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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]

References and models cited by this paper

References and models that cite this paper

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]
Clay JR, DeFelice LJ (1983) Relationship between membrane excitability and single channel open-close kinetics. Biophys J 42:151-7 [Journal] [PubMed]
Colquhoun D, Hawkes AG (1977) Relaxation and fluctuations of membrane currents that flow through drug-operated channels. Proc R Soc Lond B Biol Sci 199:231-62 [Journal] [PubMed]
Colquhoun D, Hawkes AG (1981) On the stochastic properties of single ion channels. Proc R Soc Lond B Biol Sci 211:205-35 [Journal] [PubMed]
Fox RF (1997) Stochastic versions of the Hodgkin-Huxley equations. Biophys J 72:2068-74 [Journal] [PubMed]
Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry 81:2340-2361
Lecar H, Nossal R (1971) Theory of threshold fluctuations in nerves. I. Relationships between electrical noise and fluctuations in axon firing. Biophys J 11:1048-67 [Journal] [PubMed]
Matsuoka AJ, Rubinstein JT, Abbas PJ, Miller CA (2001) The effects of interpulse interval on stochastic properties of electrical stimulation: models and measurements. IEEE Trans Biomed Eng 48:416-24 [Journal] [PubMed]
Neher E, Stevens CF (1977) Conductance fluctuations and ionic pores in membranes. Annu Rev Biophys Bioeng 6:345-81 [Journal] [PubMed]
Press WH, Teukolsky SA, Vellerling WT, Flannery BP (1992) Numerical Recipes In C: The Art Of Scientific Computing
Probability A (1985) Probability, Random Variables, and Stochastic Processes (2nd ed)
Rubinstein JT (1995) Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophys J 68:779-85 [Journal] [PubMed]
Sigworth FJ (1980) The variance of sodium current fluctuations at the node of Ranvier. J Physiol 307:97-129 [PubMed]
Skaugen E, Walløe L (1979) Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations. Acta Physiol Scand 107:343-63 [Journal] [PubMed]
Strassberg AF, Defelice LJ (1993) Limitations of the Hodgkin-Huxley formalism: eects of single channel kinetics on transmembrane voltage dynamics Neural Comput 5:843-855
Van_kampen NG (1992) Stochastic Processes In Physics And Chemistry
Verveen AA (1961) Fluctuation in excitability Doctoral dissertation
White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci 23:131-7 [PubMed]
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]
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]
Dangerfield CE, Kay D, Burrage K (2012) Modeling ion channel dynamics through reflected stochastic differential equations Phys Rev E 85(5):051907 [Journal] [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. 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, Rubinstein JT, Shea-Brown E (2012) A point process framework for modeling electrical stimulation of the auditory nerve. J Neurophysiol 108:1430-52 [Journal] [PubMed]
  • Point process framework for modeling electrical stimulation of auditory nerve (Goldwyn et al. 2012) [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]
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] [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. J Comput Neurosci 31:647-66 [Journal] [PubMed]
  • CA1 pyramidal: Stochastic amplification of KCa in Ca2+ microdomains (Stanley et al. 2011) [Model]
White JA, Rubinstein JT, Mino H (2007) Response: Implementation Issues in Approximate Methods for Stochastic Hodgkin-Huxley models Ann Biomed Eng 35(2):319-319 [Journal]
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