Percolation and tortuosity in heart-like cells

Abstract In the last several years, quite a few papers on the joint question of transport, tortuosity and percolation have appeared in the literature, dealing with passage of miscellaneous liquids or electrical currents in different media. However, these methods have not been applied to the passage...

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Autores principales:	R. Rabinovitch, Y. Biton, D. Braunstein, I. Aviram, R. Thieberger, A. Rabinovitch
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/65330dc79ca54b6a98090a89f44fbeeb
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spelling	oai:doaj.org-article:65330dc79ca54b6a98090a89f44fbeeb2021-12-02T15:57:11ZPercolation and tortuosity in heart-like cells10.1038/s41598-021-90892-22045-2322https://doaj.org/article/65330dc79ca54b6a98090a89f44fbeeb2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90892-2https://doaj.org/toc/2045-2322Abstract In the last several years, quite a few papers on the joint question of transport, tortuosity and percolation have appeared in the literature, dealing with passage of miscellaneous liquids or electrical currents in different media. However, these methods have not been applied to the passage of action potential in heart fibrosis (HF), which is crucial for problems of heart arrhythmia, especially of atrial tachycardia and fibrillation. In this work we address the HF problem from these aspects. A cellular automaton model is used to analyze percolation and transport of a distributed-fibrosis inflicted heart-like tissue. Although based on a rather simple mathematical model, it leads to several important outcomes: (1) It is shown that, for a single wave front (as the one emanated by the heart's sinus node), the percolation of heart-like matrices is exactly similar to the forest fire case. (2) It is shown that, on the average, the shape of the transport (a question not dealt with in relation to forest fire, and deals with the delay of action potential when passing a fibrotic tissue) behaves like a Gaussian. (3) Moreover, it is shown that close to the percolation threshold the parameters of this Gaussian behave in a critical way. From the physical point of view, these three results are an important contribution to the general percolation investigation. The relevance of our results to cardiological issues, specifically to the question of reentry initiation, are discussed and it is shown that: (A) Without an ectopic source and under a mere sinus node operation, no arrhythmia is generated, and (B) A sufficiently high refractory period could prevent some reentry mechanisms, even in partially fibrotic heart tissue.R. RabinovitchY. BitonD. BraunsteinI. AviramR. ThiebergerA. RabinovitchNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q R. Rabinovitch Y. Biton D. Braunstein I. Aviram R. Thieberger A. Rabinovitch Percolation and tortuosity in heart-like cells
description	Abstract In the last several years, quite a few papers on the joint question of transport, tortuosity and percolation have appeared in the literature, dealing with passage of miscellaneous liquids or electrical currents in different media. However, these methods have not been applied to the passage of action potential in heart fibrosis (HF), which is crucial for problems of heart arrhythmia, especially of atrial tachycardia and fibrillation. In this work we address the HF problem from these aspects. A cellular automaton model is used to analyze percolation and transport of a distributed-fibrosis inflicted heart-like tissue. Although based on a rather simple mathematical model, it leads to several important outcomes: (1) It is shown that, for a single wave front (as the one emanated by the heart's sinus node), the percolation of heart-like matrices is exactly similar to the forest fire case. (2) It is shown that, on the average, the shape of the transport (a question not dealt with in relation to forest fire, and deals with the delay of action potential when passing a fibrotic tissue) behaves like a Gaussian. (3) Moreover, it is shown that close to the percolation threshold the parameters of this Gaussian behave in a critical way. From the physical point of view, these three results are an important contribution to the general percolation investigation. The relevance of our results to cardiological issues, specifically to the question of reentry initiation, are discussed and it is shown that: (A) Without an ectopic source and under a mere sinus node operation, no arrhythmia is generated, and (B) A sufficiently high refractory period could prevent some reentry mechanisms, even in partially fibrotic heart tissue.
format	article
author	R. Rabinovitch Y. Biton D. Braunstein I. Aviram R. Thieberger A. Rabinovitch
author_facet	R. Rabinovitch Y. Biton D. Braunstein I. Aviram R. Thieberger A. Rabinovitch
author_sort	R. Rabinovitch
title	Percolation and tortuosity in heart-like cells
title_short	Percolation and tortuosity in heart-like cells
title_full	Percolation and tortuosity in heart-like cells
title_fullStr	Percolation and tortuosity in heart-like cells
title_full_unstemmed	Percolation and tortuosity in heart-like cells
title_sort	percolation and tortuosity in heart-like cells
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/65330dc79ca54b6a98090a89f44fbeeb
work_keys_str_mv	AT rrabinovitch percolationandtortuosityinheartlikecells AT ybiton percolationandtortuosityinheartlikecells AT dbraunstein percolationandtortuosityinheartlikecells AT iaviram percolationandtortuosityinheartlikecells AT rthieberger percolationandtortuosityinheartlikecells AT arabinovitch percolationandtortuosityinheartlikecells
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Percolation and tortuosity in heart-like cells

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