RENAULT Vincent

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Affiliations
  • 2015 - 2018
    Laboratoire de probabilités et modèles aléatoires
  • 2015 - 2016
    Sciences mathematiques de paris centre
  • 2015 - 2016
    Université Paris 6 Pierre et Marie Curie
  • 2018
  • 2017
  • 2016
  • Minimal time spiking in various ChR2-controlled neuron models.

    Vincent RENAULT, Michele THIEULLEN, Emmanuel TRELAT
    Journal of Mathematical Biology | 2018
    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 systems for the first spike from equilibrium. We apply tools of geometric optimal control theory to study singular extremals and we implement a direct method to compute optimal controls. When the system is too large to theoretically investigate the existence of singular optimal controls, we observe numerically the optimal bang-bang controls.
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