Firing-Rate Response of a Neuron Receiving Excitatory and Inhibitory Synaptic Shot Noise

被引:69
作者
Richardson, Magnus J. E. [1 ]
Swarbrick, Rupert [1 ]
机构
[1] Univ Warwick, Warwick Syst Biol Ctr, Coventry CV4 7AL, W Midlands, England
关键词
POPULATION; DYNAMICS; VOLTAGE;
D O I
10.1103/PhysRevLett.105.178102
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The synaptic coupling between neurons in neocortical networks is sufficiently strong so that relatively few synchronous synaptic pulses are required to bring a neuron from rest to the spiking threshold. However, such finite-amplitude effects of fluctuating synaptic drive are missed in the standard diffusion approximation. Here exact solutions for the firing-rate response to modulated presynaptic rates are derived for a neuron receiving additive excitatory and inhibitory synaptic shot noise with exponential amplitude distributions. The shot-noise description of the neuronal response to synaptic dynamics is shown to be richer and qualitatively distinct from that predicted by the diffusion approximation. It is also demonstrated how the framework developed here can be generalized to multiplicative shot noise so as to better capture effects of the inhibitory reversal potential.
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页数:4
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共 19 条
[11]   Higher-order statistics of input ensembles and the response of simple model neurons [J].
Kuhn, A ;
Aertsen, A ;
Rotter, S .
NEURAL COMPUTATION, 2003, 15 (01) :67-101
[12]   Transmission of noise coded versus additive signals through a neuronal ensemble [J].
Lindner, B ;
Schimansky-Geier, L .
PHYSICAL REVIEW LETTERS, 2001, 86 (14) :2934-2937
[13]   Physiology and anatomy of synaptic connections between thick tufted pyramidal neurones in the developing rat neocortex [J].
Markram, H ;
Lubke, J ;
Frotscher, M ;
Roth, A ;
Sakmann, B .
JOURNAL OF PHYSIOLOGY-LONDON, 1997, 500 (02) :409-440
[14]   Firing-rate response of linear and nonlinear integrate-and-fire neurons to modulated current-based and conductance-based synaptic drive [J].
Richardson, Magnus J. E. .
PHYSICAL REVIEW E, 2007, 76 (02)
[15]   Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance [J].
Richardson, MJE ;
Gerstner, W .
NEURAL COMPUTATION, 2005, 17 (04) :923-947
[16]   A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY [J].
STEIN, RB .
BIOPHYSICAL JOURNAL, 1965, 5 (02) :173-&
[17]   Input synchrony and the irregular firing of cortical neurons [J].
Stevens, CF ;
Zador, AM .
NATURE NEUROSCIENCE, 1998, 1 (03) :210-217
[18]   A THEORETICAL BASIS FOR LARGE COEFFICIENT OF VARIATION AND BIMODALITY IN NEURONAL INTERSPIKE INTERVAL DISTRIBUTIONS [J].
WILBUR, WJ ;
RINZEL, J .
JOURNAL OF THEORETICAL BIOLOGY, 1983, 105 (02) :345-368
[19]   Method to calculate the moments of the membrane voltage in a model neuron driven by multiplicative filtered shot noise [J].
Wolff, Lars ;
Lindner, Benjamin .
PHYSICAL REVIEW E, 2008, 77 (04)