Clarification and complement to "Mean-field description and propagation   of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons"
  In this note, we clarify the well-posedness of the limit equations to the mean-field $N$-neuron models proposed in Baladron et al. and we prove the associated propagation of chaos property. We also complete the modeling issue in Baladron et al. by discussing the well-posedness of the stochastic differential equations which govern the behavior of the ion channels and the amount of available neurotransmitters. 
Mireille Bossy, Olivier Faugeras, and Denis Talay
math.PR