12 citations · 24 across the 17 of their papers we have counts for
18 papers
Global existence for Consensus-Based Kinetic Models for Image Segmentation
Abramo Agosti, Pierluigi Colli, Elisabetta Rocca +1
In this article, we analyze a recently introduced kinetic model based on Hegselmann-Krause-type interaction dynamics describing consensus-based image segmentation in the mean-field…
Numerical analysis and coarsening dynamics of the Active Cahn-Hilliard equation
Abramo Agosti, Andrea Giorgini
We investigate the analysis and phase ordering dynamics of the active Cahn--Hilliard equation, providing novel results beyond the current state of the art concerning the well-posed…
Characterizing the Dynamics of Muscle Regeneration in the mdx Mouse Model
Elena Scibona, Davide Carbone, Lamberto Rondoni +1
In this work, we explore a model of immune response in the skeletal muscle of the mdx mouse, the preferred animal model for studying Duchenne Muscular Dystrophy. The system studied…
Carleman estimates for backward Cahn-Hilliard-reaction-diffusion problems
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
We study a backward inverse problem for a coupled Cahn-Hilliard-reaction-diffusion system. Our main result is a Carleman estimate for a fourth-order/second-order parabolic system w…
Identifying early tumour states in a Cahn-Hilliard-reaction-diffusion model
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
In this paper, we tackle the problem of reconstructing earlier tumour configurations starting from a single spatial measurement at a later time. We describe the tumour evolution th…
Large deformations in terms of stretch and rotation and local solution to the non-stationary problem
Abramo Agosti, Michel Fremond
In this paper we consider and generalize a model, recently proposed and analytically investigated in its quasi-stationary approximation by the authors, for visco-elasticity with la…
Analysis of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model with chemotaxis and angiogenesis
Abramo Agosti, Andrea Signori
We introduce a multi-species diffuse interface model for tumor growth, characterized by its incorporation of essential features related to chemotaxis, angiogenesis and proliferatio…
Energy-variational solutions for viscoelastic fluid models
Abramo Agosti, Robert Lasarzik, Elisabetta Rocca
In this article, we introduce the concept of energy-variational solutions for a large class of systems of nonlinear evolutionary partial differential equations. Under certain conve…
Large deformations in terms of stretch and rotation and global solution to the quasi-stationary problem
Abramo Agosti, Pierluigi Colli, Michel Frémond
In this paper we derive a new model for visco-elasticity with large deformations where the independent variables are the stretch and the rotation tensors which intervene with secon…
Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential
Abramo Agosti, Elisabetta Rocca, Luca Scarpa
In this paper we study a non-local Cahn-Hilliard equation with singular single-well potential and degenerate mobility. This results as a particular case of a more general model der…
Deep Anatomical Federated Network (Dafne): An open client-server framework for the continuous, collaborative improvement of deep learning-based medical image segmentation
Francesco Santini, Jakob Wasserthal, Abramo Agosti +11
Purpose: To present and evaluate Dafne (deep anatomical federated network), a freely available decentralized, collaborative deep learning system for the semantic segmentation of ra…
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new Cahn-Hilliard phase field model coupled to incompressible viscoelasticity at large strains, obtained from a diffuse interface mixture model and formulated in the E…
A Cahn-Hilliard model coupled to viscoelasticity with large deformations
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic pr…
An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis
Abramo Agosti, Alice Giotta Lucifero, Sabino Luzzi
We develop a new four-phase tumor growth model with angiogenesis, derived from a diffuse-interface mixture model composed by a viable, a necrotic, a liquid and an angiogenetic comp…
Quantification of pulmonary involvement in COVID-19 pneumonia by means of a cascade oftwo U-nets: training and assessment on multipledatasets using different annotation criteria
Francesca Lizzi, Abramo Agosti, Francesca Brero +11
The automatic assignment of a severity score to the CT scans of patients affected by COVID-19 pneumonia could reduce the workload in radiology departments. This study aims at explo…
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data
Abramo Agosti, Pasquale Ciarletta, Harald Garcke +1
Parameters in mathematical models for glioblastoma multiforme (GBM) tumour growth are highly patient specific. Here we aim to estimate parameters in a Cahn-Hilliard type diffuse in…
The self-organised, non-equilibrium dynamics of spontaneous cancerous buds
Abramo Agosti, Stefano Marchesi, Giorgio Scita +1
Tissue self-organization into defined and well-controlled three-dimensional structures is essential during development for the generation of organs. A similar, but highly deranged…
On the existence of elastic minimizers for initially stressed materials
Davide Riccobelli, Abramo Agosti, Pasquale Ciarletta
A soft solid is said to be initially stressed if it is subjected to a state of internal stress in its unloaded reference configuration. Developing a sound mathematical framework to…