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Neuron Circuits & Communication

Delve into the intricate world of neuron circuits and communication, exploring electrodiffusion, ionic pumps, and circuit models. Discover insights from renowned neuroscience scholars and theoretical models like the Hodgkin-Huxley equations. Unravel the dynamics of neuronal bursting, spiking, chaos, and fractals, depicting neural excitability and bursting phenomena.

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Neuron Circuits & Communication

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  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.

  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.500--544.

  6. Kirchhoff Laws - I (t)

  7. -I (t)

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

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

  10. 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)

  11. V IL I

  12. Deng(1991) (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)

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

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