Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding

A Partial Differential Equation for the Mean--Return-Time Phase of Planar Stochastic Oscillators

(2020) Alexander Cao et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Fast and Accurate Langevin Simulations of Stochastic Hodgkin-Huxley Dynamics

(2020) Shusen Pu et al.   NEURAL COMPUTATION

Small noise and long time phase diffusion in stochastic limit cycle oscillators

(2018) Giambattista Giacomin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Stochastic shielding and edge importance for Markov chains with timescale separation

(2018) Deena R. Schmidt et al.   PLoS Computational Biology

Greater accuracy and broadened applicability of phase reduction using isostable coordinates

(2017) Dan Wilson et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Simulation of alcohol action upon a detailed Purkinje neuron model and a simpler surrogate model that runs >400 times faster

(2015) Michael D Forrest   BMC NEUROSCIENCE

Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation

(2015) LieJune Shiau et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Thomas and Lindner Reply:

(2015) Peter J. Thomas et al.   PHYSICAL REVIEW LETTERS

Comment on “Asymptotic Phase for Stochastic Oscillators”

(2015) Arkady Pikovsky   PHYSICAL REVIEW LETTERS

Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics

(2014) David F. Anderson et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Path integrals and large deviations in stochastic hybrid systems

(2014) Paul C. Bressloff et al.   PHYSICAL REVIEW E

Asymptotic Phase for Stochastic Oscillators

(2014) Peter J. Thomas et al.   PHYSICAL REVIEW LETTERS

Diffusion approximation-based simulation of stochastic ion channels: which method to use?

(2014) Danilo Pezo et al.   Frontiers in Computational Neuroscience

Measuring Edge Importance: A Quantitative Analysis of the Stochastic Shielding Approximation for Random Processes on Graphs

(2014) Deena R Schmidt et al.   Journal of Mathematical Neuroscience

Phase Description of Stochastic Oscillations

(2013) Justus T. C. Schwabedal et al.   PHYSICAL REVIEW LETTERS

Interspike-interval correlations induced by two-state switching in an excitable system

(2012) Tilo Schwalger et al.   EPL

Channel Noise from Both Slow Adaptation Currents and Fast Currents Is Required to Explain Spike-Response Variability in a Sensory Neuron

(2012) K. Fisch et al.   JOURNAL OF NEUROSCIENCE

Neuronal P/Q-type calcium channel dysfunction in inherited disorders of the CNS

(2012) Sanjeev Rajakulendran et al.   Nature Reviews Neurology

Stochastic-Shielding Approximation of Markov Chains and its Application to Efficiently Simulate Random Ion-Channel Gating

(2012) Nicolaus T. Schmandt et al.   PHYSICAL REVIEW LETTERS

Simple, Fast and Accurate Implementation of the Diffusion Approximation Algorithm for Stochastic Ion Channels with Multiple States

(2012) Patricio Orio et al.   PLoS One

The variance of phase-resetting curves

(2011) G. Bard Ermentrout et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution

(2011) Evelyn Buckwar et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Identification and Continuity of the Distributions of Burst-Length and Interspike Intervals in the Stochastic Morris-Lecar Neuron

(2011) Peter F. Rowat et al.   NEURAL COMPUTATION

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

(2011) Daniele Linaro et al.   PLoS Computational Biology

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

(2011) Joshua H. Goldwyn et al.   PLoS Computational Biology

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

(2010) K. Pakdaman et al.   ADVANCES IN APPLIED PROBABILITY

Encoding and decoding amplitude-modulated cochlear implant stimuli—a point process analysis

(2010) Joshua H. Goldwyn et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

CaV2.1 channelopathies

(2010) Daniela Pietrobon   PFLUGERS ARCHIV-EUROPEAN JOURNAL OF PHYSIOLOGY

Effective phase dynamics of noise-induced oscillations in excitable systems

(2010) Justus T. C. Schwabedal et al.   PHYSICAL REVIEW E

How Noisy Adaptation of Neurons Shapes Interspike Interval Histograms and Correlations

(2010) Tilo Schwalger et al.   PLoS Computational Biology

Are the input parameters of white noise driven integrate and fire neurons uniquely determined by rate and CV?

(2008) Rafael D. Vilela et al.   JOURNAL OF THEORETICAL BIOLOGY