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 …

[图书][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 …

Personalized cardiac computational models: from clinical data to simulation of infarct-related ventricular tachycardia

A Lopez-Perez, R Sebastian, M Izquierdo… - Frontiers in …, 2019 - frontiersin.org
In the chronic stage of myocardial infarction, a significant number of patients develop life-
threatening ventricular tachycardias (VT) due to the arrhythmogenic nature of the remodeled …

Estimation of personalized minimal purkinje systems from human electro-anatomical maps

F Barber, P Langfield, M Lozano… - … on Medical Imaging, 2021 - ieeexplore.ieee.org
The Purkinje system is a heart structure responsible for transmitting electrical impulses
through the ventricles in a fast and coordinated way to trigger mechanical contraction …

A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations

S Stella, F Regazzoni, C Vergara, L Dedé… - … Models and Methods …, 2022 - World Scientific
We present a new model of human cardiac electromechanics for the left ventricle where
electrophysiology is described by a Reaction–Eikonal model and which enables an off-line …

An inverse Eikonal method for identifying ventricular activation sequences from epicardial activation maps

T Grandits, K Gillette, A Neic, J Bayer… - Journal of computational …, 2020 - Elsevier
A key mechanism controlling cardiac function is the electrical activation sequence of the
heart's main pumping chambers termed the ventricles. As such, personalization of the …

A coupled 3D–1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network

C Vergara, M Lange, S Palamara, T Lassila… - Journal of …, 2016 - Elsevier
We present a model for the electrophysiology in the heart to handle the electrical
propagation through the Purkinje system and in the myocardium, with two-way coupling at …

Numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network

M Landajuela, C Vergara, A Gerbi… - … journal for numerical …, 2018 - Wiley Online Library
In this work, we consider the numerical approximation of the electromechanical coupling in
the left ventricle with inclusion of the Purkinje network. The mathematical model couples the …

Solving the Inverse Problem of Electrocardiography for Cardiac Digital Twins: A Survey

L Li, J Camps, B Rodriguez, V Grau - arXiv preprint arXiv:2406.11445, 2024 - arxiv.org
Cardiac digital twins are personalized virtual representations used to understand complex
heart mechanisms. Solving the ECG inverse problem is crucial for accurate virtual heart …

GEASI: Geodesic‐based earliest activation sites identification in cardiac models

T Grandits, A Effland, T Pock, R Krause… - … journal for numerical …, 2021 - Wiley Online Library
The identification of the initial ventricular activation sequence is a critical step for the correct
personalization of patient‐specific cardiac models. In healthy conditions, the Purkinje …