14 citations · 15 across the 11 of their papers we have counts for
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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…
Supercritical Mass and Condensation in Fokker--Planck Equations for Consensus Formation
Monica Caloi, Mattia Zanella
Inspired by recently developed Fokker--Planck models for Bose--Einstein statistics, we study a consensus formation model with condensation effects driven by a polynomial diffusion…
Kinetic and mean-field modeling of muscular dystrophies
Tommaso Lorenzi, Horacio Tettamanti, Mattia Zanella
We present a new class of models for assessing the cell dynamics characterising muscular dystrophies. The proposed approach comprises a system of integro-differential equations for…
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings
Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…