Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization

Type
Article

Authors
Bueno-Orovio, Alfonso
Kay, David
Grau, Vicente
Rodriguez, Blanca
Burrage, Kevin

KAUST Grant Number
KUK-C1-013-04

Date
2014

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.

Citation
Bueno-Orovio, A., Kay, D., Grau, V., Rodriguez, B., & Burrage, K. (2014). Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization. Journal of The Royal Society Interface, 11(97), 20140352. doi:10.1098/rsif.2014.0352

Acknowledgements
This study is based on work supported by award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology. V.G. is supported by BBSRC grant no. BB/I012117/1 and EPSRC grant no. EP/J013250/1. A.B.O. and B.R. are supported by B.R.’s Wellcome Trust Senior Research Fellowship in Basic Biomedical Sciences.

Publisher
The Royal Society

Journal
JOURNAL OF THE ROYAL SOCIETY INTERFACE

DOI
10.1098/rsif.2014.0352

Additional Links
https://royalsocietypublishing.org/doi/10.1098/rsif.2014.0352

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