scholarly journals Neuronal Spike Trains and Stochastic Point Processes

1967 ◽  
Vol 7 (4) ◽  
pp. 419-440 ◽  
Author(s):  
Donald H. Perkel ◽  
George L. Gerstein ◽  
George P. Moore
1967 ◽  
Vol 7 (4) ◽  
pp. 391-418 ◽  
Author(s):  
Donald H. Perkel ◽  
George L. Gerstein ◽  
George P. Moore

1970 ◽  
Vol 6 ◽  
pp. 331-335 ◽  
Author(s):  
S.K. Srinivasan ◽  
G. Rajamannar

2006 ◽  
Vol 18 (3) ◽  
pp. 545-568 ◽  
Author(s):  
Hiroyuki Nakahara ◽  
Shun-ichi Amari ◽  
Barry J. Richmond

In examining spike trains, different models are used to describe their structure. The different models often seem quite similar, but because they are cast in different formalisms, it is often difficult to compare their predictions. Here we use the information-geometric measure, an orthogonal coordinate representation of point processes, to express different models of stochastic point processes in a common coordinate system. Within such a framework, it becomes straightforward to visualize higher-order correlations of different models and thereby assess the differences between models. We apply the information-geometric measure to compare two similar but not identical models of neuronal spike trains: the inhomogeneous Markov and the mixture of Poisson models. It is shown that they differ in the secondand higher-order interaction terms. In the mixture of Poisson model, the second- and higher-order interactions are of comparable magnitude within each order, whereas in the inhomogeneous Markov model, they have alternating signs over different orders. This provides guidance about what measurements would effectively separate the two models. As newer models are proposed, they also can be compared to these models using information geometry.


2003 ◽  
Vol 15 (10) ◽  
pp. 2399-2418 ◽  
Author(s):  
Zhao Songnian ◽  
Xiong Xiaoyun ◽  
Yao Guozheng ◽  
Fu Zhi

Based on synchronized responses of neuronal populations in the visual cortex to external stimuli, we proposed a computational model consisting primarily of a neuronal phase-locked loop (NPLL) and multiscaled operator. The former reveals the function of synchronous oscillations in the visual cortex. Regardless of which of these patterns of the spike trains may be an average firing-rate code, a spike-timing code, or a rate-time code, the NPLL can decode original visual information from neuronal spike trains modulated with patterns of external stimuli, because a voltage-controlled oscillator (VCO), which is included in the NPLL, can precisely track neuronal spike trains and instantaneous variations, that is, VCO can make a copy of an external stimulus pattern. The latter, however, describes multi-scaled properties of visual information processing, but not merely edge and contour detection. In this study, in which we combined NPLL with a multiscaled operator and maximum likelihood estimation, we proved that the model, as a neurodecoder, implements optimum algorithm decoding visual information from neuronal spike trains at the system level. At the same time, the model also obtains increasingly important supports, which come from a series of experimental results of neurobiology on stimulus-specific neuronal oscillations or synchronized responses of the neuronal population in the visual cortex. In addition, the problem of how to describe visual acuity and multiresolution of vision by wavelet transform is also discussed. The results indicate that the model provides a deeper understanding of the role of synchronized responses in decoding visual information.


2015 ◽  
Vol 16 (S1) ◽  
Author(s):  
Stefan Albert ◽  
Michael Messer ◽  
Brian Rummell ◽  
Torfi Sigurdsson ◽  
Gaby Schneider

2017 ◽  
Vol 111 (3-4) ◽  
pp. 229-235 ◽  
Author(s):  
Johannes Lengler ◽  
Angelika Steger

1996 ◽  
Vol 64 (1) ◽  
pp. 25-37 ◽  
Author(s):  
Barry K. Rhoades ◽  
Jon C. Weil ◽  
Jacek M. Kowalski ◽  
Guenter W. Gross

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