Open AccessSynchronization and Spindle Oscillation in Noisy Integrate-and-Fire-or-Burst Neurons with Inhibitory Coupling
Author(s) -
Hidetsugu Sakaguchi,
Shintaro Tobiishi
Publication year - 2005
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.114.539
Subject(s) - physics , oscillation (cell signaling) , bistability , inhibitory postsynaptic potential , statistical physics , synchronization (alternating current) , bursting , coupling (piping) , fokker–planck equation , neuron , biological neuron model , control theory (sociology) , neuroscience , topology (electrical circuits) , quantum mechanics , computer science , artificial intelligence , biology , mathematics , differential equation , mechanical engineering , genetics , control (management) , combinatorics , engineering
We propose another integrate-and-fire model as a single neuron model. Westudy a globally coupled noisy integrate-and-fire model with inhibitoryinteraction using the Fokker-Planck equation and the Langevin equation, andfind a reentrant transition of oscillatory states. Intermittent time evolutionsof neuron firing are found in strongly inhibited systems. We propose anotherintegrate-and-fire-or-burst model including the dynamics of the low-thresholdCa$^{2+}$ current based on the new integrate-and-fire model. We study aglobally coupled noisy integrate-and-fire-or-burst model with inhibitoryinteraction using the Fokker-Planck equation, and find bistability of the tonicmode and burst mode. Doubly periodic oscillation appears in a coupled system oftwo neuron assemblies, which is similar to the spindle oscillation in thalamiccells.Comment: 18pages, 8figure
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