Noise effects on spike propagation in the stochastic Hodgkin-Huxley models

• Conti F, De Felice LJ, Wanke E (1975) Potassium and sodium ion current noise in the membrane of the squid giant axon. J Physiol (London) 248:45–82

  Google Scholar 

• Donati F, Kunov H (1976) A model for studying velocity variations in unmyelinated axons. IEEE Trans Biomed Eng BME 23:23–28

  Google Scholar 

• Fujita M (1982) Adaptive filter model of the cerebellum. Biol Cybern 45:195–206

  Google Scholar 

• Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol (London) 117:500–544

  Google Scholar 

• Holden AV (1976) Models of stochastic activity of neurons. Springer, New York Berlin Heidelberg

  Google Scholar 

• Holden AV (1982) Stochastic, quantal membrane conductances and neuronal function. In: Amari S, Arbib MA (eds) Competition and cooperation in neural nets. Springer, New York Berlin Heidelberg

  Google Scholar 

• Horikawa Y (1989) Filtering properties due to velocity dispersion on an axon (in Japanese). Trans IEICE Jpn 72-D-2:621–629

  Google Scholar 

• Jack JJB (1975) Physiology of peripheral nerve fibers in relation to their size. Br J Anaesth 47:173–182

  Google Scholar 

• Konishi M, Takahashi TT, Wagner H, Sullivan WE, Carr CE (1988)Neurophysiological and anatomical substrates of sound localization in the owl. In: Edelman GM, Gall WE, Cowan WM (eds) Auditory function. Wiley, New York, pp 721–745

  Google Scholar 

• Lass Y, Abeles M (1975) Transmission of information by the axon: I. noise and memory in the myelinated nerve fiber of the frog. Biol Cybern 19:61–67

  Google Scholar 

• Lecar H, Nossal R (1971) Theory of threshold fluctuations in nerves. Biophys J 11:1048–1084

  Google Scholar 

• MacGregor RJ, Lewis ER (1977) Neural modeling. Plenum Press, New York

  Google Scholar 

• Miller RM, Rinzel J (1981) The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model. Biophys J 34:227–259

  Google Scholar 

• Qian N, Sejnowski TJ (1989) An electro-diffusion model for computing membrane potentials and ionic concentrations in branching dendrites, spines and axons. Biol Cybern 62:1–15

  Google Scholar 

• Scott AC, Vota-Pinardi U (1982) Velocity variations on unmyelinated axons. J Theor Neurobiol 1:150–172

  Google Scholar 

• Scriven DRL (1981) Modelling repetitive firing and bursting in a small unmyelinated nerve fiber. Biophys J 35:715–730

  Google Scholar 

• Skaugen E (1980) Firing behaviour in nerve cell models with a two-state pore system. Acta Physiol Scand 109:377–392

  Google Scholar 

• Skaugen E, Walløe L (1979) Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations. Acta Physiol Scand 107:343–363

  Google Scholar 

• Stevens CF (1972) Inferences about membrane properties from electrical noise measurements. Biophys J 12:1028–1047

  Google Scholar 

• Tuckwell HC (1989) Stochastic processes in the neuroscience. SIAM, Philadelphia

  Google Scholar 

• Tuckwell HC, Walsh JB (1983) Random currents through nerve membranes. Biol Cybern 49:99–110

  Google Scholar 

• Waxman SG, Ritchie JM (1985) Organization of ion channels in the myelinated nerve fiber. Science 228:1502–1507

  Google Scholar 

• Young SR, Rubel EW (1983) Frequency-specific projections of individual neurons in chick brainstem auditory nuclei. J Neurosci 3:1373–1378

  Google Scholar 

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