Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Agosti, Abramo"'
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 through a diffuse interface model coupling a Cahn-Hilliard-type equation
Externí odkaz:
http://arxiv.org/abs/2409.15925
Large deformations in terms of stretch and rotation and local solution to the non-stationary problem
Autor:
Agosti, Abramo, Fremond, Michel
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 large deformations and conditional compatibility, where the independent
Externí odkaz:
http://arxiv.org/abs/2403.00759
Autor:
Agosti, Abramo, Signori, Andrea
We introduce a multi-species diffuse interface model for tumor growth, characterized by its incorporation of essential features related to chemotaxis, angiogenesis and proliferation mechanisms. We establish the weak well-posedness of the system withi
Externí odkaz:
http://arxiv.org/abs/2311.13470
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 convexity assumptions, the existence of such solutions can be shown constru
Externí odkaz:
http://arxiv.org/abs/2310.13601
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 second gradients terms accounting for physical properties in the principle
Externí odkaz:
http://arxiv.org/abs/2307.02992
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 derived for a binary, saturated, closed and incompressible mixture, compo
Externí odkaz:
http://arxiv.org/abs/2306.15819
Autor:
Santini, Francesco, Wasserthal, Jakob, Agosti, Abramo, Deligianni, Xeni, Keene, Kevin R., Kan, Hermien E., Sommer, Stefan, Stuprich, Christoph, Wang, Fengdan, Weidensteiner, Claudia, Manco, Giulia, Paoletti, Matteo, Mazzoli, Valentina, Desai, Arjun, Pichiecchio, Anna
Semantic segmentation is a crucial step to extract quantitative information from medical (and, specifically, radiological) images to aid the diagnostic process, clinical follow-up. and to generate biomarkers for clinical research. In recent years, ma
Externí odkaz:
http://arxiv.org/abs/2302.06352
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains
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 Eulerian configuration. A new kind of diffusive regularization, of Alle
Externí odkaz:
http://arxiv.org/abs/2301.08341
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 properties and a liquid phase. The model is formulated in the Eulerian c
Externí odkaz:
http://arxiv.org/abs/2204.04951
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 component, coupled with two massless chemicals representing a perfectly di
Externí odkaz:
http://arxiv.org/abs/2203.02212