Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions

Author:

Barà Chiara1ORCID,Sparacino Laura1ORCID,Pernice Riccardo1ORCID,Antonacci Yuri1ORCID,Porta Alberto23ORCID,Kugiumtzis Dimitris4ORCID,Faes Luca1ORCID

Affiliation:

1. Department of Engineering, University of Palermo 1 , 90128 Palermo, Italy

2. Department of Biomedical Sciences for Health, University of Milan 2 , 20133 Milan, Italy

3. Department of Cardiothoracic, Vascular Anesthesia and Intensive Care, IRCCS Policlinico San Donato 3 , 20097 San Donato Milanese Milan, Italy

4. Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki 4 , 54124 Thessaloniki, Greece

Abstract

This work presents a comparison between different approaches for the model-free estimation of information-theoretic measures of the dynamic coupling between short realizations of random processes. The measures considered are the mutual information rate (MIR) between two random processes X and Y and the terms of its decomposition evidencing either the individual entropy rates of X and Y and their joint entropy rate, or the transfer entropies from X to Y and from Y to X and the instantaneous information shared by X and Y. All measures are estimated through discretization of the random variables forming the processes, performed either via uniform quantization (binning approach) or rank ordering (permutation approach). The binning and permutation approaches are compared on simulations of two coupled non-identical Hènon systems and on three datasets, including short realizations of cardiorespiratory (CR, heart period and respiration flow), cardiovascular (CV, heart period and systolic arterial pressure), and cerebrovascular (CB, mean arterial pressure and cerebral blood flow velocity) measured in different physiological conditions, i.e., spontaneous vs paced breathing or supine vs upright positions. Our results show that, with careful selection of the estimation parameters (i.e., the embedding dimension and the number of quantization levels for the binning approach), meaningful patterns of the MIR and of its components can be achieved in the analyzed systems. On physiological time series, we found that paced breathing at slow breathing rates induces less complex and more coupled CR dynamics, while postural stress leads to unbalancing of CV interactions with prevalent baroreflex coupling and to less complex pressure dynamics with preserved CB interactions. These results are better highlighted by the permutation approach, thanks to its more parsimonious representation of the discretized dynamic patterns, which allows one to explore interactions with longer memory while limiting the curse of dimensionality.

Funder

Italian Ministry of Education, University and Research

European Social Fund

SiciliAn MicronanOTecH Research And Innovation CEnter “SAMOTHRACE”

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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