Neuron Circuits

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Neuron Circuits Communication
Bo Deng University of Nebraska-Lincoln Sept. 2004
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Rinzel Wang (1997)
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• Kandel, E.R., J.H. Schwartz, and T.M. Jessell
• Principles of Neural Science, 3rd ed.,
  Elsevier, 1991.
• Zigmond, M.J., F.E. Bloom, S.C. Landis, J.L.
  Roberts, and L.R. Squire
• Fundamental Neuroscience, Academic Press, 1999.

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Hodgkin, A.L. and A.F. Huxley, A quantitative
description of membrane current and its
application to conduction and excitation in
nerve, J. Physiol. 117(1952), pp.500--544.
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- I (t)
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-I (t)
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Mahowald, M. and Douglas, R. A silicon neuron.
Nature, 354(1991), pp.515-518.
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Chua, L.O., Introduction to Nonlinear Circuit
Theory, McGraw-Hill, New York, 1969.
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van der Pol (1928), FitzHugh(1961),
Nagumo(1964) Keener(1982)
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(Non-circuit) Models for Square Burster and Other
Bursters

• Morris, C. and H. Lecar,
• Voltage oscillations in the barnacle giant
  muscle fiber,
• Biophysical J., 35(1981), pp.193--213.
• Hindmarsh, J.L. and R.M. Rose,
• A model of neuronal bursting using three
  coupled first order differential
• equations,
• Proc. R. Soc. Lond. B. 221(1984), pp.87--102.
• Chay, T.R., Y.S. Fan, and Y.S. Lee
• Bursting, spiking, chaos, fractals, and
  universality in biological
• rhythms, Int. J. Bif. Chaos, 5(1995),
  pp.595--635.
• Izhikevich, E.M
• Neural excitability, spiking, and bursting,
• Int. J. Bif. Chaos, 10(2000),
  pp.1171--1266.
• (also see his article in SIAM Review)

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Disclaimer With the exception of the square
burster and SEED simulation, all artworks are
found from the internet.