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Linear response in neuronal networks: from neurons dynamics to collective response

We review two examples where the linear response of a neuronal network submitted to an external stimulus can be derived explicitely, including network parameters dependence. This is done in a statistical physics-like approach where one associates to the spontaneous dynamics of the model a natural notion of Gibbs distribution inherited from ergodic theory or stochastic processes. These two examples are the Amari-Wilson-Cowan model and a conductance based Integrate and Fire model.

preprint2019arXivOpen access
B. Cessac
Biological Physicsnlin.CDNeurons and Cognition
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