Finite-size and correlation-induced effects in mean-field dynamics

BRAIN DYNAMICS AT MULTIPLE SCALES: CAN ONE RECONCILE THE APPARENT LOW-DIMENSIONAL CHAOS OF MACROSCOPIC VARIABLES WITH THE SEEMINGLY STOCHASTIC BEHAVIOR OF SINGLE NEURONS?

(2010) SAMI EL BOUSTANI et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Metastable states and quasicycles in a stochastic Wilson-Cowan model of neuronal population dynamics

(2010) Paul C. Bressloff   PHYSICAL REVIEW E

Can Power-Law Scaling and Neuronal Avalanches Arise from Stochastic Dynamics?

(2010) Jonathan Touboul et al.   PLoS One

Avalanches in a Stochastic Model of Spiking Neurons

(2010) Marc Benayoun et al.   PLoS Computational Biology

Systematic Fluctuation Expansion for Neural Network Activity Equations

(2009) Michael A. Buice et al.   NEURAL COMPUTATION

Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators

(2009) Jun-nosuke Teramae et al.   PHYSICAL REVIEW LETTERS

Phase Transitions towards Criticality in a Neural System with Adaptive Interactions

(2009) Anna Levina et al.   PHYSICAL REVIEW LETTERS

Stochastic Neural Field Theory and the System-Size Expansion

(2009) Paul C. Bressloff   SIAM JOURNAL ON APPLIED MATHEMATICS

A characterization of the first hitting time of double integral processes to curved boundaries

(2008) Jonathan Touboul et al.   ADVANCES IN APPLIED PROBABILITY

How limit cycles and quasi-cycles are related in systems with intrinsic noise

(2008) Richard P Boland et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

A Master Equation Formalism for Macroscopic Modeling of Asynchronous Irregular Activity States

(2008) Sami El Boustani et al.   NEURAL COMPUTATION