We undertake a probabilistic analysis of the response of repetitively firing neural populations
to simple pulselike stimuli. Recalling and extending results from the literature, we compute …

Variational methods are used to determine the optimal currents that elicit spikes in various
phase reductions of neural oscillator models. We show that, for a given reduced neuron …

Regularly spiking neurons can be described as oscillators. In this article we review some of
the insights gained from this conceptualization and their relevance for systems …

Large scale studies of spiking neural networks are a key part of modern approaches to
understanding the dynamics of biological neural tissue. One approach in computational …

Oscillations of large populations of neurons are thought to be important in the normal
functioning of the brain. We have used phase response curve (PRC) methods to …

Bursting plays an important role in neural communication. At the population level,
macroscopic bursting has been identified in populations of neurons that do not express …

This book will track advances in the application of phase response (PR) analysis to the study
of electrically excitable cells, focusing on applications of PR analysis in the computational …

This chapter focuses on the application of phase response curves (PRCs) in predicting the
phase locking behavior in networks of periodically oscillating neurons using the theory of …

Phase oscillators are a common starting point for the reduced description of many single
neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such …

Qualitative features of excitable or oscillatory dynamics are shared by broad classes of
neuronal models. Expressed in models for single-cell behavior as well as for ensemble …