232 citations · 930 across the 41 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2018★ 5 cited
Clamping and Synchronization in the strongly coupled FitzHugh-Nagumo model
Cristobal Quiñinao, Jonathan D. Touboul
We investigate the dynamics of a limit of interacting FitzHugh-Nagumo neurons in the regime of large interaction coefficients. We consider the dynamics described by a mean-field mo…
math.AP2014
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation
Benoit Perthame, Cristobal Quiñinao, Jonathan Touboul
We analyze an inhomogeneous system of coupled reaction-diffusion equations representing the dynamics of gene expression during differentiation of nerve cells. The outcome of this d…
math.AP2007
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain
Jonathan Touboul
In this article we study a controllability problem for a parabolic and a hyperbolic partial differential equations in which the control is the shape of the domain where the equatio…