The What and Where of Adding Channel Noise to the Hodgkin-Huxley Equations

Fluid limit theorems for stochastic hybrid systems with application to neuron models

(2016) K. Pakdaman et al.   ADVANCES IN APPLIED PROBABILITY

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

(2011) Joshua H. Goldwyn et al.   PHYSICAL REVIEW E

Accurate and Fast Simulation of Channel Noise in Conductance-Based Model Neurons by Diffusion Approximation

(2011) Daniele Linaro et al.   PLoS Computational Biology

Irregularly Appearing Early Afterdepolarizations in Cardiac Myocytes: Random Fluctuations or Dynamical Chaos?

(2010) Daisuke Sato et al.   BIOPHYSICAL JOURNAL

Spike-Time Precision and Network Synchrony Are Controlled by the Homeostatic Regulation of the D-Type Potassium Current

(2010) R. H. Cudmore et al.   JOURNAL OF NEUROSCIENCE

Comparison of Langevin and Markov channel noise models for neuronal signal generation

(2010) B. Sengupta et al.   PHYSICAL REVIEW E

Stochastic Ion Channel Gating in Dendritic Neurons: Morphology Dependence and Probabilistic Synaptic Activation of Dendritic Spikes

(2010) Robert C. Cannon et al.   PLoS Computational Biology

Evaluation of Stochastic Differential Equation Approximation of Ion Channel Gating Models

(2009) Ian C. Bruce   ANNALS OF BIOMEDICAL ENGINEERING

Stochastic Population Model for Electrical Stimulation of the Auditory Nerve

(2009) N.S. Imennov et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING

The Dependence of Auditory Nerve Rate Adaptation on Electric Stimulus Parameters, Electrode Position, and Fiber Diameter: A Computer Model Study

(2009) Jihwan Woo et al.   JARO-JOURNAL OF THE ASSOCIATION FOR RESEARCH IN OTOLARYNGOLOGY

The emergence of the deterministic Hodgkin–Huxley equations as a limit from the underlying stochastic ion-channel mechanism

(2008) Tim D. Austin   ANNALS OF APPLIED PROBABILITY

Invariant manifold reductions for Markovian ion channel dynamics

(2008) James P. Keener   JOURNAL OF MATHEMATICAL BIOLOGY

Propagation effects of current and conductance noise in a model neuron with subthreshold oscillations

(2008) Christian Finke et al.   MATHEMATICAL BIOSCIENCES

Noise in the nervous system

(2008) A. Aldo Faisal et al.   NATURE REVIEWS NEUROSCIENCE

Stochastic Differential Equation Model for Cerebellar Granule Cell Excitability

(2008) Antti Saarinen et al.   PLoS Computational Biology