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

B. Cessac

doi:10.1063/1.5111803

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arXiv · 1905.13424

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

B. Cessac

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Abstract

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.

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B. Cessac. 2019-09-10. Linear response in neuronal networks: from neurons dynamics to collective response. https://doi.org/10.1063/1.5111803

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