#### Room 326

#### Dynamics of pulse coupled inhibitory neural networks

#### Sandeep Chowdhary

##### Indian Institute of Science Education and Research (IISER), Pune

*Information in neuronal networks is encoded as spatiotemporal patterns of activity. The capacity of a network may thus be thought of as the number of stable spatiotemporal patterns it can generate. To understand what structural attributes of a network enable it to generate a profusion of stable patterns, we simulated an array of $9 times 9$ neurons modelled as pulse-coupled oscillators. The structure of the network was inspired by the popular puzzle Sudoku such that its periodic responses mapped to solutions of the puzzle. Given that there are nearly a $10^9$ possible Sudokus, this networks could possibly generate $10^9$ spatiotemporal patterns. We show that the number of stable patterns were maximized when excitatory and inhibitory inputs to each neuron were balanced. When this balance was disrupted, only a subset of patterns with certain symmetries survived.*

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