Mean-Field Limit of a Stochastic Particle System Smoothly Interacting Through Threshold Hitting-Times and Applications to Neural Networks with Dendritic Component
نویسندگان
چکیده
In this article we study the convergence of a stochastic particle system that interacts through threshold hitting times towards a novel equation of McKeanVlasov 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.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 47 شماره
صفحات -
تاریخ انتشار 2015