Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Poster I: Statistical Physics in Biological Systems (joint with BP)
DY 9.3: Poster
Monday, March 11, 2013, 17:30–19:30, Poster B2
Modelling of rhythmic patterns in hippocampus — •Anastasia Lavrova1, Michael Zaks2, and Lutz Schimansky-Geier2 — 1Immanuel Kant Baltic Federal University, Kaliningrad, Russia — 2Humboldt University at Berlin, Berlin, Germany
The hippocampal circuit can exhibit network oscillations in different frequency ranges (gamma - 30-80 Hz; theta - 4-12 Hz; as well as theta/gamma or a bursting regime) both in vivo and in vitro and switch between them.
Our goal is to investigate how coupling strength and delayed propagation influence synchronization and switching between different oscillatory states in minimal neuronal networks. To this end, we constructed a simple model of neurons comprising two fast-spiking and two slow-spiking cells, respectively. The network is described by coupled FitzHugh-Nagumo equations that well reproduce the dynamical behavior of different cells types: their periods, amplitudes, and phase shifts.
The model allows us to analyze the influence of synaptic strengths on the network synchronization and dynamical switching between theta, gamma, and bursting regimes. In particular, we perform a thorough bifurcation analysis and identify parameters of synaptic connections that can efficiently induce switches in the network activity.