Bursting emerges from the complementary roles of neurons in a four-cell network

Reciprocally inhibitory modules that form half-center oscillators require mechanisms for escaping or being released from inhibition. The central pattern generator (CPG) underlying swimming by the nudibranch mollusc, Dendronotus iris , is composed of only four neurons that are organized into two competing modules of a half center oscillator. In this system, bursting activity in left-right alternation is not driven by any of the neurons but is an emergent property of the network as a whole. We found that the unique synaptic actions and membrane properties of the two neurons in each module (Si2 and Si3) play complementary roles in generating stable bursting in this network oscillator. Only Si2 evokes fast and strong inhibition of its contralateral counterpart, the termination of which initiates post-inhibitory rebound in the Si3 of that module. Only Si3 is responsible for the rebound excitation because it has a hyperpolarization-activated inward current. Within each module, the synaptic actions and membrane properties of the two neurons complement each other: Si3 excites Si2, which then feeds back slow inhibition to Si3, terminating the burst. Using dynamic clamp, we showed that the magnitude of the slow inhibition sets the period of the oscillator. Thus, the synaptic actions of Si2 provide the hyperpolarization needed for the other module to rebound stably, whereas the membrane properties of Si3 in each module cause it to rebound first and excite Si2 and maintain the burst until the cycle repeats and the other module becomes active.