Evaluation of stochastic diff. eq. approximation of ion channel gating models (Bruce 2009)

Dangerfield CE, Kay D, Burrage K. (2012). Modeling ion channel dynamics through reflected stochastic differential equations Physical review. E, Statistical, nonlinear, and soft matter physics. 85 [PubMed]

• Reflected SDE Hodgkin-Huxley Model (Dangerfield et al. 2012) [Model]

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]

• On stochastic diff. eq. models for ion channel noise in Hodgkin-Huxley neurons (Goldwyn et al. 2010) [Model]

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

• Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) [Model]
• Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) (pylab) [Model]

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]

• Accurate and fast simulation of channel noise in conductance-based model neurons (Linaro et al 2011) [Model]

Orio P, Soudry D. (2012). Simple, fast and accurate implementation of the diffusion approximation algorithm for stochastic ion channels with multiple states. PloS one. 7 [PubMed]

• Simple and accurate Diffusion Approximation algor. for stochastic ion channels (Orio & Soudry 2012) [Model]

Pezo D, Soudry D, Orio P. (2014). Diffusion approximation-based simulation of stochastic ion channels: which method to use? Frontiers in computational neuroscience. 8 [PubMed]

• Comparison of DA-based Stochastic Algorithms (Pezo et al. 2014) [Model]

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]

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

Schmerl BA, McDonnell MD. (2013). Channel noise induced stochastic facilitation in an auditory brainstem neuron model Physical review. E, Statistical, nonlinear, and soft matter physics. 88 [PubMed]

• Simulating ion channel noise in an auditory brainstem neuron model (Schmerl & McDonnell 2013) [Model]

Stanley DA, Bardakjian BL, Spano ML, Ditto WL. (2011). Stochastic amplification of calcium-activated potassium currents in Ca2+ microdomains. Journal of computational neuroscience. 31 [PubMed]

• CA1 pyramidal: Stochastic amplification of KCa in Ca2+ microdomains (Stanley et al. 2011) [Model]