-term heart rate variability.

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Complexity of the heart rhythm after heart transplantation by entropy of transition network for RR-increments of RR time intervals between heartbeats

Cited by 5 publications

References 12 publications

Chronographic Imprint of Age-Induced Alterations in Heart Rate Dynamical Organization

Chronographic Imprint of Age-Induced Alterations in Heart Rate Dynamical Organization

Evaluation of Cardiac Autonomic Modulation Using Symbolic Dynamics After Cardiac Transplantation

Visualization of short-term heart period variability with network tools as a method for quantifying autonomic drive

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