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Analysis of a phase synchronized functional network based on the rhythm of brain activities
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Rhythm of brain activities represents oscillations of postsynaptic potentials in neocortex, therefore it can serve as an indicator of the brain activity state. In order to check the connectivity of brain rhythm, this paper develops a new method of constructing functional network based on phase synchronization. Electroencephalogram (EEG) data were collected while subjects looking at a green cross in two states, performing an attention task and relaxing with eyes-open. The EEG from these two states was filtered by three band-pass filters to obtain signals of theta (4--7 Hz), alpha (8--13 Hz) and beta (14--30 Hz) bands. Mean resultant length was used to estimate strength of phase synchronization in three bands to construct networks of both states, and mean degree K and cluster coefficient C of networks were calculated as a function of threshold. The result shows higher cluster coefficient in the attention state than in the eyes-open state in all three bands, suggesting that cluster coefficient reflects brain state. In addition, an obvious fronto-parietal network is found in the attention state, which is a well-known attention network. These results indicate that attention modulates the fronto-parietal connectivity in different modes as compared with the eyes-open state. Taken together this method is an objective and important tool to study the properties of neural networks of brain rhythm. 相似文献
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通过幂级数展开的方法推求得出了Barenblatt幂级数解的各项系数之间的递推公式(对半无限长多孔介质中地下水流动的Boussinesq方程的自相似解,在边界水头随时间幂函数变化的条件下,Barenblatt(1952)得到了一个幂级数解,但他仅仅列出了其前3项的系数,既没有给出整个幂级数解所有系数的递推关系式,也没有证明该幂级数解的收敛性.),并对该级数的收敛性进行了证明,同时对解的实际应用作了讨论.这些研究结论易于理解,方便工程技术人员应用于流域水文学和基流研究及解决农业排水等实际问题. 相似文献
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To the self-similar analytical solution of the Boussinesq equation of ground-water flow in a semi-infinite porous medium, when the hydraulic head at the boundary behaved like a power of time, Barenblatt obtained a power series solution. However, he listed only the first three coefficients and did not give the recurrent formula among the coefficients. A formal proof of convergence of the series did not appear in his works. In this paper, the recurrent formula for the coefficients is obtained by using the method of power series expansion, and the convergence of the series is proven. The results can be easily understood and used by engineers in the catchment hydrology and basefiow studies as well as to solve agricultural drainage problems. 相似文献
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在考虑环境因子的情况下,研究给出了系统环境因子的计算方法及二项型单元数据向二项型系统数据的熵法折合公式.随后的算例表明了该方法的合理性和有效性. 相似文献
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利用脉冲激光沉积技术,在MgO(100)衬底上生长了BaTi2O5薄膜,探讨了沉积条件(衬底温度和氧分压)对薄膜结构的影响,并对其介电和光学性能进行了研究.结果表明:随衬底温度和氧分压的改变,BaTi2O5薄膜的物相和结晶取向逐渐变化;适宜的脉冲激光沉积工艺为衬底温度950~1000 K、氧分压12.5 Pa,在该条件下获得了b轴方向择优生长的BaTi2O5薄膜;该薄膜具有较高的居里温度(750 K),介电常数达2000,而且在可见光和红外波长范围内具有较高的透过率. 相似文献
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