Towards a theoretical framework for the study of resonance in neuronal systems: conceptual ideas and challenges
Horacio Rotstein
Federated Department of Biological Sciences, New Jersey Institute of Technology & Rutgers University

Resonance describes the preferred frequency response of dynamical systems to oscillatory inputs. In this talk we address as set of key issues that we believe are fundamental towards the construction of a mathematical theory of resonance in neuronal networks that can be primarily described in terms of the classes of the participating neurons, their intrinsic ionic properties and the synaptic network connectivity. This theory is envisioned to involve the interplay of the various forms of preferred frequency responses to oscillatory input such as subthreshold resonance (amplitude and phase), suprathreshold (firing rate and spiking), phase-locking, synchronization, synaptic, and network resonance. We expand on these ideas, introduce concepts and provide more precise characterizations along the talk.