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Topic: numerical bifurcation analysis

ePoster
1 ePoster

In Applied Mathematics and Biophysics

ePoster · Computational Neuroscience

The role of gap junctions and clustered connectivity in emergent synchronisation patterns of spiking inhibitory neuronal networks

Helene Todd, Boris Gutkin, Alex Cayco-Gajic · Bernstein Conference 2024

Interneurons, ubiquitous in the central nervous system, form networks connected through both inhibitory chemical synapses and gap junctions. These networks are essential for regulating neuronal activity notably by regulating temporally patterned dynamic states. We aim to understand the mechanisms that allow for synchronization to arise in networks of interneurons with both chemical synapses and electrical gap junctions (Panel 1). To this end, we use the exact mean-field reduction, often referred to as the “neural mass model” in the literature (Montbrio et al, PRX, 2015). We first analyse a sin