Neuron Circuits & Communication

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Presentation transcript:

Neuron Circuits & Communication Bo Deng University of Nebraska-Lincoln Sept. 2004

Rinzel & Wang (1997)

Gated Currents by Electrodiffission Ionic Pumps by Chemical Energy

Circuit Model 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. Circuit Model

Alan Lloyd Hodgkin Andrew Fielding Huxley 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.

Kirchhoff Laws - I (t)

-I (t)

Mahowald, M. and Douglas, R. A silicon neuron. Nature, 354(1991), pp.515-518.

Electrophysiological Model Equivalent Circuit Chua, L.O., Introduction to Nonlinear Circuit Theory, McGraw-Hill, New York, 1969.

van der Pol Oscillator (R = 0) and FitzHugh-Nagumo Oscillator Balthazar van der Pol (1889-1959) van der Pol Oscillator (R = 0) and FitzHugh-Nagumo Oscillator van der Pol (1928), FitzHugh(1961), Nagumo(1964) Keener(1982)

V IL I

(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) Deng(1991)

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