Dynamic characteristics of neuron models and active areas in potential functions

K. Nakajima; K. Kurose; S. Sato; Y. Hayakawa

doi:1016/j.piutam.2012.06.007

Dynamic characteristics of neuron models and active areas in potential functions

K. Nakajima, K. Kurose, S. Sato, Y. Hayakawa

Information Devices Division

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.

Original language	English
Title of host publication	Procedia IUTAM
Pages	49-53
Number of pages	5
Volume	5
DOIs	https://doi.org/1016/j.piutam.2012.06.007
Publication status	Published - 2012
Event	IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan Duration: 2011 Nov 28 → 2011 Dec 2

Other

Other	IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical
Country	Japan
City	Kyoto
Period	11/11/28 → 11/12/2

Keywords

Active area
Burst
Chaos
Neuron model
Phase diagram
Potential
Spike

ASJC Scopus subject areas

Mechanical Engineering

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title = "Dynamic characteristics of neuron models and active areas in potential functions",

abstract = "We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.",

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language = "English",

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note = "IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical ; Conference date: 28-11-2011 Through 02-12-2011",

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T1 - Dynamic characteristics of neuron models and active areas in potential functions

AU - Nakajima, K.

AU - Kurose, K.

AU - Sato, S.

AU - Hayakawa, Y.

PY - 2012

Y1 - 2012

N2 - We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.

AB - We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.

KW - Active area

KW - Burst

KW - Chaos

KW - Neuron model

KW - Phase diagram

KW - Potential

KW - Spike

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BT - Procedia IUTAM

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