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Enhanced multiresolution wavelet analysis of cerebrovascular dynamics

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  • Pavlov, A.N.
  • Pavlova, O.N.

Abstract

The responses of cerebral circulation to an abrupt increase in blood pressure caused by pharmacologically induced hypertension are compared by means of multiresolution wavelet analysis (MWA), which uses standard deviations of expansion coefficients as diagnostic criteria, and an enhanced approach, combining MWA with analysis of long-range power-law correlations in the wavelet domain. We discuss how applying both of these approaches elicits different types of reactions of large blood vessels in the brain and capillary network and show that the use of simple statistical measures limits the information that can be extracted during data processing. Taking into account the correlation features in addition to the width of the probability density is a possible way to improve the characterization of the effects produced by “jumps” in blood pressure.

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  • Pavlov, A.N. & Pavlova, O.N., 2021. "Enhanced multiresolution wavelet analysis of cerebrovascular dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002782
    DOI: 10.1016/j.chaos.2021.110924
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    1. Pavlov, A.N. & Semyachkina-Glushkovskaya, O.V. & Pavlova, O.N. & Abdurashitov, A.S. & Shihalov, G.M. & Rybalova, E.V. & Sindeev, S.S., 2016. "Multifractality in cerebrovascular dynamics: an approach for mechanisms-related analysis," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 210-213.
    2. Pavlov, A.N. & Abdurashitov, A.S. & Sindeeva, O.A. & Sindeev, S.S. & Pavlova, O.N. & Shihalov, G.M. & Semyachkina-Glushkovskaya, O.V., 2016. "Characterizing cerebrovascular dynamics with the wavelet-based multifractal formalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 149-155.
    3. Pavlova, O.N. & Pavlov, A.N., 2019. "Scaling features of intermittent dynamics: Differences of characterizing correlated and anti-correlated data sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
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    Cited by:

    1. Guyo, G.A. & Pavlov, A.N. & Pitsik, E.N. & Frolov, N.S. & Badarin, A.A. & Grubov, V.V. & Pavlova, O.N. & Hramov, A.E., 2022. "Cumulant analysis in wavelet space for studying effects of aging on electrical activity of the brain," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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