History of the Application of the Phase Resetting Curve to Neurons Coupled in a Pulsatile Manner

摘要: Phase resetting curves (PRCs) keep track of how much an input advances or delays the next spike in oscillatory neuron depending upon where cycle is applied. In this chapter, a history application PRC theory to circuits pulse-coupled neurons presented. these circuits, interactions between oscillators take form brief pulses such that effect one dies out before received. some approaches, specific assumed for oscillators, but more general approach formulate problem assuming measured using perturbation approximates received intact network. general, requires circuit architecture and firing pattern be assumed. This allows construction map from discrete event, as phase at which received, event. The fixed points maps correspond periodic modes are relatively easy locate analyze stability compared analyzing original network directly. Alternatively, based on have been constructed do not presuppose order. Specific analyzed under assumption pulsatile coupling include lockings periodically forced oscillator delay after threshold two bidirectionally coupled with without delays, unidirectional N-ring N all-to-all networks. results obtained provide insights regarding synchronization tendencies.