29 citations · 89 across the 16 of their papers we have counts for
17 papers
Circumventing the Curse of Dimensionality in Magnetic Resonance Fingerprinting through a Deep Learning Approach
Marco Barbieri, Leonardo Brizi, Enrico Giampieri +4
MR fingerprinting (MRF) is a rapid growing approach for fast quantitave MRI. A typical drawback of dictionary-based MRF is its explosion in size as a function of the number of reco…
Emergence of Fractional Kinetics in Spiny Dendrites
Silvia Vitali, Francesco Mainardi, Gastone Castellani
Fractional extensions of the cable equation have been proposed in the literature to describe transmembrane potential in spiny dendrites. The anomalous behavior has been related in…
Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles
Oleksii Yu. Sliusarenko, Silvia Vitali, Vittoria Sposini +4
Complex systems display anomalous diffusion, whose signature is a space/time scaling with in the Probability Density Function (PDF). Anomalous diffusion can…
Langevin equation in complex media and anomalous diffusion
Silvia Vitali, Vittoria Sposini, Oleksii Sliusarenko +3
The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modeling approaches for the description of anoma…
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: a pathway to non-autonomous stochastic differential equations and to fractional diffusion
Mirko D'Ovidio, Silvia Vitali, Vittoria Sposini +4
We consider an ensemble of Ornstein-Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the e…
Time Fractional Cable Equation And Applications in Neurophysiology
Silvia Vitali, Gastone Castellani, Francesco Mainardi
We propose an extension of the cable equation by introducing a Caputo time fractional derivative. The fundamental solutions of the most common boundary problems are derived analiti…