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]