3 papers
math.AP2023
On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
S. Fagioli, E. Radici, L. Romagnoli
We investigated existence of global weak solutions for a system of chemotaxis type with nonlinear degenerate diffusion, arising in modelling Multiple Sclerosis disease. The model c…
math.AP2018
A comparison of two mathematical models of the cerebrospinal fluid dynamics
Donatella Donatelli, Pierangelo Marcati, Licia Romagnoli
In this paper we provide the numerical simulations of two cerebrospinal fluid dynamics models by comparing our results with the real data available in literature. The models descri…
math.AP2017
Analysis of solutions for a cerebrospinal fluid model
Donatella Donatelli, Pierangelo Marcati, Licia Romagnoli
The main purpose of this manuscript is to analyze an intracranic fluid model from a mathematical point of view. By means of an iterative process we are able to prove the existence…