Mathematical model of the anatomy and fibre orientation field of the left ventricle of the heart / Pravdin Sergey F.,Berdyshev Vitaly I.,Panfilov Alexander V.,Katsnelson Leonid B.,Solovyova Olga,Markhasin Vladimir S. // BIOMEDICAL ENGINEERING ONLINE. - 2013. - V. 12, l. .

ISSN/EISSN:

1475-925X / нет данных

Type:

Article

Abstract:

Background: One of the main factors affecting propagation of electrical waves and contraction in ventricles of the heart is anisotropy of cardiac tissue. Anisotropy is determined by orientation of myocardial fibres. Determining fibre orientation field and shape of the heart is important for anatomically accurate modelling of electrical and mechanical function of the heart. The aim of this paper is to introduce a theoretical rule-based model for anatomy and fibre orientation of the left ventricle (LV) of the heart and to compare it with experimental data. We suggest explicit analytical formulae that allow us to obtain the left ventricle form and its fibre direction field. The ventricle band concept of cardiac architecture given by Torrent-Guasp is chosen as the model postulate. Methods: In our approach, anisotropy of the heart is derived from some general principles. The LV is considered as a set of identical spiral surfaces, each of which can be produced from the other by rotation around one vertical axis. Each spiral surface is filled with non-intersecting curves which represent myocardial fibres. For model verification, we use experimental data on fibre orientation in human and canine hearts. Results: LV shape and anisotropy are represented by explicit analytical expressions in a curvilinear 3-D coordinate system. The derived fibre orientation field shows good qualitative agreement with experimental data. The model reveals the most thorough quantitative simulation of fibre angles at the LV middle zone. Conclusions: Our analysis shows that the band concept can generate realistic anisotropy of the LV. Our model shows good qualitative agreement between the simulated fibre orientation field and the experimental data on LV anisotropy, and the model can be used for various numerical simulations to study the effects of anisotropy on cardiac excitation and mechanical function.

Author keywords:

Mathematical anatomy; Left ventricle of the mammalian heart; Mathematical modelling of the cardiac form and structure LAMINAR STRUCTURE; CARDIAC-MUSCLE; WALL MECHANICS; ARCHITECTURE; ARRANGEMENT; MYOCARDIUM; GEOMETRY; DISEASE; RHYTHM; DOG

DOI:

10.1186/1475-925X-12-54

Web of Science ID:

ISI:000321219600001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN 18
Publisher	BIOMED CENTRAL LTD
Address	236 GRAYS INN RD, FLOOR 6, LONDON WC1X 8HL, ENGLAND
Language	English
Article-Number	54
Keywords-Plus	LAMINAR STRUCTURE; CARDIAC-MUSCLE; WALL MECHANICS; ARCHITECTURE; ARRANGEMENT; MYOCARDIUM; GEOMETRY; DISEASE; RHYTHM; DOG
Research-Areas	Engineering
Web-of-Science-Categories	Engineering, Biomedical
Author-Email	sergey.pravdin@ugent.be
ResearcherID-Numbers	Panfilov, Alexander/G-8459-2016 Pravdin, Sergei/O-8888-2016 Solovyova, Olga/T-8232-2017 Berdyshev, Vitalii/Q-1761-2017
ORCID-Numbers	Panfilov, Alexander/0000-0003-2643-642X Pravdin, Sergei/0000-0003-4053-8895
Funding-Acknowledgement	Presidium of Urals Branch of the Russian Academy of Sciences {[}12-M-14-2009]; Flemish Community of Belgium {[}1F2B8M/JDW/2010-2011/10-BTL-RUS-01]; Ghent University {[}01SF1511]; Russian Foundation for Basic Research {[}13-01-96048]; Government of Sverdlovsk Region
Funding-Text	This work was supported by the Presidium of Urals Branch of the Russian Academy of Sciences (project 12-M-14-2009), the Flemish Community of Belgium (grant 1F2B8M/JDW/2010-2011/10-BTL-RUS-01), Ghent University (grant 01SF1511), Russian Foundation for Basic Research (grant 13-01-96048) and the Government of Sverdlovsk Region. The authors thank Hans Dierckx for his help in the preparation of the article.
Number-of-Cited-References	43
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	43
Journal-ISO	Biomed. Eng. Online
Doc-Delivery-Number	175GT