Mean-field limit of a stochastic particle system smoothly interacting   through threshold hitting-times and applications to neural networks with   dendritic component
  In this article we study the convergence of a stochastic particle system that interacts through threshold hitting times towards a novel equation of McKean-Vlasov type. The particle system is motivated by an original model for the behavior of a network of neurons, in which a classical noisy integrate-and-fire model is coupled with a cable equation to describe the dendritic structure of each neuron. 
James Inglis (TOSCA, NEUROMATHCOMP), Denis Talay (TOSCA)
math.PR