[HTML][HTML] A machine learning method for real-time numerical simulations of cardiac electromechanics
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 …
that approximates the dynamics of 3D electromechanical models for the human heart …
[HTML][HTML] Accelerating the convergence to a limit cycle in 3D cardiac electromechanical simulations through a data-driven 0D emulator
The results of numerical simulations of cardiac electromechanics are typically characterized
by a long transient before reaching a periodic solution known as limit cycle. This yields a …
by a long transient before reaching a periodic solution known as limit cycle. This yields a …
Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction
We review and compare different fluid-structure interaction (FSI) numerical methods in the
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
Efficient approximation of cardiac mechanics through reduced‐order modeling with deep learning‐based operator approximation
Reducing the computational time required by high‐fidelity, full‐order models (FOMs) for the
solution of problems in cardiac mechanics is crucial to allow the translation of patient …
solution of problems in cardiac mechanics is crucial to allow the translation of patient …
Modeling the cardiac electromechanical function: A mathematical journey
In this paper we introduce the electromechanical mathematical model of the human heart.
After deriving it from physical first principles, we discuss its mathematical properties and the …
After deriving it from physical first principles, we discuss its mathematical properties and the …
A reduced 3D-0D FSI model of the aortic valve including leaflets curvature
I Fumagalli - arxiv preprint arxiv:2106.00571, 2021 - arxiv.org
In the present work, we propose a novel lumped-parameter model for the description of the
aortic valve dynamics, including elastic effects associated to the leaflets' curvature. The …
aortic valve dynamics, including elastic effects associated to the leaflets' curvature. The …
[PDF][PDF] Stabilization of staggered time discretization schemes for 0D-3D fluid-structure interaction problems
F Regazzoni - MOX report, 2022 - mate.polimi.it
In this paper we analyze the numerical oscillations affecting time-staggered schemes for 0D-
3D fluid-structure interaction (FSI) problems, which arise eg in the field of cardiovascular …
3D fluid-structure interaction (FSI) problems, which arise eg in the field of cardiovascular …
Mathematical and numerical models for the cardiac electromechanical function
This paper deals with the mathematical model that describes the function of the human
heart. More specifically, it addresses the equations that express the electromechanical …
heart. More specifically, it addresses the equations that express the electromechanical …
Mathematical and numerical modeling of cardiac fiber generation and electromechanical function: towards a realistic simulation of the whole heart
R Piersanti - 2021 - politesi.polimi.it
Cardiovascular diseases are the primary cause of mortality worldwide, affecting millions of
people every year. Although advancements in medical practice are continuously improving …
people every year. Although advancements in medical practice are continuously improving …
Efficient reduced order modeling for nonlinear parameterized problems in elastodynamics: application to cardiac mechanics
L Cicci - 2021 - politesi.polimi.it
In this Thesis we propose new computationally efficient solutions to nonlinear,
parameterized time-dependent problems by means of reduced order models (ROMs). More …
parameterized time-dependent problems by means of reduced order models (ROMs). More …