Markov Chain-based Stochastic Shielding Hodgkin Huxley Model (Schmandt, Galan 2012)


Schmandt NT, Galán RF. (2012). Stochastic-shielding approximation of Markov chains and its application to efficiently simulate random ion-channel gating. Physical review letters. 109 [PubMed]

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References and models cited by this paper

Bolch G. (2006). Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications. 2nd ed.

Bruce IC. (2009). Evaluation of stochastic differential equation approximation of ion channel gating models. Annals of biomedical engineering. 37 [PubMed]

Fernández Galán R. (2008). On how network architecture determines the dominant patterns of spontaneous neural activity. PloS one. 3 [PubMed]

Fitzhugh R. (1965). A kinetic model of the conductance changes in nerve membrane J Cell Comp Physiol. 66

Fox RF, Lu Yn. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 49 [PubMed]

Galan RF, Schmandt N. (2012). Supplemental material for Stochastic-shielding approximation of Markov chains and its application to efficiently simulate random ion-channel gating Phys Rev Lett. 109

Galan RF, Schmandt NT. (2012). stocHHastic http:--www.case.edu-med-galanlab-software.html.

Gardiner CW. (2004). Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences Springer Series in Synergetics, 3rd ed.. 13

Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E. (2011). Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 83 [PubMed]

Goldwyn JH, Shea-Brown E. (2011). The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS computational biology. 7 [PubMed]

Jung P, Zeng S. (2004). Phys Rev E. 70

Keener JP. (2009). Invariant manifold reductions for Markovian ion channel dynamics. Journal of mathematical biology. 58 [PubMed]

Linaro D, Storace M, Giugliano M. (2011). Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS computational biology. 7 [PubMed]

Mamon RS, Elliott RJ. (2007). Hidden Markov Models in Finance International Series In Operations Research Management Science. 104

Meyn SP, Tweedie RL. (2009). MarkovChains and Stochastic Stability Communications and Control Engineering Series. 2nd ed.

Mino H, Rubinstein JT, White JA. (2002). Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Annals of biomedical engineering. 30 [PubMed]

Schneidman E, Freedman B, Segev I. (1998). Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural computation. 10 [PubMed]

Skaugen E, Walløe L. (1979). Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations. Acta physiologica Scandinavica. 107 [PubMed]

Steinke GK, Galán RF. (2011). Brain rhythms reveal a hierarchical network organization. PLoS computational biology. 7 [PubMed]

White JA, Rubinstein JT, Kay AR. (2000). Channel noise in neurons. Trends in neurosciences. 23 [PubMed]

Wilkinson DJ. (2012). Stochastic Modelling for Systems Biology, Chapman Hall-CRC Mathematical and Computational Biology Series. 2nd ed.

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