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 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; …

A contemporary look at biomechanical models of myocardium

R Avazmohammadi, JS Soares, DS Li… - Annual review of …, 2019 - annualreviews.org
Understanding and predicting the mechanical behavior of myocardium under healthy and
pathophysiological conditions are vital to developing novel cardiac therapies and promoting …

A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

M Bucelli, A Zingaro, PC Africa… - … journal for numerical …, 2023 - Wiley Online Library
We propose a mathematical and numerical model for the simulation of the heart function that
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …

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 …

Chaste: an open source C++ library for computational physiology and biology

GR Mirams, CJ Arthurs, MO Bernabeu… - PLoS computational …, 2013 - journals.plos.org
Chaste—C ancer, H eart A nd S oft T issue E nvironment—is an open source C++ library for
the computational simulation of mathematical models developed for physiology and biology …

[HTML][HTML] A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation

F Regazzoni, M Salvador, PC Africa, M Fedele… - Journal of …, 2022 - Elsevier
We propose a novel mathematical and numerical model for cardiac electromechanics,
wherein biophysically detailed core models describe the different physical processes …

[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 …

[HTML][HTML] A machine learning method for real-time numerical simulations of cardiac electromechanics

F Regazzoni, M Salvador, L Dedè… - Computer methods in …, 2022 - Elsevier
We propose a machine learning-based method to build a system of differential equations
that approximates the dynamics of 3D electromechanical models for the human heart …

Active stress vs. active strain in mechanobiology: constitutive issues

D Ambrosi, S Pezzuto - Journal of Elasticity, 2012 - Springer
Many biological tissues exhibit a non-standard continuum mechanics behavior: they are
able to modify their placement in absence of external loads. The activity of the muscles is …