Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias

Abstract The mammalian heart must function as an efficient pump while simultaneously conducting electrical signals to drive the contraction process. In the ventricles, electrical activation begins at the insertion points of the Purkinje network in the endocardium. How does the diffusion component of...

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Autores principales:	Tristan Aumentado-Armstrong, Amir Kadivar, Peter Savadjiev, Steven W. Zucker, Kaleem Siddiqi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5c537656c93241c9bb20077c3506b3e4
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spelling	oai:doaj.org-article:5c537656c93241c9bb20077c3506b3e42021-12-02T11:40:17ZConduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias10.1038/s41598-018-25334-72045-2322https://doaj.org/article/5c537656c93241c9bb20077c3506b3e42018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25334-7https://doaj.org/toc/2045-2322Abstract The mammalian heart must function as an efficient pump while simultaneously conducting electrical signals to drive the contraction process. In the ventricles, electrical activation begins at the insertion points of the Purkinje network in the endocardium. How does the diffusion component of the subsequent excitation wave propagate from the endocardium in a healthy heart wall without creating directional biases? We show that this is a consequence of the particular geometric organization of myocytes in the heart wall. Using a generalized helicoid to model fiber orientation, we treat the myocardium as a curved space via Riemannian geometry, and then use stochastic calculus to model local signal diffusion. Our analysis shows that the helicoidal arrangement of myocytes minimizes the directional biases that could lead to aberrant propagation, thereby explaining how electrophysiological principles are consistent with local measurements of cardiac fiber geometry. We discuss our results in the context of the need to balance electrical and mechanical requirements for heart function.Tristan Aumentado-ArmstrongAmir KadivarPeter SavadjievSteven W. ZuckerKaleem SiddiqiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-10 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tristan Aumentado-Armstrong Amir Kadivar Peter Savadjiev Steven W. Zucker Kaleem Siddiqi Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
description	Abstract The mammalian heart must function as an efficient pump while simultaneously conducting electrical signals to drive the contraction process. In the ventricles, electrical activation begins at the insertion points of the Purkinje network in the endocardium. How does the diffusion component of the subsequent excitation wave propagate from the endocardium in a healthy heart wall without creating directional biases? We show that this is a consequence of the particular geometric organization of myocytes in the heart wall. Using a generalized helicoid to model fiber orientation, we treat the myocardium as a curved space via Riemannian geometry, and then use stochastic calculus to model local signal diffusion. Our analysis shows that the helicoidal arrangement of myocytes minimizes the directional biases that could lead to aberrant propagation, thereby explaining how electrophysiological principles are consistent with local measurements of cardiac fiber geometry. We discuss our results in the context of the need to balance electrical and mechanical requirements for heart function.
format	article
author	Tristan Aumentado-Armstrong Amir Kadivar Peter Savadjiev Steven W. Zucker Kaleem Siddiqi
author_facet	Tristan Aumentado-Armstrong Amir Kadivar Peter Savadjiev Steven W. Zucker Kaleem Siddiqi
author_sort	Tristan Aumentado-Armstrong
title	Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
title_short	Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
title_full	Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
title_fullStr	Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
title_full_unstemmed	Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
title_sort	conduction in the heart wall: helicoidal fibers minimize diffusion bias
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/5c537656c93241c9bb20077c3506b3e4
work_keys_str_mv	AT tristanaumentadoarmstrong conductionintheheartwallhelicoidalfibersminimizediffusionbias AT amirkadivar conductionintheheartwallhelicoidalfibersminimizediffusionbias AT petersavadjiev conductionintheheartwallhelicoidalfibersminimizediffusionbias AT stevenwzucker conductionintheheartwallhelicoidalfibersminimizediffusionbias AT kaleemsiddiqi conductionintheheartwallhelicoidalfibersminimizediffusionbias
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Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias

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