Stochastic resonance on Newman-Watts networks of Hodgkin-Huxley neurons with local periodic driving

被引:180
作者
Ozer, Mahmut [1 ]
Perc, Matjaz [2 ]
Uzuntarla, Muhammet [1 ]
机构
[1] Zonguldak Kamelmas Univ, Fac Engn, Dept Elect & Elect Engn, TR-67100 Zonguldak, Turkey
[2] Univ Maribor, Fac Nat Sci & Math, Dept Phys, SI-2000 Maribor, Slovenia
关键词
Stochastic process; Pacemaker; Small-world network; Neuronal dynamics; SMALL-WORLD NETWORKS; FUNCTIONAL CONNECTIVITY; SMOOTH-MUSCLE; CHANNEL NOISE; EXCITABLE-MEMBRANES; SIGNAL-TRANSDUCTION; COHERENCE RESONANCE; INTERSTITIAL-CELLS; ACTION-POTENTIALS; SPIKING ACTIVITY;
D O I
10.1016/j.physleta.2009.01.034
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the phenomenon of stochastic resonance on Newman-Watts small-world networks consisting of biophysically realistic Hodgkin-Huxley neurons with a tunable intensity of intrinsic noise via voltage-gated ion channels embedded in neuronal membranes. Importantly thereby, the subthreshold periodic driving is introduced to a single neuron of the network, thus acting as a pacemaker trying to impose its rhythm on the whole ensemble. We show that there exists an optimal intensity of intrinsic ion channel noise by which the outreach of the pacemaker extends optimally across the whole network. This stochastic resonance phenomenon can be further amplified via fine-tuning of the small-world network structure, and depends significantly also on the coupling strength among neurons and the driving frequency of the pacemaker. In particular, we demonstrate that the noise-induced transmission of weak localized rhythmic activity peaks when the pacemaker frequency matches the intrinsic frequency of subthreshold oscillations. The implications of our findings for weak signal detection and information propagation across neural networks are discussed. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:964 / 968
页数:5
相关论文
共 68 条
[51]   Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model [J].
Schmid, G ;
Goychuk, I ;
Hänggi, P .
PHYSICAL BIOLOGY, 2004, 1 (1-2) :61-66
[52]   Channel noise and synchronization in excitable membranes [J].
Schmid, G ;
Goychuk, I ;
Hänggi, P .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 325 (1-2) :165-175
[53]   Stochastic resonance as a collective property of ion channel assemblies [J].
Schmid, G ;
Goychuk, I ;
Hänggi, P .
EUROPHYSICS LETTERS, 2001, 56 (01) :22-28
[54]   Intrinsic coherence resonance in excitable membrane patches [J].
Schmid, Gerhard ;
Haenggi, Peter .
MATHEMATICAL BIOSCIENCES, 2007, 207 (02) :235-245
[55]   Ion channel stochasticity may be critical in determining the reliability and precision of spike timing [J].
Schneidman, E ;
Freedman, B ;
Segev, I .
NEURAL COMPUTATION, 1998, 10 (07) :1679-1703
[56]   FIRING BEHAVIOR IN A STOCHASTIC NERVE MEMBRANE MODEL BASED UPON THE HODGKIN-HUXLEY EQUATIONS [J].
SKAUGEN, E ;
WALLOE, L .
ACTA PHYSIOLOGICA SCANDINAVICA, 1979, 107 (04) :343-363
[57]   Functional connectivity patterns of human magnetoencephalographic recordings: a 'small-world' network? [J].
Stam, CJ .
NEUROSCIENCE LETTERS, 2004, 355 (1-2) :25-28
[58]   Spatiotemporal dynamics of networks of excitable nodes [J].
Steele, AJ ;
Tinsley, M ;
Showalter, K .
CHAOS, 2006, 16 (01)
[59]   Self-organized stable pacemakers near the onset of birhythmicity [J].
Stich, M ;
Ipsen, M ;
Mikhailov, AS .
PHYSICAL REVIEW LETTERS, 2001, 86 (19) :4406-4409
[60]   Exploring complex networks [J].
Strogatz, SH .
NATURE, 2001, 410 (6825) :268-276