Acker CD, Kopell N, White JA. (2003). Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. Journal of computational neuroscience. 15 [PubMed]
Bendels MH, Leibold C. (2007). Generation of theta oscillations by weakly coupled neural oscillators in the presence of noise. Journal of computational neuroscience. 22 [PubMed]
Butson CR, Clark GA. (2008). Random noise paradoxically improves light-intensity encoding in Hermissenda photoreceptor network. Journal of neurophysiology. 99 [PubMed]
Cannon RC, O'Donnell C, Nolan MF. (2010). Stochastic ion channel gating in dendritic neurons: morphology dependence and probabilistic synaptic activation of dendritic spikes. PLoS computational biology. 6 [PubMed]
Crotty P, Levy WB. (2006). Intersymbol interference in axonal transmission Neurocomputing. 69
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]
Diba K, Koch C, Segev I. (2006). Spike propagation in dendrites with stochastic ion channels. Journal of computational neuroscience. 20 [PubMed]
Dudman JT, Nolan MF. (2009). Stochastically gating ion channels enable patterned spike firing through activity-dependent modulation of spike probability. PLoS computational biology. 5 [PubMed]
Gabbiani F, Cox SJ. (2010). Mathematics for Neuroscientists.
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]
Jones PW, Gabbiani F. (2012). Impact of neural noise on a sensory-motor pathway signaling impending collision. Journal of neurophysiology. 107 [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]
Kole MH, Hallermann S, Stuart GJ. (2006). Single Ih channels in pyramidal neuron dendrites: properties, distribution, and impact on action potential output. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Kosmidis EK, Pakdaman K. (2003). An analysis of the reliability phenomenon in the FitzHugh-Nagumo model. Journal of computational neuroscience. 14 [PubMed]
Kretzberg J, Egelhaaf M, Warzecha AK. (2001). Membrane potential fluctuations determine the precision of spike timing and synchronous activity: a model study. Journal of computational neuroscience. 10 [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]
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]
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]
Platkiewicz J, Brette R. (2010). A threshold equation for action potential initiation. PLoS computational biology. 6 [PubMed]
Platkiewicz J, Brette R. (2011). Impact of fast sodium channel inactivation on spike threshold dynamics and synaptic integration. PLoS computational biology. 7 [PubMed]
Rotstein HG, Oppermann T, White JA, Kopell N. (2006). The dynamic structure underlying subthreshold oscillatory activity and the onset of spikes in a model of medial entorhinal cortex stellate cells. Journal of computational neuroscience. 21 [PubMed]
Rowat P. (2007). Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural computation. 19 [PubMed]
Rowat PF, Elson RC. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of computational neuroscience. 16 [PubMed]
Rudolph M, Destexhe A. (2003). Characterization of subthreshold voltage fluctuations in neuronal membranes. Neural computation. 15 [PubMed]
Rudolph M, Destexhe A. (2004). Inferring network activity from synaptic noise. Journal of physiology, Paris. 98 [PubMed]
Savtchenko LP, Gogan P, Tyc-Dumont S. (2001). Dendritic spatial flicker of local membrane potential due to channel noise and probabilistic firing of hippocampal neurons in culture. Neuroscience research. 41 [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]
Segev I, London M. (2000). Untangling dendrites with quantitative models. Science (New York, N.Y.). 290 [PubMed]
Singh C, Levy WB. (2017). A consensus layer V pyramidal neuron can sustain interpulse-interval coding. PloS one. 12 [PubMed]
Tanskanen AJ, Greenstein JL, O'Rourke B, Winslow RL. (2005). The role of stochastic and modal gating of cardiac L-type Ca2+ channels on early after-depolarizations. Biophysical journal. 88 [PubMed]