Inverse problems in blood flow modeling: A review

D Nolte, C Bertoglio - International journal for numerical …, 2022 - Wiley Online Library
Mathematical and computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …

[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; …

[HTML][HTML] Beyond CFD: Emerging methodologies for predictive simulation in cardiovascular health and disease

EL Schwarz, L Pegolotti, MR Pfaller… - Biophysics Reviews, 2023 - pubs.aip.org
Physics-based computational models of the cardiovascular system are increasingly used to
simulate hemodynamics, tissue mechanics, and physiology in evolving healthy and …

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 …

[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 …

lifex-cfd: An open-source computational fluid dynamics solver for cardiovascular applications

PC Africa, I Fumagalli, M Bucelli, A Zingaro… - Computer Physics …, 2024 - Elsevier
Computational fluid dynamics (CFD) is an important tool for the simulation of the
cardiovascular function and dysfunction. Due to the complexity of the anatomy, the …

[LLIBRE][B] Optimal control of partial differential equations

A Manzoni, A Quarteroni, S Salsa - 2021 - Springer
This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

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] 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 …

[HTML][HTML] An electromechanics-driven fluid dynamics model for the simulation of the whole human heart

A Zingaro, M Bucelli, R Piersanti, F Regazzoni… - Journal of …, 2024 - Elsevier
We introduce a multiphysics and geometric multiscale computational model, suitable to
describe the hemodynamics of the whole human heart, driven by a four-chamber …