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Phase Bursting Rhythms in Inhibitory Rings
Matthew BrooksAndrey ShilnikovRobert Clewley
13 May 2009
Introduction
Phase shift bursting
Inhibitory ring systems
The Leech Heart Interneuron
Computing phase rhythms
Computing phase rhythms, cont’d.
Strongly coupled motif - symmetric case:
gsyn12 = 0.1gsyn21 = 0.1gsyn23 = 0.1gsyn32 = 0.1gsyn31 = 0.1gsyn13 = 0.1
Coupling strengths are identical between neurons in both clockwise and counterclockwise directions.
Synchronization Diagram
Blue, Red in phaseGreen out of phase
Legend
Red, Green in phaseBlue out of phase
Blue, Green in phaseRed out of phase
Plot indicating which neurons are “in phase” and which ones are “out of phase”.
All neurons are out of phase.
Strongly coupled motif - symmetric case, cont’d:
Strongly coupled motif – asymmetric case:Coupling strengths are significantly stronger in the counter-clockwise direction than in the clockwise direction.
gsyn12 = 0.8gsyn21 = 0.2gsyn23 = 0.8gsyn32 = 0.2gsyn31 = 0.8gsyn13 = 0.2
Strongly coupled motif – asymmetric case, cont’d:
Strongly coupled motif – discussion:
Weakly coupled motif:
gsyn12 = 0.0005gsyn21 = 0.0005gsyn23 = 0.0005gsyn32 = 0.0005gsyn31 = 0.0005gsyn13 = 0.0005
Coupling strengths are identical between neurons in both clockwise and counterclockwise directions.
Synchronization DiagramPlot indicating which neurons are “in phase” and which ones are “out of phase”.
Weakly coupled motif, cont’d:
Blue, Red in phaseGreen out of phase
Legend
Red, Green in phaseBlue out of phase
Blue, Green in phaseRed out of phase All neurons are out of phase.
Weakly coupled motif, cont’d:
Weakly coupled motif - discussion:
Discussion of Results and Observations:
References:
Thank you: