Transition Network Entropy in Characterization of Complexity of Heart Rhythm After Heart Transplantation

Makowiec, Danuta; Struzik, Zbigniew R.; Graff, Beata; Żarczyńska-Buchowiecka, Marta; Wdowczyk, Joanna

doi:10.5506/aphyspolb.45.1771

Cited by 7 publications

(6 citation statements)

References 9 publications

(12 reference statements)

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“…The transition matrix of this network leads to the Markov characterization of the dynamics, and hence, it provides the entropy rate as an estimator of the total complexity of the time series. This approach is a continuation of our earlier investigations into the usability of network theory tools in the assessment of RR-time interval signals [8]. Our second method is based on the distribution of ordinal patterns and the resulting permutation entropy [1,9,10].…”

Section: Introductionmentioning

confidence: 99%

Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Makowiec

Kaczkowska

Wejer

et al. 2015

Entropy

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Two entropy-based approaches are investigated to study patterns describing differences in time intervals between consecutive heartbeats. The first method explores matrices arising from networks of transitions constructed following events represented by a time series. The second method considers distributions of ordinal patterns of length three, whereby patterns with repeated values are counted as different patterns. Both methods provide estimators of dynamical aspects of short-term heartbeat signals obtained from nocturnal Holter electrocardiogram (ECG) recordings of healthy people of different ages and genders. The deceleration capacity, arising from the adjacency matrix of the network, and the entropy rate, resulting from the transition matrix of the network, are also calculated, and both significantly decay with aging. As people age, the permutation entropy grows, due to the increase in patterns with repeated values. All of these estimators describe in a consistent way changes in the beat-to-beat heart period dynamics caused by aging. An overall slowing Entropy 2015, 17 1254 down of heart period changes is observed, and an increase of permutation entropy results from the progressive increase of patterns with repeated values. This result points to the sympathetic drive becoming dominant in cardiac regulation of nocturnal heart rate with age.

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Section: Introductionmentioning

confidence: 99%

Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Makowiec

Kaczkowska

Wejer

et al. 2015

Entropy

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“…Our concept of fragmentation includes zero value RR-increments. This extension is important because in the case of heart rhythms of HTX patients, we observe an abundance of zero RR-increments (Makowiec et al, 2013 , 2014 ).…”

Section: Introductionmentioning

confidence: 84%

Dynamical Landscape of Heart Rhythm in Long-Term Heart Transplant Recipients: A Way to Discern Erratic Rhythms

et al. 2018

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It is commonly believed that higher values of heart rate variability (HRV) indices account for better organization of the network of feedback reflexes driving an organism's response to actual bodily needs. In order to evaluate this organization in heart transplant (HTX) recipients, 58 nocturnal Holter signals of 14 HTX patients were analyzed. Their dynamical properties were evaluated by short-term HRV indices and measures grounded on entropy. Estimates grouped according to the patients' clinical progress: free of complications versus with complications, and arranged in order of the length of time since the HTX, lead us to the conclusion that higher HRV is associated with a worse outcome for HTX patients. Moreover, short-term HRV indices that are constant, rather than increasing over time, serve well in the prognosis of the future state of a HTX patient. These findings suggest that increases observed in HRV indices are related to erratic rhythms resulting from remodeling of the cardiac tissue (including heterogeneous innervation) in long-term HTX patients. Therefore, we hypothesize that dynamical landscape markers (entropy and fragmentation measures together with the short-term HRV indices) can serve as a tool in the exploration of the genesis of (non-respiratory sinus) arrhythmia.

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“…By observing subsequent changes in RR-intervals, we obtain beat-to-beat information about the resulting force of these interactions. We have found that important dynamical aspects about the autonomic competitive regulation can be described by changes in RR-intervals, namely by RRincrements ( [20], [21]).…”

Section: Introductionmentioning

confidence: 98%

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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Transition Network Entropy in Characterization of Complexity of Heart Rhythm After Heart Transplantation

Cited by 7 publications

References 9 publications

Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Dynamical Landscape of Heart Rhythm in Long-Term Heart Transplant Recipients: A Way to Discern Erratic Rhythms

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

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