Synchronization and spindle oscillation in noisy integrate-and-fire-or- burst neurons with inhibitory coupling

We propose a new integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interactions using the Fokker-Planck equation and the Langevin equation, and find a reentrant transition of oscillatory states. Intermittent time evolution of neuron firing is found in strongly inhibited systems. We also propose an integrate-and-fire-or-burst model including the dynamics of the low-threshold Ca²⁺ current based on the new integrate-and-fire model. We study a globally coupled noisy integrate-and-fire-or-burst model with an inhibitory interaction using the Fokker-Planck equation and find bistability of the tonic mode and the burst mode. Doubly periodic oscillation appears in a coupled system consisting of two neuron assemblies. This oscillation is similar to the spindle oscillation seen in thalamic cells.