On the presence of deterministic chaos in HRV signals
Ivana Đaković Radojičić, Danilo P. Mandic, D. Vulic
Abstract
Ivana Đaković Radojičić, Danilo P. Mandic, D. Vulic
Abstract
The presence of deterministic chaos in the instantaneous heart rate variability (HRV) signal is investigated by the reconstruction of a multi-dimensional signal using a time-delay embedding method. Four methods (autocorrelation, mutual information, average displacement and visual attractor inspection) are used to determine the time-delay parameter. The dimensionality of the embedding is tested using the nearest-neighbour and correlation-dimension methods, including a surrogate data test for the correlation dimension. An analysis is also performed for calculating the largest Lyapunov exponents. The results obtained in the time-delay embedding process support the conclusion that the HRV series could be chaotic.
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The presence of deterministic chaos in the instantaneous heart rate variability (HRV) signal is investigated by the reconstruction of a multi-dimensional signal using a time-delay embedding method. Four methods (autocorrelation, mutual information, average displacement and visual attractor inspection) are used to determine the time-delay parameter. The dimensionality of the embedding is tested using the nearest-neighbour and correlation-dimension methods, including a surrogate data test for the correlation dimension. An analysis is also performed for calculating the largest Lyapunov exponents. The results obtained in the time-delay embedding process support the conclusion that the HRV series could be chaotic.
Key concepts: Correlation dimension, Autocorrelation, Surrogate data, Attractor, Lyapunov exponent, Dimension (graph theory), Embedding, Series (stratigraphy)