Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise
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Tue, 22/02/2011 13:15 |
Yi Ming Lai (OCCAM) |
Junior Applied Mathematics Seminar  |
Gibson Grd floor SR |
| We examine several aspects of introducing stochasticity into dynamical systems, with specific applications to modellingpopulations of neurons. In particular, we use the example of a interactingpopulations of excitatory and inhibitory neurons (E-I networks). As eachnetwork consists of a large but finite number of neurons that firestochastically, we can study the effect of this intrinsic noise using a masterequation formulation. In the parameter regime where each E-I network acts as alimit cycle oscillator, we combine phase reduction and averaging to study thestationary distribution of phase differences in an ensemble of uncoupled E-Ioscillators, and explore how the intrinsic noise disrupts synchronization dueto a common external noise source. | |||