Synchronization and Spindle Oscillation in Noisy Integrate-and-Fire-or-Burst Neurons with Inhibitory Coupling

Abstract

We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant transition of oscillatory states. Intermittent time evolutions of neuron firing are found in strongly inhibited systems. We propose another integrate-and-fire-or-burst model including the dynamics of the low-threshold Ca$^{2+}$ current based on the new integrate-and-fire model. We study a globally coupled noisy integrate-and-fire-or-burst model with inhibitory interaction using the Fokker-Planck equation, and find bistability of the tonic mode and burst mode. Doubly periodic oscillation appears in a coupled system of two neuron assemblies, which is similar to the spindle oscillation in thalamic cells.