Strange responses to fluctuating inputs in the hindmarsh-rose neurons

Ryosuke Hosaka; Yutaka Sakai; Kazuyuki Aihara

doi:10.1007/978-3-642-10684-2_45

Strange responses to fluctuating inputs in the hindmarsh-rose neurons

Ryosuke Hosaka, Yutaka Sakai, Kazuyuki Aihara

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

1 Citation (Scopus)

Abstract

A Input-Output relationship of a neuron is often used to characterize the function of the neuron. In that case, inputs are assumed to be constant, and neuronal responses to fluctuated inputs are less understood. A recent work reported a strange response of the Hodgkin-Huxley neuron to the fluctuated inputs that an irregularity of spike trains is inversely proportional to an input irregularity. In this paper, we investigated an origin of the strange response by using the Hindmarsh-Rose neuron. We provided the parameter regions for bifurcations and confirmed that the Hindmarsh-Rose neuron reproduces the strange response in dynamics of Saddle-Node and Subcritical Hopf bifurcations. In both bifurcation cases, the Hindmarsh-Rose neuron shows a bistability of resting potential and repetitive firing. This indicates that the bistability is the origin of the strange input-output relationship.

Original language	English
Title of host publication	Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings
Pages	401-408
Number of pages	8
Edition	PART 2
DOIs	https://doi.org/10.1007/978-3-642-10684-2_45
Publication status	Published - 2009
Externally published	Yes
Event	16th International Conference on Neural Information Processing, ICONIP 2009 - Bangkok, Thailand Duration: 2009 Dec 1 → 2009 Dec 5

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 2
Volume	5864 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	16th International Conference on Neural Information Processing, ICONIP 2009
Country/Territory	Thailand
City	Bangkok
Period	09/12/1 → 09/12/5

Keywords

Bistability
Hindmarsh-Rose neuron
Interspike interval
Subthreshold oscillation

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-10684-2_45

Cite this

Hosaka, R., Sakai, Y., & Aihara, K. (2009). Strange responses to fluctuating inputs in the hindmarsh-rose neurons. In Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings (PART 2 ed., pp. 401-408). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5864 LNCS, No. PART 2). https://doi.org/10.1007/978-3-642-10684-2_45

Strange responses to fluctuating inputs in the hindmarsh-rose neurons. / Hosaka, Ryosuke; Sakai, Yutaka; Aihara, Kazuyuki.

Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings. PART 2. ed. 2009. p. 401-408 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5864 LNCS, No. PART 2).

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

Hosaka, R, Sakai, Y & Aihara, K 2009, Strange responses to fluctuating inputs in the hindmarsh-rose neurons. in Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings. PART 2 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 2, vol. 5864 LNCS, pp. 401-408, 16th International Conference on Neural Information Processing, ICONIP 2009, Bangkok, Thailand, 09/12/1. https://doi.org/10.1007/978-3-642-10684-2_45

Hosaka R, Sakai Y, Aihara K. Strange responses to fluctuating inputs in the hindmarsh-rose neurons. In Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings. PART 2 ed. 2009. p. 401-408. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2). doi: 10.1007/978-3-642-10684-2_45

Hosaka, Ryosuke ; Sakai, Yutaka ; Aihara, Kazuyuki. / Strange responses to fluctuating inputs in the hindmarsh-rose neurons. Neural Information Processing - 16th International Conference, ICONIP 2009, Proceedings. PART 2. ed. 2009. pp. 401-408 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2).

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AB - A Input-Output relationship of a neuron is often used to characterize the function of the neuron. In that case, inputs are assumed to be constant, and neuronal responses to fluctuated inputs are less understood. A recent work reported a strange response of the Hodgkin-Huxley neuron to the fluctuated inputs that an irregularity of spike trains is inversely proportional to an input irregularity. In this paper, we investigated an origin of the strange response by using the Hindmarsh-Rose neuron. We provided the parameter regions for bifurcations and confirmed that the Hindmarsh-Rose neuron reproduces the strange response in dynamics of Saddle-Node and Subcritical Hopf bifurcations. In both bifurcation cases, the Hindmarsh-Rose neuron shows a bistability of resting potential and repetitive firing. This indicates that the bistability is the origin of the strange input-output relationship.

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Strange responses to fluctuating inputs in the hindmarsh-rose neurons

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Keywords

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