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 …

[HTML][HTML] A short history of the development of mathematical models of cardiac mechanics

SA Niederer, KS Campbell, SG Campbell - Journal of molecular and …, 2019 - Elsevier
Cardiac mechanics plays a crucial role in atrial and ventricular function, in the regulation of
growth and remodelling, in the progression of disease, and the response to treatment. The …

[HTML][HTML] A comprehensive and biophysically detailed computational model of the whole human heart electromechanics

M Fedele, R Piersanti, F Regazzoni, M Salvador… - Computer Methods in …, 2023 - Elsevier
While ventricular electromechanics is extensively studied in both physiological and
pathological conditions, four-chamber heart models have only been addressed recently; …

Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

R Piersanti, PC Africa, M Fedele, C Vergara… - Computer Methods in …, 2021 - Elsevier
Since myocardial fibers drive the electric signal propagation throughout the myocardium,
accurately modeling their arrangement is essential for simulating heart electrophysiology …

[HTML][HTML] Electro-mechanical whole-heart digital twins: a fully coupled multi-physics approach

T Gerach, S Schuler, J Fröhlich, L Lindner… - Mathematics, 2021 - mdpi.com
Mathematical models of the human heart are evolving to become a cornerstone of precision
medicine and support clinical decision making by providing a powerful tool to understand …

[КНИГА][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 …

Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators

M Strocchi, S Longobardi, CM Augustin… - PLoS Computational …, 2023 - journals.plos.org
Cardiac pump function arises from a series of highly orchestrated events across multiple
scales. Computational electromechanics can encode these events in physics-constrained …

The importance of the pericardium for cardiac biomechanics: from physiology to computational modeling

MR Pfaller, JM Hörmann, M Weigl, A Nagler… - … and modeling in …, 2019 - Springer
The human heart is enclosed in the pericardial cavity. The pericardium consists of a layered
thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in …

Fully coupled fluid‐electro‐mechanical model of the human heart for supercomputers

A Santiago, J Aguado‐Sierra… - … journal for numerical …, 2018 - Wiley Online Library
In this work, we present a fully coupled fluid‐electro‐mechanical model of a 50th percentile
human heart. The model is implemented on Alya, the BSC multi‐physics parallel code …