4.7 Article

Fractional generalization of entropy improves the characterization of rotors in simulated atrial fibrillation

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 425, Issue -, Pages -

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2022.127077

Keywords

Atrial fibrillation; Rotors; Electrograms signal processing; Fractional entropy; Scientific computing

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This study characterizes rotors using a fractional generalization of the entropy concept and investigates the dynamics of atrial fibrillation propagation in computational models. The results demonstrate that the fractional entropy approach provides a better spatio-temporal characterization of rotor dynamics than conventional entropy analysis under various simulated fibrillation conditions.
Atrial fibrillation (AF) underlies disordered spatiotemporal electrical activity, that increases in complexity with the persistence of the arrhythmia. It has been hypothesized that a specific arrhythmogenic mechanism, known as rotor, is the main driver sustaining the AF. Thus, the ablation of rotors has been suggested as a therapeutic strategy to terminate the arrhythmia. Nonetheless, such strategy poses a problem related with the characterization of the rotor propagating activity. This work addresses the rotor characterization by means of a fractional generalization of the entropy concept. By adopting complex order derivative operators, we endorse the definition of information content. The derived metric is used to study the AF propagation dynamics in computational models. The results evince that the fractional entropy approach yields a better spatio-temporal characterization of rotor dynamics than the conventional entropy analysis, under a wide range of simulated fibrillation conditions.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

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