An advanced design method of bursting in Fitzhugh-Nagumo model

Author

Tsuji, Shigeki ; Ueta, Tetsushi ; Kawakami, Hiroshi ; Aihara, Kazuyuki

Author_Institution

Fac. of Eng., Tokushima Univ., Japan

Volume

1

fYear

2002

fDate

6/24/1905 12:00:00 AM

Abstract

Spiking and bursting observed in nerve membranes seem to be important when we investigate the information representation model of the brain. Many topologically different bursting responses are observed in the mathematical models and their related bifurcation mechanisms have been clarified. In this paper, we propose an advanced design method to generate bursting responses in FitzHugh-Nagumo (FHN) model with a simple periodic external force based on bifurcation analysis. Some effective parameter perturbations for the amplitude of the external input are given from the 2-parameter bifurcation diagram. A forced BVP oscillator as an analogy of FHN model indicates an expected type of bursting. We also present laboratory experiments.

Keywords

bifurcation; bioelectric potentials; biomembranes; brain models; neural nets; neurophysiology; 2-parameter bifurcation diagram; Fitzhugh-Nagumo model; advanced design method; autonomous system; bifurcation analysis; bifurcation mechanisms; bursting responses; external input amplitude; forced BVP oscillator; information representation model; mathematical model; nerve membranes; parameter perturbations; periodic external force; Bifurcation; Biomembranes; Brain modeling; Cells (biology); Concrete; Design methodology; Limit-cycles; Mathematical model; Oscillators; Physics;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on

Print_ISBN

0-7803-7448-7

Type

conf

DOI

10.1109/ISCAS.2002.1009859

Filename

1009859