14 citations · 19 across the 5 of their papers we have counts for
6 papers
On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience
J-A Carrillo, Simona Mancini, M. -B Tran
This paper concerns the proof of the exponential rate of convergence of the solution of a Fokker-Planck equation, with a drift term not being the gradient of a potential function a…
Study of a degenerate reaction-diffusion system arising in particle dynamics with aggregation effects
Philippe Grillot, Simona Mancini, Michèle Grillot
In this paper we are interested in a degenerate parabolic system of reaction-diffusion equations arising in biology when studying cell adhesion at the protein level. In this modeli…
Decision-making and interacting neuron populations
S Mancini
In this article we present the modeling of bi-stability view problems described by the activity or firing rates of two interacting population of neurons. Starting from the study of…
Complexity Reduction of Rate-Equations Models for Two-Choice Decision-Making
José A. Carrillo, Stéphane Cordier, Gustavo Deco +1
We are concerned with the complexity reduction of a stochastic system of differential equations governing the dynamics of a neuronal circuit describing a decision-making task. This…
One dimensional Fokker-Planck reduced dynamics of decision making models in Computational Neuroscience
José Antonio Carrillo, Stéphane Cordier, Simona Mancini
We study a Fokker-Planck equation modelling the firing rates of two interacting populations of neurons. This model arises in computational neuroscience when considering, for exampl…
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient
Francois James, Simona Mancini, Francois Bouchut
The Cauchy problem for a multidimensional linear transport equation with discontinuous coefficient is investigated. Provided the coefficient satisfies a one-sided Lipschitz conditi…