The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Models of cardiac tissue electrophysiology: progress, challenges and open questions

RH Clayton, O Bernus, EM Cherry, H Dierckx… - Progress in biophysics …, 2011 - Elsevier
Models of cardiac tissue electrophysiology are an important component of the Cardiac
Physiome Project, which is an international effort to build biophysically based multi-scale …

Whole-heart modeling: applications to cardiac electrophysiology and electromechanics

NA Trayanova - Circulation research, 2011 - Am Heart Assoc
Recent developments in cardiac simulation have rendered the heart the most highly
integrated example of a virtual organ. We are on the brink of a revolution in cardiac …

[图书][B] Synchronization in oscillatory networks

GV Osipov, J Kurths, C Zhou - 2007 - books.google.com
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

[图书][B] Computing the electrical activity in the heart

J Sundnes, GT Lines, X Cai, BF Nielsen, KA Mardal… - 2007 - books.google.com
The heart is a fantastic machine; during a normal lifetime it beats about 2.5 billion times and
pumps 200.000 tons of blood through an enormous system of vessels extending 160.000 …

Nonlinear and stochastic dynamics in the heart

Z Qu, G Hu, A Garfinkel, JN Weiss - Physics reports, 2014 - Elsevier
In a normal human life span, the heart beats about 2–3 billion times. Under diseased
conditions, a heart may lose its normal rhythm and degenerate suddenly into much faster …

[HTML][HTML] Efficient computation of electrograms and ECGs in human whole heart simulations using a reaction-eikonal model

A Neic, FO Campos, AJ Prassl, SA Niederer… - Journal of computational …, 2017 - Elsevier
Anatomically accurate and biophysically detailed bidomain models of the human heart have
proven a powerful tool for gaining quantitative insight into the links between electrical …

Mechanisms of discordant alternans and induction of reentry in simulated cardiac tissue

Z Qu, A Garfinkel, PS Chen, JN Weiss - Circulation, 2000 - Am Heart Assoc
Background—T-wave alternans, which is associated with the genesis of cardiac fibrillation,
has recently been related to discordant action potential duration (APD) alternans. However …

[HTML][HTML] Anatomically accurate high resolution modeling of human whole heart electromechanics: a strongly scalable algebraic multigrid solver method for nonlinear …

CM Augustin, A Neic, M Liebmann, AJ Prassl… - Journal of computational …, 2016 - Elsevier
Electromechanical (EM) models of the heart have been used successfully to study
fundamental mechanisms underlying a heart beat in health and disease. However, in all …

Spatial resolution requirements for accurate identification of drivers of atrial fibrillation

CH Roney, CD Cantwell, JD Bayer… - Circulation …, 2017 - Am Heart Assoc
Background—Recent studies have demonstrated conflicting mechanisms underlying atrial
fibrillation (AF), with the spatial resolution of data often cited as a potential reason for the …