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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 [PubMed]

  • On stochastic diff. eq. models for ion channel noise in Hodgkin-Huxley neurons (Goldwyn et al. 2010)

References and models cited by this paper

References and models that cite this paper

Allen E (2007) Modeling with Ito stochastic diFFerential equations, Springer, The Netherlands, ed.
Alzubaidi H, Gilsing H, Shardlow T (2010) Stochastic Methods in Neuroscience, Laing C:Lord G, ed. pp.344
Balasubramanian V, Kimber D, Berry MJ (2001) Metabolically efficient information processing. Neural Comput 13:799-815 [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]
Bruce IC (2009) Evaluation of stochastic differential equation approximation of ion channel gating models. Ann Biomed Eng 37:824-38 [Journal] [PubMed]
  • Evaluation of stochastic diff. eq. approximation of ion channel gating models (Bruce 2009) [Model]
Brunel N, Chance FS, Fourcaud N, Abbott LF (2001) Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys Rev Lett 86:2186-9 [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]
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]
Dayan P, Abbott LF (2001) Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems
de Polavieja GG (2002) Errors drive the evolution of biological signalling to costly codes. J Theor Biol 214:657-64 [Journal] [PubMed]
Destexhe A, Rudolph-lilith M (2010) Stochastic Methods in Neuroscience, Laing C:Lord G, ed. pp.242
Faisal A (2010) Stochastic Methods in Neuroscience, Laing C:Lord G, ed. pp.297
Faisal AA, Selen LP, Wolpert DM (2008) Noise in the nervous system. Nat Rev Neurosci 9:292-303 [Journal] [PubMed]
Faisal AA, White JA, Laughlin SB (2005) Ion-channel noise places limits on the miniaturization of the brain's wiring. Curr Biol 15:1143-9 [Journal] [PubMed]
Fox RF (1997) Stochastic versions of the Hodgkin-Huxley equations. Biophys J 72:2068-74 [Journal] [PubMed]
Fox RF (2010) personal communication with N.S.I.
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]
Freidlin M, Wentzell A (1998) Random Perturbations of Dynamical Systems
Gardiner CW (2003) Handbook of Sochastic Methods for Physics, Chemistry and the Natural Sciences, Springer series in synergetics
Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry 81:2340-2361
Goldwyn JH (2010) On stochastic differential equation models for ion channel noise in hodgkin-huxley neurons Http:--senselab Med Yale Edu-modeldb
Groff J, Deremigio H, Smith G (2010) Stochastic Methods in Neuroscience, Laing C:Lord G, ed. pp.29
Hida T, Hitsuda M (1991) Gaussian Processes, Translations of Mathematica Monographs
Higham DJ (2001) An algorithmic introduction to numerical simulation of stochastic differential equation Siam Review 43:525-546
Hille B (2001) Ionic Channels of Excitable Membranes
Imennov NS, Rubinstein JT (2009) Stochastic population model for electrical stimulation of the auditory nerve. IEEE Trans Biomed Eng 56:2493-501 [Journal] [PubMed]
Liebovitch LS, Scheurle D, Rusek M, Zochowski M (2001) Fractal methods to analyze ion channel kinetics. Methods 24:359-75 [Journal] [PubMed]
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]
Negm MH, Bruce IC (2008) International Ieee Embs Conference 654:654-658
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1988) Numerical Recipes in Fortran: The Art of Scientific Computing
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]
Sakmann B, Neher E (1995) Single-channel Recording 2:487
Schneidman E, Freedman B, Segev I (1998) Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural Comput 10:1679-703 [PubMed]
Sengupta B, Laughlin SB, Niven JE (2010) Comparison of Langevin and Markov channel noise models for neuronal signal generation. Phys Rev E Stat Nonlin Soft Matter Phys 81:011918 [Journal] [PubMed]
Shuai JW, Jung P (2002) Optimal intracellular calcium signaling. Phys Rev Lett 88:068102 [Journal] [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]
Soudry D, Meir R (2010) Frontiers Comput Neuro 4:1
van Rossum MC, O'Brien BJ, Smith RG (2003) Effects of noise on the spike timing precision of retinal ganglion cells. J Neurophysiol 89:2406-19 [Journal] [PubMed]
White JA, Klink R, Alonso A, Kay AR (1998) Noise from voltage-gated ion channels may influence neuronal dynamics in the entorhinal cortex. J Neurophysiol 80:262-9 [Journal] [PubMed]
White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci 23:131-7 [PubMed]
Woloshyn R (1999) http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/VERSIONS/FORTRAN/mtfort90.f Mersenne twister implemented in FORTRAN
Woo J, Miller CA, Abbas PJ (2010) The dependence of auditory nerve rate adaptation on electric stimulus parameters, electrode position, and fiber diameter: a computer model study. J Assoc Res Otolaryngol 11:283-96 [Journal] [PubMed]
Zeng S, Jung P (2004) Phys Rev E 70:1
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]
Guet-McCreight A, Camiré O, Topolnik L, Skinner FK (2016) Using a Semi-Automated Strategy to Develop Multi-Compartment Models That Predict Biophysical Properties of Interneuron-Specific 3 (IS3) Cells in Hippocampus. eNeuro [Journal] [PubMed]
  • Interneuron Specific 3 Interneuron Model (Guet-McCreight et al, 2016) [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]
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]
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