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

2. Rinzel & Wang (1997)

3. Gated Currents by Electrodiffission
Ionic Pumps by Chemical Energy

4. 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

5. 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

6. Kirchhoff Laws
- I (t)

7. -I (t)

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

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

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

11. V IL I

13. (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
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
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
Izhikevich, E.M
Neural excitability, spiking, and bursting,
Int. J. Bif. & Chaos, 10(2000), pp
(also see his article in SIAM Review)
Deng(1991)

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