Advances in Neural Networks – ISNN 2013: 10th International by Quansheng Ren, Qiufeng Long, Zhiqiang Zhang, Jianye Zhao

By Quansheng Ren, Qiufeng Long, Zhiqiang Zhang, Jianye Zhao (auth.), Chengan Guo, Zeng-Guang Hou, Zhigang Zeng (eds.)

The two-volume set LNCS 7951 and 7952 constitutes the refereed lawsuits of the tenth overseas Symposium on Neural Networks, ISNN 2013, held in Dalian, China, in July 2013. The 157 revised complete papers offered have been conscientiously reviewed and chosen from a variety of submissions. The papers are prepared in following themes: computational neuroscience, cognitive technology, neural community types, studying algorithms, balance and convergence research, kernel equipment, huge margin equipment and SVM, optimization algorithms, varational equipment, keep watch over, robotics, bioinformatics and biomedical engineering, brain-like structures and brain-computer interfaces, information mining and data discovery and different purposes of neural networks.

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Fig. 2. The spherical coordinate system where a dendritic compartment is defined by the coordinate (r, θ, φ) of its end point taking the starting point as the origin: r is the Euclidean distance between the two points, θ is the elevation angel and φ is the azimuth angle 14 X. Lin and Z. Li If the compartment does not bifurcate, the compartment may terminate or elongate with a new compartment. The activation of the third node, O3(t), is used to specify the termination probability. Similarly, the threshold of termination also dynamic changes, it depends exponentially on diameter of current compartment.

Denotes the average over the number of the sampling. It is easy to see that the more synchronous the coupled neurons are, the larger the correlation coefficient C is, and the complete synchronization state o f the coupled neurons is achieved when C is equal to 1. 34 Y. Du, R. Wang, and J. 5 gsyn Fig. 5. 5. It is shown that synchronization exhibits a rout of process as: non-synchronization−→ nearly synchronization −→ spiking synchronization. 5, in which C is equal to 1. 5 Conclusion Based on the olfactory model, the analysis of this paper shows that maximal conductances have obviously effects on the spike train pattern: maximal conductance of N a decides the top value of the membrane potential, however, the frequencies of firing can be controlled by the maximal conductances of N ap and Ks.

4 Firing Synchronization of Two Coupled Olfactory Neurons In this section, synchronization of two identical coupled neurons is studied. It is shown that two coupled neurons can exhibit more complicated dynamical behaviors due to the effect of the coupling strength. 3 gks=20 nap V V 40 200 (b) g g =50 ks 150 50 (c) 100 t (d) Fig. 4. 7S/m2 , gKs . 3S/m2 , where Ik is ionic current(k = N a, Kf ast, Ka, Ks, N ap). gsyn is coupling strength, Vi and Vj are voltages between adjacent neuron i and j. Here, we take i and j as 1 and 2.

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