Mathematics Colloquia and Seminars
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CANCELED DUE TO ILLNESS (A coupla ducks: slow currents, canards, clustering, and weak coupling)Mathematical Biology
|Speaker: ||Bard Ermentrout, University of Pittsburgh|
|Location: ||1147 MSB|
|Start time: ||Wed, Mar 11 2009, 3:10PM|
A recent interneuron model by Erisir et al (J. neurophys, 1999) introduces a
slow potassium current which at low currents has the effect of producing
mixed mode oscillations (MMO). When such neurons are coupled via gap
junctions they form clustered states. We analyze this by considering the
phase resetting curves of these neurons when in the MMO state and show that
complex phase interactions are a natural consequence. We perform an analysis
of the local dynamics to show the existence of a folded canard structure
which gives restrictions on the parameters for this to occur.
This seminar is cross-listed with the Applied Math Seminar series.