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Fox RF, Lu Yn (1994) Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49:3421-3431 [PubMed]

References and models cited by this paper

References and models that cite this paper

Bruce IC (2007) Implementation issues in approximate methods for stochastic Hodgkin-Huxley models. Ann Biomed Eng 35:315-8; author reply 319 [Journal] [PubMed]
   Implementation issues in approximate methods for stochastic Hodgkin-Huxley models (Bruce 2007) [Model]
Chow CC, White JA (1996) Spontaneous action potentials due to channel fluctuations. Biophys J 71:3013-21 [Journal] [PubMed]
   Spontaneous firing caused by stochastic channel gating (Chow, White 1996) [Model]
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]
Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]
   Mathematical Foundations of Neuroscience (Ermentrout and Terman 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]
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 (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]
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]
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]
Rowat PF, Elson RC (2004) State-dependent effects of Na channel noise on neuronal burst generation. J Comput Neurosci 16:87-112 [Journal] [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]
Soudry D, Meir R (2014) The neuronal response at extended timescales: a linearized spiking input-output relation. Front Comput Neurosci 8:29 [Journal] [PubMed]
   Method for deriving general HH neuron model`s spiking input-output relation (Soudry & Meir 2014) [Model]
Steinmetz PN, Manwani A, Koch C, London M, Segev I (2000) Subthreshold voltage noise due to channel fluctuations in active neuronal membranes. J Comput Neurosci 9:133-48 [PubMed]
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