Measures of LLE of heart rate in different frequency bands: a possible measure of relative vagal and sympathetic activity

Yeragani, Vikram K.; Radhakrishna, R.K.A.; Ramakrishnan, K. R.; Srinivasan, S.

doi:10.1016/j.nonrwa.2003.07.002

Cited by 11 publications

(3 citation statements)

References 58 publications

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“…The variation is between 0.005 and 0.078 for simulated HRV signals. Comparable LLE values were found in HRV signals with dominant deterministic properties, caused by filtering or pathophysiological causes (mean/median LLE values between 0.06-0.08 (Yeragani et al 2004) and 0.05-0.06 (Patzak et al 1997). The D 2 analysis of our simulated data also indicates that CA components have an impact on analysis results.…”

Section: Discussionsupporting

confidence: 54%

Time-variant partial directed coherence in analysis of the cardiovascular system. A methodological study

Milde¹,

Schwab²,

Walther³

et al. 2011

Physiol. Meas.

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Time-variant partial directed coherence (tvPDC) is used for the first time in a multivariate analysis of heart rate variability (HRV), respiratory movements (RMs) and (systolic) arterial blood pressure. It is shown that respiration-related HRV components which also occur at other frequencies besides the RM frequency (= respiratory sinus arrhythmia, RSA) can be identified. These additional components are known to be an effect of the 'half-the-mean-heart-rate-dilemma' ('cardiac aliasing' CA). These CA components may contaminate the entire frequency range of HRV and can lead to misinterpretation of the RSA analysis. TvPDC analysis of simulated and clinical data (full-term neonates and sedated patients) reveals these contamination effects and, in addition, the respiration-related CA components can be separated from the RSA component and the Traube-Hering-Mayer wave. It can be concluded that tvPDC can be beneficially applied to avoid misinterpretations in HRV analyses as well as to quantify partial correlative interaction properties between RM and RSA.

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Section: Discussionsupporting

confidence: 54%

Time-variant partial directed coherence in analysis of the cardiovascular system. A methodological study

Milde¹,

Schwab²,

Walther³

et al. 2011

Physiol. Meas.

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“…The value of LE increases, corresponding to lower predictability, as the degree of chaos becomes higher; a positive LE is a strong indicator of chaos [ 83 , 84 , 85 ]; therefore, the computation only of the largest Lyapunov exponent (LLE) is sufficient to assess chaos. The LLE is most commonly used in nonlinear analysis of physiological signals [ 86 , 87 , 88 ].…”

Section: Nonlinear Methodsmentioning

confidence: 99%

Nonlinear Methods Most Applied to Heart-Rate Time Series: A Review

Henriques

Ribeiro

Teixeira

et al. 2020

Entropy

103

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The heart-rate dynamics are one of the most analyzed physiological interactions. Many mathematical methods were proposed to evaluate heart-rate variability. These methods have been successfully applied in research to expand knowledge concerning the cardiovascular dynamics in healthy as well as in pathological conditions. Notwithstanding, they are still far from clinical practice. In this paper, we aim to review the nonlinear methods most used to assess heart-rate dynamics. We focused on methods based on concepts of chaos, fractality, and complexity: Poincaré plot, recurrence plot analysis, fractal dimension (and the correlation dimension), detrended fluctuation analysis, Hurst exponent, Lyapunov exponent entropies (Shannon, conditional, approximate, sample entropy, and multiscale entropy), and symbolic dynamics. We present the description of the methods along with their most notable applications.

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“…In general, biological signals and systems are non-stationary and contain time delays [7,8]. The efficiency of wavelet tools employed to extract useful information for anesthesia has been shown in several recent works [9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of the patient’s response to drug effect during general anesthesia

Ionescu

Machado

Keyser

et al. 2015

Communications in Nonlinear Science and Numerical Simulation

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a b s t r a c tIn today's healthcare paradigm, optimal sedation during anesthesia plays an important role both in patient welfare and in the socio-economic context. For the closed-loop control of general anesthesia, two drugs have proven to have stable, rapid onset times: propofol and remifentanil. These drugs are related to their effect in the bispectral index, a measure of EEG signal. In this paper wavelet time-frequency analysis is used to extract useful infor-mation from the clinical signals, since they are time-varying and mark important changes in patient's response to drug dose. Model based predictive control algorithms are employed to regulate the depth of sedation by manipulating these two drugs. The results of identifi-cation from real data and the simulation of the closed loop control performance suggest that the proposed approach can bring an improvement of 9% in overall robustness and may be suitable for clinical practice.

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Measures of LLE of heart rate in different frequency bands: a possible measure of relative vagal and sympathetic activity

Cited by 11 publications

References 58 publications

Time-variant partial directed coherence in analysis of the cardiovascular system. A methodological study

Time-variant partial directed coherence in analysis of the cardiovascular system. A methodological study

Nonlinear Methods Most Applied to Heart-Rate Time Series: A Review

Nonlinear dynamics of the patient’s response to drug effect during general anesthesia

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