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math.NA2026

A stability-preserving polytopal discontinuous Galerkin method for the Fisher-Kolmogorov model with applications to neurodegenerative disease modelling

Paola Francesca Antonietti, Francesca Bonizzoni, Mattia Corti +3

The Fisher--Kolmogorov equation models the spatio-temporal evolution of interacting biological species and is extensively employed in fields such as ecology, population dynamics, a…

math.NA2026

The functional impact of myofiber macroscopic organization and disarray in computational models of the murine heart

Carlo Guastamacchia, Roberto Piersanti, Francesco Giardini +5

A major challenge in computational models of cardiac electromechanics is the reconstruction of myocardial fiber architecture, as direct in vivo measurements of fiber orientation ar…

math.NA2026

The internal law of a material can be discovered from its boundary

Francesco Regazzoni

Since the earliest stages of human civilization, advances in technology have been tightly linked to our ability to understand and predict the mechanical behavior of materials. In r…

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

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…