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A phenotype-structured mathematical model for the influence of hypoxia on oncolytic virotherapy

Morselli, David; Chiari, Giulia; Frascoli, Federico; Delitala, Marcello Edoardo (2025-11-16)

ronment, which reduce the ability of the virus to infect cancer cells. In this work, we focus on the influence of hypoxia on this therapy and develop a novel continuous mathematical model that considers both the spatial and ...

Intertwining operators beyond the Stark Effect

Fanelli, L.; Su, X.; Wang, Y.; Zhang, J.; Zheng, J. (2024-01-01)

The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by lower order terms. Understanding this mechan...

Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian

Fanelli, L.; Mizutani, H.; Roncal, L.; Schiavone, N.M. (2024-01-01)

We establish global bounds for solutions to stationary and time-dependent Schrödinger equations associated with the sublaplacian  on the Heisenberg group, as well as its pure fractional power s and conformally invariant fr...

Error bounds for Physics Informed Neural Networks in Nonlinear Schrödinger equations placed on unbounded domains

Fanelli, L.; Cossetti, L.; Alejo, M.A; Muñoz, C; Valenzuela, N (2024-01-01)

We consider the subcritical nonlinear Schrödinger (NLS) in dimension one posed on the unbounded real line. Several previous works have considered the deep neural network approximation of NLS solutions from the numerical and ...