Citation Relationships



White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci 23:131-7 [PubMed]

References and models cited by this paper

References and models that cite this paper

Acker CD, Kopell N, White JA (2003) Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. J Comput Neurosci 15:71-90 [PubMed]

Bendels MH, Leibold C (2007) Generation of theta oscillations by weakly coupled neural oscillators in the presence of noise. J Comput Neurosci 22:173-89 [Journal] [PubMed]

Butson CR, Clark GA (2008) Random noise paradoxically improves light-intensity encoding in Hermissenda photoreceptor network. J Neurophysiol 99:146-54 [Journal] [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 Comput Biol [Journal] [PubMed]

   Stochastic ion channels and neuronal morphology (Cannon et al. 2010) [Model]

Crotty P, Levy WB (2006) Intersymbol interference in axonal transmission Neurocomputing 69:1006-1009 [Journal]

Dangerfield CE, Kay D, Burrage K (2012) Modeling ion channel dynamics through reflected stochastic differential equations Phys Rev E 85(5):051907 [Journal]

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

Diba K, Koch C, Segev I (2006) Spike propagation in dendrites with stochastic ion channels. J Comput Neurosci 20:77-84 [Journal] [PubMed]

   Spike propagation in dendrites with stochastic ion channels (Diba et al. 2006) [Model]

Dudman JT, Nolan MF (2009) Stochastically gating ion channels enable patterned spike firing through activity-dependent modulation of spike probability. PLoS Comput Biol 5:e1000290 [Journal] [PubMed]

Gabbiani F, Cox SJ (2010) Mathematics for Neuroscientists :1-486 [Journal]

   Mathematics for Neuroscientists (Gabbiani and Cox 2010) [Model]

Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E (2011) Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Phys Rev E Stat Nonlin Soft Matter Phys 83:041908 [Journal] [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 Comput Biol 7:e1002247 [Journal] [PubMed]

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

Jones PW, Gabbiani F (2012) Impact of neural noise on a sensory-motor pathway signaling impending collision. J Neurophysiol 107:1067-79 [Journal] [PubMed]

   LGMD Variability and logarithmic compression in dendrites (Jones and Gabbiani, 2012, 2012B) [Model]

Kilinc D, Demir A (2017) Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE Trans Biomed Circuits Syst 11:958-974 [Journal] [PubMed]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

Kilinc D, Demir A (2018) Spike timing precision of neuronal circuits. J Comput Neurosci 44:341-362 [Journal] [PubMed]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

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) :589-596 [Journal]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

Kole MH, Hallermann S, Stuart GJ (2006) Single Ih channels in pyramidal neuron dendrites: properties, distribution, and impact on action potential output. J Neurosci 26:1677-87 [Journal] [PubMed]

   Stochastic Ih and Na-channels in pyramidal neuron dendrites (Kole et al 2006) [Model]

Kosmidis EK, Pakdaman K (2003) An analysis of the reliability phenomenon in the FitzHugh-Nagumo model. J Comput Neurosci 14:5-22 [PubMed]

Kretzberg J, Egelhaaf M, Warzecha AK (2001) Membrane potential fluctuations determine the precision of spike timing and synchronous activity: a model study. J Comput Neurosci 10:79-97 [PubMed]

Linaro D, Storace M, Giugliano M (2011) Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS Comput Biol 7:e1001102 [Journal] [PubMed]

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

Mino H, Rubinstein JT, White JA (2002) Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Ann Biomed Eng 30:578-87 [PubMed]

Nguyen V, Mathias R, Smith GD (2005) A stochastic automata network descriptor for Markov chain models of instantaneously coupled intracellular Ca2+ channels. Bull Math Biol 67:393-432 [Journal] [PubMed]

   Stochastic automata network Markov model descriptors of coupled Ca2+ channels (Nguyen et al. 2005) [Model]

Platkiewicz J, Brette R (2010) A threshold equation for action potential initiation. PLoS Comput Biol 6:e1000850 [Journal] [PubMed]

   A threshold equation for action potential initiation (Platkiewicz & Brette 2010) [Model]

Platkiewicz J, Brette R (2011) Impact of fast sodium channel inactivation on spike threshold dynamics and synaptic integration. PLoS Comput Biol 7:e1001129 [Journal] [PubMed]

   Impact of fast Na channel inact. on AP threshold & synaptic integration (Platkiewicz & Brette 2011) [Model]

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. J Comput Neurosci 21:271-92 [Journal] [PubMed]

Rowat P (2007) Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural Comput 19:1215-50 [Journal] [PubMed]

Rowat PF, Elson RC (2004) State-dependent effects of Na channel noise on neuronal burst generation. J Comput Neurosci 16:87-112 [Journal] [PubMed]

Rudolph M, Destexhe A (2003) Characterization of subthreshold voltage fluctuations in neuronal membranes. Neural Comput 15:2577-618 [Journal] [PubMed]

Rudolph M, Destexhe A (2004) Inferring network activity from synaptic noise. J Physiol Paris 98:452-66 [Journal] [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. Neurosci Res 41:161-83 [PubMed]

Schmandt NT, Galán RF (2012) Stochastic-shielding approximation of Markov chains and its application to efficiently simulate random ion-channel gating. Phys Rev Lett 109:118101 [Journal] [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 88:052722 [Journal]

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

Segev I, London M (2000) Untangling dendrites with quantitative models. Science 290:744-50 [PubMed]

Singh C, Levy WB (2017) A consensus layer V pyramidal neuron can sustain interpulse-interval coding. PLoS One 12:e0180839 [Journal] [PubMed]

   Stochastic layer V pyramidal neuron: interpulse interval coding and noise (Singh & Levy 2017) [Model]

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. Biophys J 88:85-95 [Journal] [PubMed]

(34 refs)