Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks

Modeling fast and slow gamma oscillations with interneurons of different subtype

(2017) Stephen Keeley et al.   JOURNAL OF NEUROPHYSIOLOGY

Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: Comparison and implementation

(2017) Moritz Augustin et al.   PLoS Computational Biology

Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size

(2017) Tilo Schwalger et al.   PLoS Computational Biology

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems

(2016) Bastian Pietras et al.   CHAOS

Travelling waves in arrays of delay-coupled phase oscillators

(2016) Carlo R. Laing   CHAOS

Average activity of excitatory and inhibitory neural populations

(2016) Javier Roulet et al.   CHAOS

A minimal model of self-consistent partial synchrony

(2016) Pau Clusella et al.   NEW JOURNAL OF PHYSICS

From Quasiperiodic Partial Synchronization to Collective Chaos in Populations of Inhibitory Neurons with Delay

(2016) Diego Pazó et al.   PHYSICAL REVIEW LETTERS

Bumps in Small-World Networks

(2016) Carlo R. Laing   Frontiers in Computational Neuroscience

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

(2016) Peter Ashwin et al.   Journal of Mathematical Neuroscience

Resonant Interneurons Can Increase Robustness of Gamma Oscillations

(2015) Ruben A. Tikidji-Hamburyan et al.   JOURNAL OF NEUROSCIENCE

Equivalence of phase-oscillator and integrate-and-fire models

(2015) Antonio Politi et al.   PHYSICAL REVIEW E

Exact Neural Fields Incorporating Gap Junctions

(2015) Carlo R. Laing   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Derivation of a neural field model from a network of theta neurons

(2014) Carlo R. Laing   PHYSICAL REVIEW E

Structure-Function Discrepancy: Inhomogeneity and Delays in Synchronized Neural Networks

(2014) Robert Ton et al.   PLoS Computational Biology

Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons

(2013) Tanushree B. Luke et al.   NEURAL COMPUTATION

Networks of theta neurons with time-varying excitability: Macroscopic chaos, multistability, and final-state uncertainty

(2013) Paul So et al.   PHYSICA D-NONLINEAR PHENOMENA

A Complex-Valued Firing-Rate Model That Approximates the Dynamics of Spiking Networks

(2013) Evan S. Schaffer et al.   PLoS Computational Biology

The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation

(2012) G. Bard Ermentrout et al.   NEURAL COMPUTATION

Dynamics of Feature Categorization

(2012) Daniel Martí et al.   NEURAL COMPUTATION

Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]

(2011) Edward Ott et al.   CHAOS

Neural Mass Activity, Bifurcations, and Epilepsy

(2011) Jonathan Touboul et al.   NEURAL COMPUTATION

From Spiking Neuron Models to Linear-Nonlinear Models

(2011) Srdjan Ostojic et al.   PLoS Computational Biology

Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks

(2011) Zachary P. Kilpatrick et al.   PLoS Computational Biology

Synaptic and intrinsic determinants of the phase resetting curve for weak coupling

(2010) Srisairam Achuthan et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

How effective delays shape oscillatory dynamics in neuronal networks

(2010) Alex Roxin et al.   PHYSICA D-NONLINEAR PHENOMENA

Neurophysiological and Computational Principles of Cortical Rhythms in Cognition

(2010) Xiao-Jing Wang   PHYSIOLOGICAL REVIEWS

Long time evolution of phase oscillator systems

(2009) Edward Ott et al.   CHAOS

Sparsely synchronized neuronal oscillations

(2008) Nicolas Brunel et al.   CHAOS

Low dimensional behavior of large systems of globally coupled oscillators

(2008) Edward Ott et al.   CHAOS

Synaptic Theory of Working Memory

(2008) G. Mongillo et al.   SCIENCE