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 …

Arrhythmia risk stratification of patients after myocardial infarction using personalized heart models

HJ Arevalo, F Vadakkumpadan, E Guallar… - Nature …, 2016 - nature.com
Sudden cardiac death (SCD) from arrhythmias is a leading cause of mortality. For patients at
high SCD risk, prophylactic insertion of implantable cardioverter defibrillators (ICDs) reduces …

Physics-constrained deep active learning for spatiotemporal modeling of cardiac electrodynamics

J Xie, B Yao - Computers in Biology and Medicine, 2022 - Elsevier
The development of computational modeling and simulation have immensely benefited the
study of cardiac disease mechanisms and facilitated the optimal disease diagnosis and …

Verification of cardiac tissue electrophysiology simulators using an N-version benchmark

SA Niederer, E Kerfoot, AP Benson… - … of the Royal …, 2011 - royalsocietypublishing.org
Ongoing developments in cardiac modelling have resulted, in particular, in the development
of advanced and increasingly complex computational frameworks for simulating cardiac …

Patient-specific cardiovascular computational modeling: diversity of personalization and challenges

RA Gray, P Pathmanathan - Journal of cardiovascular translational …, 2018 - Springer
Patient-specific computer models have been developed representing a variety of aspects of
the cardiovascular system spanning the disciplines of electrophysiology, electromechanics …

Electromechanics of the heart: a unified approach to the strongly coupled excitation–contraction problem

S Göktepe, E Kuhl - Computational mechanics, 2010 - Springer
This manuscript is concerned with a novel, unified finite element approach to fully coupled
cardiac electromechanics. The intrinsic coupling arises from both the excitation-induced …

Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

KH Jæger, JD Trotter, X Cai, H Arevalo, A Tveito - Scientific Reports, 2024 - nature.com
Computational techniques have significantly advanced our understanding of cardiac
electrophysiology, yet they have predominantly concentrated on averaged models that do …

Benchmarking electrophysiological models of human atrial myocytes

M Wilhelms, H Hettmann, MM Maleckar… - Frontiers in …, 2013 - frontiersin.org
Mathematical modeling of cardiac electrophysiology is an insightful method to investigate
the underlying mechanisms responsible for arrhythmias such as atrial fibrillation (AF). In past …

From evidence-based medicine to digital twin technology for predicting ventricular tachycardia in ischaemic cardiomyopathy

AGW de Lepper, CMA Buck… - Journal of the …, 2022 - royalsocietypublishing.org
Survivors of myocardial infarction are at risk of life-threatening ventricular tachycardias (VTs)
later in their lives. Current guidelines for implantable cardioverter defibrillators (ICDs) …