Research Articles
24. J. Franceschi, N. Loy, Optimal control of a kinetic model describing social interactions on a graph, Physica A: Statistical Mechanics and Applications, 2026, 682, 13114.
23. M. Fraia, N. Loy, A. Tosin, Linear inelastic kinetic equations modelling the spread of fake news and its interplay with personal awareness, Kinetic and Related Models, 2026, 19, pp.1--34.
22. E. Cristiani, N. Loy, M. Menci, A. Tosin, Kinetic description and macroscopic limit of swarming dynamics with continuous leader–follower transitions, Computers and Mathematics in Simulation, 2025, 25, 362-385.
21. M. Burger, N. Loy, A. Rossi, Asymptotic and stability analysis of kinetic models for opinion formation on networks: an Allen-Cahn approach, SIAM Journal on Applied Dynamical Systems, 2024, 24(2).
20. N. Loy, B. Perthame, A Hamilton-Jacobi approach to nonlocal kinetic equations. Nonlinearity, Accepted, 2024.
19. N. Loy and M.Conte, A nonlocal kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance, Siam Journal on Applied Mathematics, 2024, 84(3), S429-S451.
18. T. Hillen, N. Loy, K. Painter, R. Thiessen, Modelling Microtube Driven Invasion of Glioma, Journal of Mathematical Biology, 2024, 88(1),4.
17. M. Bisi, N. Loy, Kinetic models for systems of interacting agents with multiple microscopic states, Physica D- Nonlinear Phenomena, 2024, 457, 133967.
16. C. Giverso, N. Loy, G. Lucci, L. Preziosi, Cell orientation under stretch: A review of experimental findings and mathematical modelling, Journal of Theoretical Biology, 2023, 572, 111564.
15. R. Della Marca, N. Loy and A. Tosin, An SIR like model with viral load–dependent transmission, Journal of Mathematical Biology, 2023, 86(4), 61.
14. N. Loy and L. Preziosi, A Statistical Mechanics Approach to Describe Cell Reorientation under Stretch, Bullettin of Mathematical Biology, 2023, 85(7), 60.
13. R. Della Marca, N. Loy and M. Menale, Intransigent vs. volatile opinions in a kinetic epidemic model with imitation game dynamics, Mathematical Medicine and Biology: a Journal of the IMA, 2022, 40(2), pp. 111–140.
12. R. Della Marca, N. Loy and A. Tosin, An SIR like kinetic model tracking individuals’viral load, Networks and Heterogeneous media, 2022, 17(3), pp. 467–494.
11. N. Loy, M. Raviola and A. Tosin, Opinion polarisation in social networks, PhilosophicalTransactions of The Royal Society A, 2022, 380(2224):20210158.
10. M. Conte and N. Loy, Multi-cue kinetic model with nonlocal sensing for cell migration on a fibers network with chemotaxis, Bulletin of Mathematical Biology, 2022, 84(3), 42.
9. N. Loy, T. Hillen and K.J. Painter, Direction-Dependent Turning Leads to Anisotropic Diffusion and Persistence, European Journal of Applied Mathematics, 2022, 33(4), pp. 729-765.
8. N. Loy and A. Tosin, Boltzmann-type kinetic equations for multi-agent systems with label switching, Kinetic and Related Models, 2021, volume 14(5), pp. 867-894.
7. N. Loy and A. Tosin, A viral load-based model for epidemic spread on spatial networks, Mathematical Biosciences and Engineering, 2021, 18(5), pp. 5635-5663.
6. N. Loy and M. Zanella, Structure preserving schemes for nonlinear Fokker-Planck equations with nonconstant diffusion matrix, Mathematics and Computers in simulation, 2021, 188, pp. 342-362.
5. N. Loy and L. Preziosi, Stability of a nonlocal kinetic model with density dependent speed, Mathematical Medicine and Biology: A Journal of the IMA, 2021, 38(1), pp. 83-105.
4. N. Loy and L. Preziosi, Stability of a non-local kinetic model for cell migration with density dependent orientation bias, Kinetic and Related Models, 2020, 13(5), pp. 1007-1027.
3. N. Loy and A. Tosin, Markov jump-processes and collision-like models in the description of multi-agent systems, Communications in Mathematical Sciences, 2020, 18(6), pp. 1539-1568.
2. N. Loy and L. Preziosi,Modelling physical limits of migration by a kinetic model with nonlocal sensing , Journal of Mathematical Biology, 2020, 80(6), pp. 1759–1801.
1. N. Loy and L. Preziosi,Kinetic models with nonlocal sensing determining cell polarization and speed according to independent cues , Journal of Mathematical Biology, 2020, 80(1-2), pp. 373–421.
Chapters
A. Colombi, N. Loy, L. Preziosi, Cell orientation under stretch: A review of experimental findings and mathematical modelling, in SEMA SIMAI Springer Series, volume in memory of Alberto Gandolfi, (d’Onofrio, A. Fasano, F. Papa, C. Sinisgalli), Springer, 2024, 38, pp. 59–76.
N. Loy, M. Conte, Modeling cell migration in cancer spread as a response to multi-cue heterogeneous environments: a kinetic approach. In Modelling and Computational Approaches for Multi-scale Phenomena in Cancer Research: From Cancer Evolution to Cancer Treatment. World Scientific, 2024.