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math.NA2025

Cardiocirculatory Computational Models for the Study of Hypertension

Simone Celora, Andrea Tonini, Francesco Regazzoni +3

In this work, we develop patient-specific cardiocirculatory models with the aim of building Digital Twins for hypertension. In particular, in our pathophysiology-based framework, w…

math.NA2025

Improvements on uncertainty quantification with variational autoencoders

Andrea Tonini, Tan Bui-Thanh, Francesco Regazzoni +2

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. I…

math.NA2025

A reduced 3D-0D FSI model of the aortic valve including leaflet curvature

Ivan Fumagalli, Luca Dede', Alfio Quarteroni

We introduce an innovative lumped-parameter model of the aortic valve, designed to efficiently simulate the impact of valve dynamics on blood flow. Our reduced model includes the e…

math.NA2025

Influence of cellular mechano-calcium feedback in numerical models of cardiac electromechanics

Irena Radišić, Francesco Regazzoni, Michele Bucelli +3

Multiphysics and multiscale mathematical models enable the non-invasive study of cardiac function. These models often rely on simplifying assumptions that neglect certain biophysic…

math.NA2025

Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning

Alfio Quarteroni, Paola Gervasio, Francesco Regazzoni

Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problem…

math.NA2024

Two new calibration techniques of lumped-parameter mathematical models for the cardiovascular system

Andrea Tonini, Francesco Regazzoni, Matteo Salvador +7

Cardiocirculatory mathematical models serve as valuable tools for investigating physiological and pathological conditions of the circulatory system. To investigate the clinical con…