Andrea Signori
University of Milan
FinanceInitial public offeringEconomicsMathematicsOptimal control
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Publications 33
A distributed optimal control problem for a diffuse interface model, which physical context is that of tumour growth dynamics, is addressed. The system we deal with comprises a Cahn--Hilliard equation for the tumour fraction coupled with a reaction-diffusion for a nutrient species surrounding the tumourous cells. The cost functional to be minimised possesses some objective terms and it also penalises long treatments time, which may affect harm to the patients, and big aggregations of tumourous c...
#1Patrik Knopf (University of Regensburg)H-Index: 4
#2Andrea SignoriH-Index: 9
The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely. To take long-range interactions of the materials into account, we propose a new model consisting of a nonlocal Cahn--Hilliard equation subject to a nonlocal dynamic boundary condition that is also of Cahn--Hilliard type and contains...
1 Citations
#1Andrea Signori (University of Milan)H-Index: 9
9 CitationsSource
This paper provides a unified mathematical analysis of a family of non-local diffuse interface models for tumor growth. These are non-local variants of the corresponding local model proposed by H. Garcke et al. (2016), and take into account the long-range interactions occurring in biological phenomena. The model in consideration couples a nonlocal Cahn-Hilliard equation for the tumor phase variable with a reaction-diffusion equation for the nutrient concentration, and takes into account also sig...
1 Citations
#1Lorenzo Caprio (UCSC: Catholic University of the Sacred Heart)H-Index: 6
#2Silvia Rigamonti (UCSC: Catholic University of the Sacred Heart)H-Index: 5
Last. Andrea Signori (UCSC: Catholic University of the Sacred Heart)H-Index: 9
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This paper investigates the interplay between legal origin, financial market development, and the growth and innovation patterns of the population of large firms in U.S. and Europe. We document that common law countries (namely U.S., U.K., and Ireland) are characterized by a higher degree of stock market development and an increased propensity of firms to be publicly traded relative to Continental Europe. We also find that firms based in common law countries are more innovative, consistent with ...
#1Peter-Jan Engelen (UU: Utrecht University)H-Index: 11
#2Michele Meoli (University of Bergamo)H-Index: 14
Last. Silvio Vismara (University of Bergamo)H-Index: 20
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#2Andrea SignoriH-Index: 9
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#1Harald Garcke (University of Regensburg)H-Index: 32
#2Kei Fong Lam (CUHK: The Chinese University of Hong Kong)H-Index: 11
Last. Andrea SignoriH-Index: 9
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Mechanical effects have mostly been neglected so far in phase field tumour models that are based on a Cahn-Hilliard approach. In this paper we study a macroscopic mechanical model for tumour growth in which cell-cell adhesion effects are taken into account with the help of a Ginzburg--Landau type energy. In the overall model an equation of Cahn-Hilliard type is coupled to the system of linear elasticity and a reaction-diffusion equation for a nutrient concentration. The highly non-linear couplin...
4 Citations
#1Pierluigi Colli (UNIPV: University of Pavia)H-Index: 28
#2Andrea Signori (University of Milan)H-Index: 9
Last. Jürgen SprekelsH-Index: 25
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A distributed optimal control problem for an extended model of phase field type for tumor growth is addressed. In this model, the chemotaxis effects are also taken into account. The control is realized by two control variables that design the dispensation of some drugs to the patient. The cost functional is of tracking type, whereas the potential setting has been kept quite general in order to allow regular and singular potentials to be considered. In this direction, some relaxation terms have b...
3 CitationsSource