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pro vyhledávání: '"Fornoni, Matteo"'
The availability of cancer measurements over time enables the personalised assessment of tumour growth and therapeutic response dynamics. However, many tumours are treated after diagnosis without collecting longitudinal data, and cancer monitoring pr
Externí odkaz:
http://arxiv.org/abs/2404.12198
Autor:
Fornoni, Matteo
We consider a non-local tumour growth model of phase-field type, describing the evolution of tumour cells through proliferation in presence of a nutrient. The model consists of a coupled system, incorporating a non-local Cahn-Hilliard equation for th
Externí odkaz:
http://arxiv.org/abs/2402.04204
Autor:
Fornoni, Matteo
In this paper, we address an optimal distributed control problem for a non-local model of phase-field type, describing the evolution of tumour cells in presence of a nutrient. The model couples a non-local and viscous Cahn-Hilliard equation for the p
Externí odkaz:
http://arxiv.org/abs/2304.08867
Autor:
Fornoni, Matteo, Rondi, Luca
We find extremely general classes of nonsmooth open sets which guarantee Mosco convergence for corresponding Sobolev spaces and the validity of Sobolev inequalities with a uniform constant. An important feature of our results is that the conditions w
Externí odkaz:
http://arxiv.org/abs/2203.04004
Akademický článek
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Autor:
Fornoni, Matteo1 (AUTHOR), Rondi, Luca1 (AUTHOR) luca.rondi@unipv.it
Publikováno v:
Calculus of Variations & Partial Differential Equations. Jan2023, Vol. 62 Issue 1, p1-30. 30p.