Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics
Published 2014 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics
Authors
Keywords
Markov process, Conductance based model, Exact stochastic simulation, Morris-Lecar model
Journal
JOURNAL OF COMPUTATIONAL NEUROSCIENCE
Volume 38, Issue 1, Pages 67-82
Publisher
Springer Nature
Online
2014-11-22
DOI
10.1007/s10827-014-0528-2
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- An asymptotic relationship between coupling methods for stochastically modeled population processes
- (2014) David F. Anderson et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Stochastic hybrid model of spontaneous dendritic NMDA spikes
- (2014) Paul C Bressloff et al. PHYSICAL BIOLOGY
- Path integrals and large deviations in stochastic hybrid systems
- (2014) Paul C. Bressloff et al. PHYSICAL REVIEW E
- 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
- Separation of time-scales and model reduction for stochastic reaction networks
- (2013) Hye-Won Kang et al. ANNALS OF APPLIED PROBABILITY
- Comparison of finite difference based methods to obtain sensitivities of stochastic chemical kinetic models
- (2013) Rishi Srivastava et al. JOURNAL OF CHEMICAL PHYSICS
- Breakdown of Fast-Slow Analysis in an Excitable System with Channel Noise
- (2013) Jay M. Newby et al. PHYSICAL REVIEW LETTERS
- Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process
- (2013) Paul C. Bressloff et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- A finite difference method for estimating second order parameter sensitivities of discrete stochastic chemical reaction networks
- (2012) Elizabeth Skubak Wolf et al. JOURNAL OF CHEMICAL PHYSICS
- 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
- 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
- An Efficient Finite Difference Method for Parameter Sensitivities of Continuous Time Markov Chains
- (2012) David F. Anderson SIAM JOURNAL ON NUMERICAL ANALYSIS
- Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes
- (2012) Khashayar Pakdaman et al. STOCHASTIC PROCESSES AND THEIR APPLICATIONS
- Error analysis of tau-leap simulation methods
- (2011) David F. Anderson et al. ANNALS OF APPLIED PROBABILITY
- Reduction of stochastic conductance-based neuron models with time-scales separation
- (2011) Gilles Wainrib 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
- Perturbation analysis of spontaneous action potential initiation by stochastic ion channels
- (2011) James P. Keener et al. PHYSICAL REVIEW E
- Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons
- (2011) Joshua H. Goldwyn et al. PHYSICAL REVIEW E
- 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
- Efficient computation of parameter sensitivities of discrete stochastic chemical reaction networks
- (2010) Muruhan Rathinam et al. JOURNAL OF CHEMICAL PHYSICS
- Kinetic Properties and Functional Dynamics of Sodium Channels during Repetitive Spiking in a Slow Pacemaker Neuron
- (2010) L. S. Milescu et al. JOURNAL OF NEUROSCIENCE
- Invariant Manifolds of Binomial-Like Nonautonomous Master Equations
- (2010) Berton A. Earnshaw et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- How Noisy Adaptation of Neurons Shapes Interspike Interval Histograms and Correlations
- (2010) Tilo Schwalger et al. PLoS Computational Biology
- A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems
- (2009) Chang Hyeong Lee et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Systematic Fluctuation Expansion for Neural Network Activity Equations
- (2009) Michael A. Buice et al. NEURAL COMPUTATION
- Stochastic Neural Field Theory and the System-Size Expansion
- (2009) Paul C. Bressloff SIAM JOURNAL ON APPLIED MATHEMATICS
- Multilevel Monte Carlo Path Simulation
- (2008) Michael B. Giles OPERATIONS RESEARCH
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreAdd your recorded webinar
Do you already have a recorded webinar? Grow your audience and get more views by easily listing your recording on Peeref.
Upload Now