Publications related to Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

We give an extension of Le's stochastic sewing lemma. The stochastic sewing lemma proves convergence in

L_m

of Riemann type sums

\sum _{[s,t] \in \pi } A_{s,t}

for an adapted two-parameter stochastic process A, under certain conditions on the moments o ...

Cambridge Univ Press2024

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

Alfio Quarteroni, Francesco Regazzoni, Stefano Pagani, Marco Fedele

Background: Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational tools. Despite the dedicated endeavors ...

London2023

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

Alfio Quarteroni, Luca Dede'

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 includes reduced models for cardiac valves and the circulatory system. Our mod ...

WILEY2023

Efficient approximation of cardiac mechanics through reduced-order modeling with deep learning-based operator approximation

Alfio Quarteroni, Andrea Manzoni

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-specific simulations into clinical practice. Indeed, while FOMs, such as th ...

Hoboken2023

Geometrically-Conditioned Point Diffusion Models

Pascal Fua, Eduard Trulls Fortuny, Michal Jan Tyszkiewicz

Diffusion models generating images conditionally on text, such as Dall-E 2 [51] and Stable Diffusion[53], have recently made a splash far beyond the computer vision com- munity. Here, we tackle the related problem of generating point clouds, both unconditi ...

2023

A Wasserstein-based measure of conditional dependence

Negar Kiyavash, Seyed Jalal Etesami, Kun Zhang

Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of ability for group ...

2022

Dynamic Monte Carlo reactor modeling of calcium looping with sorbent purge and utilization decay

This work presents a new dynamic modelling approach for calcium looping systems that allows explicit sorbent deactivation and purge/makeup. These are common in plant operations, but often neglected in modelling. This model adopts a Monte Carlo approach, tr ...

2022

Mathematical and numerical models for the cardiac electromechanical function

Alfio Quarteroni, Francesco Regazzoni

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 process, that is the mechanical deformation (contraction and relaxation) of the he ...

EUROPEAN MATHEMATICAL SOC-EMS2021

Self-learning surrogate models in superstructure optimization

François Maréchal, Ivan Daniel Kantor, Julia Granacher, Michel Lopez

In this contribution, we propose an algorithm for replacing non-linear process simulation integrated in multi-level optimization of an energy system superstructure with surrogate models. With our approach, we demonstrate that surrogate models are a valid t ...

Elsevier2021

Biophysically detailed mathematical models of multiscale cardiac active mechanics

Alfio Quarteroni, Francesco Regazzoni

Author summary Computer-based numerical simulations of the heart are increasingly assuming a recognized role in the context of computational medicine and cardiology. They are based on mathematical models describing the different physical phenomena occurrin ...

2020

Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions

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An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

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

Efficient approximation of cardiac mechanics through reduced-order modeling with deep learning-based operator approximation

Geometrically-Conditioned Point Diffusion Models

A Wasserstein-based measure of conditional dependence

Dynamic Monte Carlo reactor modeling of calcium looping with sorbent purge and utilization decay

Mathematical and numerical models for the cardiac electromechanical function

Self-learning surrogate models in superstructure optimization

Biophysically detailed mathematical models of multiscale cardiac active mechanics

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

A Wasserstein-based measure of conditional dependence

Dynamic Monte Carlo reactor modeling of calcium looping with sorbent purge and utilization decay

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

Geometrically-Conditioned Point Diffusion Models

Mathematical and numerical models for the cardiac electromechanical function

Self-learning surrogate models in superstructure optimization

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

Efficient approximation of cardiac mechanics through reduced-order modeling with deep learning-based operator approximation

Biophysically detailed mathematical models of multiscale cardiac active mechanics