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 …

Solving the inverse problem of electrocardiography for cardiac digital twins: A survey

L Li, J Camps, B Rodriguez… - IEEE Reviews in …, 2024 - ieeexplore.ieee.org
Cardiac digital twins (CDTs) are personalized virtual representations used to understand
complex cardiac mechanisms. A critical component of CDT development is solving the ECG …

[BUCH][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Physiological-model-constrained noninvasive reconstruction of volumetric myocardial transmembrane potentials

L Wang, H Zhang, KCL Wong, H Liu… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Personalized noninvasive imaging of subject-specific cardiac electrical activity can guide
and improve preventive diagnosis and treatment of cardiac arrhythmia. Compared to body …

How accurate is inverse electrocardiographic map**? A systematic in vivo evaluation

LR Bear, IJ LeGrice, GB Sands, NA Lever… - Circulation …, 2018 - ahajournals.org
Background: Inverse electrocardiographic map** reconstructs cardiac electrical activity
from recorded body surface potentials. This noninvasive technique has been used to identify …

Noninvasive imaging of cardiac transmembrane potentials within three-dimensional myocardium by means of a realistic geometry anisotropic heart model

B He, G Li, X Zhang - IEEE Transactions on Biomedical …, 2003 - ieeexplore.ieee.org
We have developed a new approach for imaging cardiac transmembrane potentials (TMPs)
within the three-dimensional (3-D) myocardium by means of an anisotropic heart model. The …

A strategy for integrative computational physiology

P Hunter, P Nielsen - Physiology, 2005 - journals.physiology.org
Organ function (the heart beat for example) can only be understood through knowledge of
molecular and cellular processes within the constraints of structure-function relations at the …

Forward problem of electrocardiography: is it solved?

LR Bear, LK Cheng, IJ LeGrice, GB Sands… - Circulation …, 2015 - ahajournals.org
Background—The relationship between epicardial and body surface potentials defines the
forward problem of electrocardiography. A robust formulation of the forward problem is …

Cardiac Electrophysiological Imaging: Solving the Inverse Problem of Electrocardiography

B He, C Liu - Cardiac Electrophysiology Methods and Models, 2010 - Springer
In this chapter, we review the concepts, principles, and potential applications of cardiac
electrophysiological imaging. First, the idea and history of the ECG inverse problem is …

ECG diagnosis of acute ischaemia and infarction: past, present and future

N Herring, DJ Paterson - Journal of the Association of Physicians, 2006 - academic.oup.com
A century has passed since Einthoven published his description of the human
electrocardiogram (ECG), recorded using a string galvanometer. The basic principles of this …