Bruce IC. (2007). Implementation issues in approximate methods for stochastic Hodgkin-Huxley models. Annals of biomedical engineering. 35 [PubMed]
Chow CC, White JA. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical journal. 71 [PubMed]
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]
Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35
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]
Kilinc D, Demir A. (2015). Simulation of noise in neurons and neuronal circuits Proceedings of the IEEE/ACM international conference on computer-aided design (ICCAD).
Kilinc D, Demir A. (2017). Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE transactions on biomedical circuits and systems. 11 [PubMed]
Kilinc D, Demir A. (2018). Spike timing precision of neuronal circuits. Journal of computational neuroscience. 44 [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]
Nguyen V, Mathias R, Smith GD. (2005). A stochastic automata network descriptor for Markov chain models of instantaneously coupled intracellular Ca2+ channels. Bulletin of mathematical biology. 67 [PubMed]
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]
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]
Platkiewicz J, Brette R. (2010). A threshold equation for action potential initiation. PLoS computational biology. 6 [PubMed]
Rowat PF, Elson RC. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of computational neuroscience. 16 [PubMed]
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]
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]
Soudry D, Meir R. (2014). The neuronal response at extended timescales: a linearized spiking input-output relation. Frontiers in computational neuroscience. 8 [PubMed]
Steinmetz PN, Manwani A, Koch C, London M, Segev I. (2000). Subthreshold voltage noise due to channel fluctuations in active neuronal membranes. Journal of computational neuroscience. 9 [PubMed]