Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C1L-D

Session:

Number:606

A gap-junction-connected silicon neuronal network

Takashi Kohno,  Kazuyuki Aihara,  

pp.606-609

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.606

PDF download (904.2KB)

Summary:
We developed a low-power consuming electronic circuit that is endowed with dynamics similar to a class of neurons whose gap-junction-connected networks can produce distinctive complex and synchronized behaviors (Class I*). The developed circuit was evaluated using circuit simulators and numeric calculation and indicated to have ability producing complex and synchronized behaviors very similar to them.

References:

[1] A. A. V. Hill, J. Lu, M. A. Masino, and R. L. Calabrese, “A model of a segmental oscillator in the Leech heartbeat neuronal network,” Journal of Computational Neuroscience, vol. 10, no. 3, pp. 281-302, May 2001.

[2] H. Fujii and I. Tsuda, “Neocortical gap junction-coupled interneuron systems may induce chaotic behavior itinerant among quasi-attractors exhibiting transient synchrony,” Neurocomputing, vol. 58-60, pp. 151-157, 2004.

[3] A. L. Hodgkin, “The local electric changes associated with repetitive action in a non-medullated axon,” The Journal of Physiology, vol. 107, no. 2, pp. 165-181, Mar. 1948.

[4] T. Kohno and K. Aihara, “Mathematical-model-based design method of silicon burst neurons,” Neurocomputing, vol. 71, no. 7-9, pp. 1619-1628, Mar. 2008.

[5] ——, “A mathematical-structure-based aVLSI silicon neuron model,” in Proceedings of the 2010 International Symposium on Nonlinear Theory and its Applications, Sep. 2010, pp. 261-264.

[6] M. F. Simoni, G. S. Cymbalyuk, M. E. Sorensen, R. L. Calabrese, and S. P. DeWeerth, “A multiconductance silicon neuron with biologically matched dynamics,” IEEE Transactions on Biomedical Engineering, vol. 51, no. 2, pp. 342-354, Feb. 2004.

[7] J. V. Arthur and K. A. boahen, “Silicon-neuron design: A dynamical systems approach,” IEEE Transactions on Circuits and Systems-I, vol. 58, no. 5, pp. 1034-1043, May 2011.

[8] J. Rinzel and G. B. Ermentrout, “Analysis of neural excitability and oscillations,” in Methods in Neural Modeling, 2nd ed., C. Koch and I. Segev, Eds. MA: MIT Press, 1998, ch. 7, pp. 251-291.

[9] A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining lyapunov exponents from a time series,” Physica D, vol. 16, no. 3, pp. 285-317, Jul. 1985.