On the dynamics of axonal membrane: Ion channel as the basic unit of a deterministic model

被引：3

作者：

Correale, T. G. ^{[1
,2
]}

Monteiro, L. H. A. ^{[1
,2
]}

机构：

[1] Univ Sao Paulo, Dept Engn Telecomunicacoes & Controle, Av Prof Luciano Gualberto,Travessa 3,380, BR-05508900 Sao Paulo, SP, Brazil

[2] Univ Presbiteriana Mackenzie, Posgrad Engn Eletr & Comp, Rua Consolacao 896, BR-01302907 Sao Paulo, SP, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 291卷

关键词：

Action potential; Axonal membrane; Cellular automaton; Ion channel; SLOW INACTIVATION; GUINEA-PIG; SIMULATION; RESISTANCE; CURRENTS; NEURONS;

D O I：

10.1016/j.amc.2016.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we propose a deterministic model for computing the electric potential of axonal membrane, based on simplifications of the properties of its ion channels. The model can reproduce typical dynamic behaviors, like passive (exponential) decay, generation and propagation of action potentials, and frequency adaptation. Numerical results are compared to theoretical analyses and experimental data, showing good agreement. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：292 / 302

页数：11

共 41 条

[1]

Aidley DJ., 1996, ION CHANNELS MOL ACT

[2] Simulation of miniature endplate potentials in neuromuscular junctions by using a cellular automaton [J].

Avella, Oscar Javier ;

Munoz, Jose Daniel ;

Fayad, Ramon .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (2-3) :694-702

[3]

Bear MF, 2007, NEUROSCIENCE EXPLORI

[4] A universal model for spike-frequency adaptation [J].

Benda, J ;

Herz, AVM .

NEURAL COMPUTATION, 2003, 15 (11) :2523-2564

[5] Gauss-Markov processes in the presence of a reflecting boundary and applications in neuronal models [J].

Buonocore, A. ;

Caputo, L. ;

Nobile, A. G. ;

Pirozzi, E. .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 :799-809

[6] The ion channel inverse problem: Neuroinformatics meets biophysics [J].

Cannon, Robert C. ;

D'Alessandro, Giampaolo .

PLOS COMPUTATIONAL BIOLOGY, 2006, 2 (08) :862-869

[7] Neuromodulation of Na+ channel slow inactivation via cAMP-dependent protein kinase and protein kinase C [J].

Chen, YA ;

Yu, FH ;

Surmeier, DJ ;

Scheuer, T ;

Catterall, WA .

NEURON, 2006, 49 (03) :409-420

[8] Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models [J].

Cheng, Yuhui ;

Suen, Jason K. ;

Radic, Zoran ;

Bond, Stephen D. ;

Holst, Michael J. ;

McCammon, J. Andrew .

BIOPHYSICAL CHEMISTRY, 2007, 127 (03) :129-139

[9] Electrogenic Tuning of the Axon Initial Segment [J].

Clark, Brian D. ;

Goldberg, Ethan M. ;

Rudy, Bernardo .

NEUROSCIENTIST, 2009, 15 (06) :651-668

[10] Membrane and protoplasm resistance in the squid giant axon [J].

Cole, KS ;

Hodgkin, AL .

JOURNAL OF GENERAL PHYSIOLOGY, 1939, 22 (05) :671-687

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