Reduction of a coupled neuronal population with higher-order harmonics for depolarization using cumulant expansion

摘要

The macroscopic oscillation in local field potential due to the interaction of coupled neurons is widely measuredin experiments. The emerge and disappearance of such oscillation is a central question in computationalneuroscience. This paper analyzes a randomly coupled neuronal population, where every single neuron isdescribed by modified theta model with higher-order harmonics for depolarization. We extent the usage of a novelmethod called “cumulant expansion” to derive the low-dimensional manifold of a coupled neuronal population.Further, we use numerical simulation of a large number of neurons to validate the low-dimensional manifoldderived.