Hybrid spiking models

被引:100
作者
Izhikevich, Eugene M. [1 ]
机构
[1] Brain Corp, San Diego, CA 92121 USA
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2010年 / 368卷 / 1930期
关键词
computational neuroscience; spiking neuron; neuromorphic hardware; FIRE MODEL; NEURONS;
D O I
10.1098/rsta.2010.0130
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
I review a class of hybrid models of neurons that combine continuous spike-generation mechanisms and a discontinuous 'after-spike' reset of state variables. Unlike Hodgkin-Huxley-type conductance-based models, the hybrid spiking models have a few parameters derived from the bifurcation theory; instead of matching neuronal electrophysiology, they match neuronal dynamics. I present a method of after-spike resetting suitable for hardware implementation of such models, and a hybrid numerical method for simulations of large-scale biological spiking networks.
引用
收藏
页码:5061 / 5070
页数:10
相关论文
共 9 条
[1]  
[Anonymous], 2006, Scholarpedia, DOI DOI 10.4249/SCHOLARPEDIA.1408
[2]  
[Anonymous], 2010, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
[3]   Adaptive exponential integrate-and-fire model as an effective description of neuronal activity [J].
Brette, R ;
Gerstner, W .
JOURNAL OF NEUROPHYSIOLOGY, 2005, 94 (05) :3637-3642
[4]   Type I membranes, phase resetting curves, and synchrony [J].
Ermentrout, B .
NEURAL COMPUTATION, 1996, 8 (05) :979-1001
[5]   Which model to use for cortical spiking neurons? [J].
Izhikevich, EM .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (05) :1063-1070
[6]   Simple model of spiking neurons [J].
Izhikevich, EM .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2003, 14 (06) :1569-1572
[7]   Large-scale model of mammalian thalamocortical systems [J].
Izhikevich, Eugene M. ;
Edelman, Gerald M. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (09) :3593-3598
[8]   SUBCELLULAR OSCILLATIONS AND BURSTING [J].
KOPELL, N ;
ERMENTROUT, GB .
MATHEMATICAL BIOSCIENCES, 1986, 78 (02) :265-291
[9]   Importance of the Cutoff Value in the Quadratic Adaptive Integrate-and-Fire Model [J].
Touboul, Jonathan .
NEURAL COMPUTATION, 2009, 21 (08) :2114-2122