A Cmos Implementation Of Fitzhugh-Nagumo Neuron Model

IEEE Journal of Solid-State Circuits

Volumn 26, Issue 7, 1991, Pages 956-965

  Linares Barranco, Bernabé ^a   Sánchez Sinencio, Edgar ^a   Rodríguez Vázquez, Angel ^b   Huertas, José L ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS--THEORY; INTEGRATED CIRCUITS--APPLICATIONS; MATHEMATICAL MODELS--APPLICATIONS; SEMICONDUCTOR DEVICES--APPLICATIONS;

CMOS IMPLEMENTATION; FITZHUGH-NAGUMO NEURON MODEL; REDUCED COMPLEXITY OSCILLATORY MODEL; SMALL BIOLOGICAL SYSTEMS EMULATION;

NEURAL NETWORKS;

EID: 0026189332     PISSN: 00189200     EISSN: 1558173X     Source Type: Journal    
DOI: 10.1109/4.92015     Document Type: Article

References (27)

1. G. A. Carpenter and S. Grossberg. “A massively parallel architecture for a self-organizing neural pattern recognition machine.” Comput. Vision, Graphics, Image Processing, vol. 31. pp. 54–115, 1987.
2. D. W. Tank and J. J. Hopfield, “'Simple ‘neural’ optimization networks: An A/D converter, signal decision circuit, and linear programming circuit.” IEEE Trans. Circuits Syst., vol. CAS-33. no. 5. pp. 533–541. May 1986.
3. J. A. Anderson, J. N. Silverstein. S. A. Ritz, and R. S. Jones, “Distinctive features, categorical perception, and probability learning: Some applications of a neural network.” Psychol. Rec., vol. 84. pp. 413–451. 1977.
4. D. E. Rumelhart. G. E. Hinton, and R. J. Williams. “Learning internal representations by error propagation.” in Parallel Distributed Processing: Explorations in the Microstructures of Cognition, vol. 1, D. E. Rumelhart and J. L. McClelland, Eds. Cambridge, MA: MIT Press, 1986, pp. 318–362.
5. T. Kohonen, Self-Organization and Associative Memory. New York: Springer-Verlag, 1988.
6. B. Kosko, “Adaptive bidirectional associative memories,” Appl. Opt., vol. 26, no. 23, pp. 4947–4960, Dec. 1, 1987.
7. M. Savigny, G. Moon, N. El-Leithy, M. Zaghloul, and R. W. Newcomb, “Hysteresis turn-on-off voltages for a neural-type cell,” in Proc. IEEE Int. Symp. Circuits Syst. ‘Helsinki, Finland’, June 1988, vol. 2, pp. 993–996.
8. S. Ryckebusch, J. M. Bowes, and C. Mead, “Modeling small oscillating biological networks in analog VLSI,” in Neural Information Processing Systems 1 ‘NIPS’, D. S. Touretzki, Ed. San Mateo, CA: Morgan Kaufmann, 1989, pp. 384–393.
9. P. Chintrakulchai, N. Nintunze, A. Wu, and J. Meador, “A wide-dynamiC-Range programmable synapse for impulse neural networks,” in Proc. IEEE Int. Symp. Circuits Syst. ‘New Orleans, LA’, May 1990, vol. 4, pp. 2975–2977.
10. U. T. Koch and M. Brunner, “A modular analog neuron-model for research and teaching,” Biol. Cybern., vol. 59, pp. 303–312, 1988.
11. B. Linares-Barranco, E. Sánchez-Sinecio, and A. Rodríguez-Vázquez, “CMOS circuit implementations for neuron models,” in Proc. IEEE Int. Symp. Circuits Syst. ‘New Orleans, LA’, May 1990, vol. 3, pp. 2421–2424.
12. J. E. Tomberg and K. K. K. Kaski, “Pulse-density modulation technique in VLSI implementations of neural network algorithms,” IEEE J. SolidState Circuits, vol. 25, no. 5, pp. 1277–1286, Oct. 1990.
13. A. F. Murray, D. Del Corso, and L. Tarassenko, “Pulse-stream VLSI neural networks mixing analog and digital techniques,” IEEE Trans. Neural Networks, vol. 2, pp. 193–204, Mar. 1991.
14. A. I. Selverston, Model Neural Networks and Behavior. New York: Plenum, 1985.
15. S. DeWeerth, L. Nielsen, C. Mead, and K. D. Astran, “A simple neuron servo,” IEEE Trans. Neural Networks, vol. 2, pp. 248–251, Mar. 1991.
16. R. FitzHugh, “Impulses and physiological states in theoretical models of nerve membrane,” Biophys. J., vol. 1, 1961.
17. A. L. Hodgkin and A. F. Huxley, “A qualitative description of membrane current and its application to conduction and exictation in nerves,” J. Phys., vol. 177, pp. 500–544, 1952.
18. F. L. Straud, Physiology. A Regulatory Systems Approach. New York: MacMillan, 1978.
19. G. M. Shepherd, Neurobiology. New York: Oxford University Press, 1988.
20. E. Sánchez-Sinencio, J. Ramírez-Angulo, B. Linares-Barranco, and A. Rodríguez-Vázquez, “Operational transconductance amplifier based nonlinear function syntheses,” IEEE J. SolidState Circuits, vol. 24, no. 6, pp. 1576–1586, Dec. 1989.
21. J. P. Keener, “Analog circuitry for the Van der Pol and FitzHugh-Nagumo equations,” IEEE Trans. Syst., Man., Cybern., vol. SMC-13, no. 5, Sept./Oct. 1983.
22. L. O. Chua, C. A. Desoer, and E. S. Kuh, Linear and Nonlinear Circuits. New York: McGraw-Hill, 1987.
23. A. P. Nedungadi and R. L. Geiger, “High-frequency voltage-controlled continuous-time lowpass filter using linearized CMOS integrators,” Electron. Lett., vol. 22, pp. 729–731, June 1986.
24. Y. S. Tang, A. I. Messand, and L. O. Chua, “Synchronization and chaos,” IEEE Trans. Circuits Syst., vol. CAS-30, no. 9, pp. 620–626, Sept. 1983.
25. B. Linares-Barranco, E. Sánchez-Sinencio, A Rodríguez-Vázquez, and J. L. Huertas, “A programmable neural oscillator cell,” IEEE Trans. Circuits Syst., vol. 36, no. 5, pp. 756–761, May 1989.
26. B. Linares-Barranco, E. Sánchez-Sinencio, R. W. Newcomb, A. Rodríguez-Vázquez, and J. L. Huertas, “A novel CMOS analog neural oscillator cell,” in Proc. IEEE Int. Symp. Circuits Syst. ‘Portland, OR’, June 1989, vol. 1, pp. 794–797.
27. P. Y. Alla, G. Sancier, S. Kuerr, L. Personnaz, and G. Dreyfus, “Design and implementation of a dedicated neural network for handwritten digit recognition,” presented at the IFIP Workshop Silicon Architectures for Neural Nets, St. Paul de Vence, France, 1990.