Over the last two decades, mean-field theory has brought an important added value to the study of emergent properties of neural circuits. Nonetheless, in the mean-field framework, the thermodynamic limit has to be taken to postulate the number of neurons to be infinite. Doing so, small fluctuations are neglected. Dumont et al. address this issue by showing that the dynamics of finite-size networks can be represented by stochastic partial differential equations.
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