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Название: Myocardial fibrosis in a 3D model: Effect of texture on wave propagation
Авторы: Dokuchaev, A.
Panfilov, A. V.
Solovyova, O.
Дата публикации: 2020
Издатель: MDPI AG
Библиографическое описание: Dokuchaev, A. Myocardial fibrosis in a 3D model: Effect of texture on wave propagation / A. Dokuchaev, A. V. Panfilov, O. Solovyova. — DOI 10.17582/JOURNAL.AAVS/2020/8.9.940.950 // Mathematics. — 2020. — Vol. 8. — Iss. 8. — 1352.
Аннотация: Non-linear electrical waves propagate through the heart and control cardiac contraction. Abnormal wave propagation causes various forms of the heart disease and can be lethal. One of the main causes of abnormality is a condition of cardiac fibrosis, which, from mathematical point of view, is the presence of multiple non-conducting obstacles for wave propagation. The fibrosis can have different texture which varies from diffuse (e.g., small randomly distributed obstacles), patchy (e.g., elongated interstitional stria), and focal (e.g., post-infarct scars) forms. Recently, Nezlobinsky et al. (2020) used 2D biophysical models to quantify the effects of elongation of obstacles (fibrosis texture) and showed that longitudinal and transversal propagation differently depends on the obstacle length resulting in anisotropy for wave propagation. In this paper, we extend these studies to 3D tissue models. We show that 3D consideration brings essential new effects; for the same obstacle length in 3D systems, anisotropy is about two times smaller compared to 2D, however, wave propagation is more stable with percolation threshold of about 60% (compared to 35% in 2D). The percolation threshold increases with the obstacle length for the longitudinal propagation, while it decreases for the transversal propagation. Further, in 3D, the dependency of velocity on the obstacle length for the transversal propagation disappears. © 2020 by the authors.
Ключевые слова: CARDIAC FIBROSIS
ELONGATED OBSTACLE
EXCITABLE MEDIA
WAVE BREAK
URI: http://elar.urfu.ru/handle/10995/90043
Условия доступа: info:eu-repo/semantics/openAccess
cc-by
Идентификатор SCOPUS: 85090010518
Идентификатор WOS: 000564902400001
Идентификатор PURE: 13656703
ISSN: 2227-7390
DOI: 10.17582/JOURNAL.AAVS/2020/8.9.940.950
Сведения о поддержке: Russian Foundation for Basic Research, RFBR: 18-29-13008
AAAA-A18-118020590031-8
A.D., A.V.P. and O.S. were funded by the Russian Foundation for Basic Research (#18-29-13008). A.V.P. and O.S. were funded by RF Government Act #211 of 16 March 2013 (agreement 02. A03.21.0006). A.D. and O.S. work was carried out within the framework of the IIP UB RAS theme No. AAAA-A18-118020590031-8. A.V.P. was partially funded by BOF Ghent University. We are thankful to Timur Nezlobinsky for help in setting up of computations.
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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