共 33 条
Experimental evidence of a chaotic region in a neural pacemaker
被引:35
作者:

Gu, Hua-Guang
论文数: 0 引用数: 0
h-index: 0
机构:
Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

Jia, Bing
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h-index: 0
机构:
Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

Chen, Guan-Rong
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h-index: 0
机构:
City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
机构:
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
基金:
中国国家自然科学基金;
关键词:
Chaos;
Bifurcation;
Neural firing pattern;
Hindmarsh-Rose model;
HINDMARSH-ROSE MODEL;
BIFURCATION SCENARIOS;
DYNAMICS;
RESONANCE;
SPIKING;
RAT;
D O I:
10.1016/j.physleta.2013.01.015
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
In this Letter, we report the finding of period-adding scenarios with chaos in firing patterns, observed in biological experiments on a neural pacemaker, with fixed extra-cellular potassium concentration at different levels and taken extra-cellular calcium concentration as the bifurcation parameter. The experimental bifurcations in the two-dimensional parameter space demonstrate the existence of a chaotic region interwoven with the periodic region thereby forming a period-adding sequence with chaos. The behavior of the pacemaker in this region is qualitatively similar to that of the Hindmarsh-Rose neuron model in a well-known comb-shaped chaotic region in two-dimensional parameter spaces. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:718 / 720
页数:3
相关论文
共 33 条
[1]
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
[J].
Barrio, Roberto
;
Shilnikov, Andrey
.
JOURNAL OF MATHEMATICAL NEUROSCIENCE,
2011, 1

Barrio, Roberto
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain
Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

Shilnikov, Andrey
论文数: 0 引用数: 0
h-index: 0
机构:
Georgia State Univ, Neurosci Inst, Atlanta, GA 30303 USA
Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain
[2]
Synchronization of bursting neurons: What matters in the network topology
[J].
Belykh, I
;
de Lange, E
;
Hasler, M
.
PHYSICAL REVIEW LETTERS,
2005, 94 (18)

Belykh, I
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland

de Lange, E
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland

Hasler, M
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Nonlinear Syst Lab, CH-1015 Lausanne, Switzerland
[3]
A PERIPHERAL MONONEUROPATHY IN RAT THAT PRODUCES DISORDERS OF PAIN SENSATION LIKE THOSE SEEN IN MAN
[J].
BENNETT, GJ
;
XIE, YK
.
PAIN,
1988, 33 (01)
:87-107

BENNETT, GJ
论文数: 0 引用数: 0
h-index: 0

XIE, YK
论文数: 0 引用数: 0
h-index: 0
[4]
Low-dimensional dynamics in sensory biology .1. Thermally sensitive electroreceptors of the catfish
[J].
Braun, HA
;
Schafer, K
;
Voigt, K
;
Peters, R
;
Bretschneider, F
;
Pei, X
;
Wilkens, L
;
Moss, F
.
JOURNAL OF COMPUTATIONAL NEUROSCIENCE,
1997, 4 (04)
:335-347

Braun, HA
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Schafer, K
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Voigt, K
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Peters, R
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Bretschneider, F
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Pei, X
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Wilkens, L
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS

Moss, F
论文数: 0 引用数: 0
h-index: 0
机构: UNIV UTRECHT, INST COMPARAT PHYSIOL, UTRECHT, NETHERLANDS
[5]
Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model
[J].
Braun, Hans A.
;
Schwabedal, Justus
;
Dewald, Mathias
;
Finke, Christian
;
Postnova, Svetlana
;
Huber, Martin T.
;
Wollweber, Bastian
;
Schneider, Horst
;
Hirsch, Martin C.
;
Voigt, Karlheinz
;
Feudel, Ulrike
;
Moss, Frank
.
CHAOS,
2011, 21 (04)

Braun, Hans A.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Schwabedal, Justus
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Dewald, Mathias
论文数: 0 引用数: 0
h-index: 0
机构:
Hameln Rds, D-31789 Hameln, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Finke, Christian
论文数: 0 引用数: 0
h-index: 0
机构:
Carl von Ossietzky Univ Oldenburg, Complex Syst Res Grp, ICBM, D-26111 Oldenburg, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Postnova, Svetlana
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Sydney, Sch Phys, Complex Syst Grp, Sydney, NSW 2006, Australia
Univ Sydney, Ctr Integrated Res & Understanding Sleep, Glebe, NSW 2037, Australia Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Huber, Martin T.
论文数: 0 引用数: 0
h-index: 0
机构:
Elbe Klinikum Stade, Klin Psychiat Psychotherapie & Psychosomat, D-21682 Stade, Germany
Univ Marburg, Dept Psychiat & Psychotherapy, D-35032 Marburg, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Wollweber, Bastian
论文数: 0 引用数: 0
h-index: 0
机构:
Max Planck Inst Psychiat, D-80804 Munich, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Schneider, Horst
论文数: 0 引用数: 0
h-index: 0
机构:
Novotec Med GmbH, D-75172 Pforzheim, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Hirsch, Martin C.
论文数: 0 引用数: 0
h-index: 0
机构:
Parmenides Fdn Study Thinking, D-82049 Munich, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

Voigt, Karlheinz
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany

论文数: 引用数:
h-index:
机构:

Moss, Frank
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA Univ Marburg, Inst Physiol, Neurodynam Grp, D-35037 Marburg, Germany
[6]
Predicting single spikes and spike patterns with the Hindmarsh-Rose model
[J].
de Lange, Enno
;
Hasler, Martin
.
BIOLOGICAL CYBERNETICS,
2008, 99 (4-5)
:349-360

de Lange, Enno
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Nonlinear Syst Lab, Lausanne, Switzerland Ecole Polytech Fed Lausanne, Nonlinear Syst Lab, Lausanne, Switzerland

Hasler, Martin
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Nonlinear Syst Lab, Lausanne, Switzerland Ecole Polytech Fed Lausanne, Nonlinear Syst Lab, Lausanne, Switzerland
[7]
Transitions to synchrony in coupled bursting neurons
[J].
Dhamala, M
;
Jirsa, VK
;
Ding, MZ
.
PHYSICAL REVIEW LETTERS,
2004, 92 (02)
:4

Dhamala, M
论文数: 0 引用数: 0
h-index: 0
机构:
Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA

Jirsa, VK
论文数: 0 引用数: 0
h-index: 0
机构: Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA

Ding, MZ
论文数: 0 引用数: 0
h-index: 0
机构: Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA
[8]
Noise in the nervous system
[J].
Faisal, A. Aldo
;
Selen, Luc P. J.
;
Wolpert, Daniel M.
.
NATURE REVIEWS NEUROSCIENCE,
2008, 9 (04)
:292-303

Faisal, A. Aldo
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England

Selen, Luc P. J.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England

Wolpert, Daniel M.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England Univ Cambridge, Computat & Biol Learning Lab, Dept Engn, Cambridge CB2 1PZ, England
[9]
BIFURCATIONS, BURSTINGS, CHAOS AND CRISES IN THE ROSE-HINDMARSH MODEL FOR NEURONAL-ACTIVITY
[J].
FAN, YS
;
HOLDEN, AV
.
CHAOS SOLITONS & FRACTALS,
1993, 3 (04)
:439-449

FAN, YS
论文数: 0 引用数: 0
h-index: 0
机构:
UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

HOLDEN, AV
论文数: 0 引用数: 0
h-index: 0
机构:
UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
[10]
Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons
[J].
Feudel, U
;
Neiman, A
;
Pei, X
;
Wojtenek, W
;
Braun, H
;
Huber, M
;
Moss, F
.
CHAOS,
2000, 10 (01)
:231-239

Feudel, U
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Neiman, A
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Pei, X
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Wojtenek, W
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Braun, H
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Huber, M
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA

Moss, F
论文数: 0 引用数: 0
h-index: 0
机构: Univ Missouri, Ctr Neurodynam, St Louis, MO 63121 USA