ArticleJournal of the Royal Society, Interface2014
Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization.
Article in Journal of the Royal Society, Interface, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.
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Who cites it
28 citing papers in PubMed, 211 citations in OpenAlex.
- Spatially heterogeneous ionic remodelling promotes wavefront instability in simulated atrial tissue.Frontiers in network physiology · 2026Article
- Mechanism of Arrhythmogenesis Driven by Early After Depolarizations in Cardiac Tissue.PLoS computational biology · 2025Article
- Harnessing 12-lead ECG and MRI data to personalise repolarisation profiles in cardiac digital twin models for enhanced virtual drug testing.Medical image analysis · 2025Article
- Mechanisms of Myocardial Edema Development in CVD Pathophysiology.Biomedicines · 2024Review
- Analytic modeling of neural tissue: II. Nonlinear membrane dynamics.AIP advances · 2022Article
- GEASI: Geodesic-based earliest activation sites identification in cardiac models.International journal for numerical methods in biomedical engineering · 2021Article
- The fractional nonlinear [Formula: see text] dimer.Scientific reports · 2021Article
- A three-compartment non-linear model of myocardial cell conduction block during photosensitization.Medical & biological engineering & computing · 2021Article
- EP-PINNs: Cardiac Electrophysiology Characterisation Using Physics-Informed Neural Networks.Frontiers in cardiovascular medicine · 2021Article
- All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations.Calcolo · 2021Article
- Sensitivity analysis of an electrophysiology model for the left ventricle.Journal of the Royal Society, Interface · 2020Article
- Emergence of bursting in a network of memory dependent excitable and spiking leech-heart neurons.Journal of the Royal Society, Interface · 2020Article
- Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study.Communications in nonlinear science & numerical simulation · 2020Article
- Non-ohmic tissue conduction in cardiac electrophysiology: Upscaling the non-linear voltage-dependent conductance of gap junctions.PLoS computational biology · 2020Article
- Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative.Entropy (Basel, Switzerland) · 2018Article
- Validation and Trustworthiness of Multiscale Models of Cardiac Electrophysiology.Frontiers in physiology · 2018Review
- Muscle Thickness and Curvature Influence Atrial Conduction Velocities.Frontiers in physiology · 2018Article
- Commentary: Atrial Rotor Dynamics Under Complex Fractional Order Diffusion.Frontiers in physiology · 2018Article
- Atrial Rotor Dynamics Under Complex Fractional Order Diffusion.Frontiers in physiology · 2018Article
- Modeling dynamics in diseased cardiac tissue: Impact of model choice.Chaos (Woodbury, N.Y.) · 2017Article
Corrections and comments
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Authors and funding
5 authors at 2 institutions in 2 countries.
Funding
Abstract
Impulse propagation in biological tissues is known to be modulated by structural heterogeneity. In cardiac muscle, improved understanding on how this heterogeneity influences electrical spread is key to advancing our interpretation of dispersion of repolarization. We propose fractional diffusion models as a novel mathematical description of structurally heterogeneous excitable media, as a means of representing the modulation of the total electric field by the secondary electrical sources associated with tissue inhomogeneities. Our results, analysed against in vivo human recordings and experimental data of different animal species, indicate that structural heterogeneity underlies relevant characteristics of cardiac electrical propagation at tissue level. These include conduction effects on action potential (AP) morphology, the shortening of AP duration along the activation pathway and the progressive modulation by premature beats of spatial patterns of dispersion of repolarization. The proposed approach may also have important implications in other research fields involving excitable complex media.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.