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Inverse problems in blood flow modeling: A review
Mathematical and computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …
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
While ventricular electromechanics is extensively studied in both physiological and
pathological conditions, four-chamber heart models have only been addressed recently; …
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
Physics-based computational models of the cardiovascular system are increasingly used to
simulate hemodynamics, tissue mechanics, and physiology in evolving healthy and …
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
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 …
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 …
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
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 …
cardiovascular function and dysfunction. Due to the complexity of the anatomy, the …
[LLIBRE][B] Optimal control of partial differential equations
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 …
suitable mathematical framework for their analysis, how to approximate them numerically …
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations
Since myocardial fibers drive the electric signal propagation throughout the myocardium,
accurately modeling their arrangement is essential for simulating heart electrophysiology …
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
We propose a novel mathematical and numerical model for cardiac electromechanics,
wherein biophysically detailed core models describe the different physical processes …
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
We introduce a multiphysics and geometric multiscale computational model, suitable to
describe the hemodynamics of the whole human heart, driven by a four-chamber …
describe the hemodynamics of the whole human heart, driven by a four-chamber …