In this paper, we investigate the fundamental limits on how the inter-spike time of a neuron oscillator can be perturbed by the application of an external control input (a current stimulus) with zero net electric charge accumulation. We derive the minimum and maximum inter-spike time assignment controls for phase models using the maximum principle, and fully characterize the possible range of neuronal spiking times with respect to a given bound on the control amplitude. We apply the derived optimal controls to both mathematically ideal and experimentally observed phase models of spiking neurons to demonstrate their applicability to neuroscience.
|Number of pages
|Proceedings of the IEEE Conference on Decision and Control
|Published - 2012
|51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012 → Dec 13 2012