ArticleFrontiers in physiology2018
Atrial Rotor Dynamics Under Complex Fractional Order Diffusion.
Article in Frontiers in physiology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed, 27 citations in OpenAlex.
- A systematic review of explainable artificial intelligence and cardiac electrophysiological models addressing sports-related sudden cardiac death and arrest in adolescents and young adults.NPJ digital medicine · 2026Article
- Biomimetic Cardiac Tissue Models for In Vitro Arrhythmia Studies.Biomimetics (Basel, Switzerland) · 2023Review
- Entropy Mapping Approach for Functional Reentry Detection in Atrial Fibrillation: An In-Silico Study.Entropy (Basel, Switzerland) · 2019Article
- Commentary: Atrial Rotor Dynamics Under Complex Fractional Order Diffusion.Frontiers in physiology · 2018Article
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Authors and funding
4 authors at 4 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The mechanisms of atrial fibrillation (AF) are a challenging research topic. The rotor hypothesis states that the AF is sustained by a reentrant wave that propagates around an unexcited core. Cardiac tissue heterogeneities, both structural and cellular, play an important role during fibrillatory dynamics, so that the ionic characteristics of the currents, their spatial distribution and their structural heterogeneity determine the meandering of the rotor. Several studies about rotor dynamics implement the standard diffusion equation. However, this mathematical scheme carries some limitations. It assumes the myocardium as a continuous medium, ignoring, therefore, its discrete and heterogeneous aspects. A computational model integrating both, electrical and structural properties could complement experimental and clinical results. A new mathematical model of the action potential propagation, based on complex fractional order derivatives is presented. The complex derivative order appears of considering the myocardium as discrete-scale invariant fractal. The main aim is to study the role of a myocardial, with fractal characteristics, on atrial fibrillatory dynamics. For this purpose, the degree of structural heterogeneity is described through derivatives of complex order γ = α +
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