9 citations · 22 across the 5 of their papers we have counts for
5 papers
Weakly nonlinear analysis of a reaction-diffusion model for demyelinating lesions in Multiple Sclerosis
Romina Travaglini, Rossella Della Marca
Multiple Sclerosis is a chronic autoimmune disorder characterized by the degradation of the myelin sheath in the central nervous system, leading to neurological impairments. In thi…
A kinetic derivation of spatial distributed models for tumor-immune system interactions
Martina Conte, Romina Travaglini
We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune…
A reaction-diffusion model for relapsing-remitting multiple sclerosis with a treatment term
Romina Travaglini
We present a mathematical study for the development of multiple sclerosis based on a reaction-diffusion system. The model describes interactions among different populations of huma…
A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response
Marco Menale, Romina Travaglini
In this paper, we develop a nonconservative kinetic framework to be applied to the study of immune system dysregulation. From the modeling viewpoint, the model regards a system com…
Reaction-diffusion systems derived from kinetic theory for Multiple Sclerosis
Romina Travaglini, João Miguel Oliveira
We present a mathematical study for the development of Multiple Sclerosis in which a spatio-temporal kinetic { theory} model describes, at the mesoscopic level, the dynamics of a h…