4 papers
Modeling sequential cognitive states via population level cortical dynamics
M Virginia Bolelli, Luca Greco, Dario Prandi
In this work, we present a mathematical model for cyclic and sequential patterns of brain activity, combining heteroclinic dynamics with discrete neural-field models. We first show…
Neural field equations with time-periodic external inputs and some applications to visual processing
Maria Virginia Bolelli, Dario Prandi
The aim of this work is to present a mathematical framework for the study of flickering inputs in visual processing tasks. When combined with geometric patterns, these inputs influ…
Reproducibility via neural fields of visual illusions induced by localized stimuli
Cyprien Tamekue, Dario Prandi, Yacine Chitour
This paper focuses on the modeling of experiments conducted by Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an Amar…
A mathematical model of the visual MacKay effect
Cyprien Tamekue, Dario Prandi, Yacine Chitour
This paper investigates the intricate connection between visual perception and the mathematical modeling of neural activity in the primary visual cortex (V1). The focus is on model…