4.6 Article

Modeling and Estimation of Temporal Episode Patterns in Paroxysmal Atrial Fibrillation

Journal

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING
Volume 68, Issue 1, Pages 319-329

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TBME.2020.2995563

Keywords

Biological system modeling; Data models; Maximum likelihood estimation; Analytical models; Monitoring; Process modeling; Probability density function; Atrial fibrillation; point process modeling; alternating bivariate Hawkes model; maximum likelihood estimation; episode clustering

Funding

  1. Swedish Research Council [2016-03382]
  2. Research Council of Lithuania [S-MIP-17/81]
  3. Danish Council for Independent Research [DFF7014-00074]
  4. Villum Foundation [8721]
  5. Swedish Research Council [2016-03382] Funding Source: Swedish Research Council

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This study introduces a model-based, statistical approach to characterize episode patterns in paroxysmal atrial fibrillation (AF), showing different fitting results for different transition types and the association of model parameters with AF episode clustering. Point process modeling provides a detailed description of AF episode patterns, contributing to a better understanding of arrhythmia progression.
Objective: The present study proposes a model-based, statistical approach to characterizing episode patterns in paroxysmal atrial fibrillation (AF). Thanks to the rapid advancement of noninvasive monitoring technology, the proposed approach should become increasingly relevant in clinical practice. Methods: History-dependent point process modeling is employed to characterize AF episode patterns, using a novel alternating, bivariate Hawkes self-exciting model. In addition, a modified version of a recently proposed statistical model to simulate AF progression throughout a lifetime is considered, involving non-Markovian rhythm switching and survival functions. For each model, the maximum likelihood estimator is derived and used to find the model parameters from observed data. Results: Using three databases with a total of 59 long-term ECG recordings, the goodness-of-fit analysis demonstrates that the proposed alternating, bivariate Hawkes model fits SR-to-AF transitions in 40 recordings and AF-to-SR transitions in 51; the corresponding numbers for the AF model with non-Markovian rhythm switching are 40 and 11, respectively. Moreover, the results indicate that the model parameters related to AF episode clustering, i.e., aggregation of temporal AF episodes, provide information complementary to the well-known clinical parameter AF burden. Conclusion: Point process modeling provides a detailed characterization of the occurrence pattern of AF episodes that may improve the understanding of arrhythmia progression.

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