2 papers
math.OC2016
Minimal time spiking in various ChR2-controlled neuron models
Vincent Renault, Michèle Thieullen, Emmanuel Trélat
We use conductance based neuron models and the mathematical modeling of Optogenetics to define controlled neuron models and we address the minimal time control of these affine syst…
math.PR2016
Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics
Vincent Renault, Michèle Thieullen, Emmanuel Trélat
In this paper we define an infinite-dimensional controlled piecewise deterministic Markov process (PDMP) and we study an optimal control problem with finite time horizon and unboun…