Circuit implementation of neural FitzHugh-Nagumo equations

Author

Sanchez-Sinencio, Edgar ; Linares-Barranco, Bernabé

Author_Institution

Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

fYear

1989

fDate

14-16 Aug 1989

Firstpage

244

Abstract

A circuit that emulates FitzHugh-Nagumo´s differential equations using OTAs, diodes, and capacitors is proposed. These equations model the fundamental behavior of an organic neuron cell, i.e. if the input is below a certain threshold, no output is observed, and if it is above threshold, the output yields a sequence of firing pulses. The circuit is obtained by using a general method for implementing nonlinear differential equations. The resulting circuit, due to the (voltage) programmability of the OTA, allows one to easily vary parameters. Thus, a large family of solutions can be obtained, including the Van der Pol´s equation. Experimental results from a breadboard prototype that show the suitability of the technique and its potential for CMOS implementation are given

Keywords

CMOS integrated circuits; analogue circuits; neural nets; nonlinear differential equations; CMOS implementation; FitzHugh-Nagumo´s differential equations; OTAs; Van der Pol´s equation; capacitors; diodes; firing pulses; neural FitzHugh-Nagumo equations; nonlinear differential equations; organic neuron cell; threshold; Biological system modeling; Capacitors; Circuit topology; Differential equations; Diodes; Neurons; Nonlinear equations; Prototypes; Semiconductor device modeling; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on

Conference_Location

Champaign, IL

Type

conf

DOI

10.1109/MWSCAS.1989.101839

Filename

101839