Analysis of a phase synchronized functional network based on the rhythm of brain activities

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.     

火灾时LPG储罐内传热传质过程分析

本文建立了火灾情况下LPG储罐内传热传质过程的数学模型,并对装有60％丙烷水平放置的圆柱形储罐在受热时储罐内的压力,储罐内介质的温度以及储罐壁温度的变化过程进行了模拟。计算结果表明在强烈受热时,储罐阀门打开后压力有可能攀升,包围蒸汽区的储罐壁温度最高可达600-700℃左右。计算结果和实验结果进行了对比,结果吻合良好。     

关于Boussinesq方程Barenblatt幂级数解的注记

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．     

变环境下相同二项型单元数据向系统数据的熵法折合

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.     

考虑非傅立叶效应的固液相变分子动力学模拟

采用耦合双温度模型的分子动力学方法对飞秒激光照射金箔的固液相变过程进行了模拟研究,利用序参数法对固液原子进行判定从而确定了金箔发生相变时的固液界面位置和温度,对基于傅立叶定律的抛物线模型和考虑非傅立叶效应的双曲线模型模拟得到的结果进行对比分析,在此基础上采用耦合双曲线模型的分子动力学方法研究了激光能量密度和脉冲宽度对金箔相变过程的影响.结果表明,当激光作用于金箔时,金箔上表面首先熔化,固液界面随时间不断向金箔底部移动,并且在相同条件下,双曲线模型下的金箔熔化深度和固液界面温度均大于抛物线模型的结果.当考虑非傅里叶效应时,激光能量密度越大,固液界面温度越高,金箔熔化时间越短;激光脉冲宽度越小,固液界面温度越大,金箔熔化速度越快.     

MgO(100)衬底上生长BaTi2O5薄膜及其性能研究

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.     

Note on Barenblatt power series solution to Boussinesq equation

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.     

周期性矩形槽通道入口流动与换热的数值分析

对周期性矩形槽流道入口的流动与换热进行了数值模拟。结果表明:在所考虑的参数条件下,流动和换热是非稳态的,并且随着Re的增大,这种随时间变化的特点越明显;当Re等于100、200时,经过1~2个几何周期,各周期的流速分布和无量纲温度的分布基本相同,流动和换热表现为明显的周期性充分发展特征。     

基于因子分析方法的相位同步脑电源的时-空动力学分析

头皮脑电时间序列的相关性是大脑皮层源的相位同步性的一种体现,因此对相位同步源进行定位,同时找到源对应的时间序列在脑成像研究领域具有重要意义.基于Rössler 模型提出仿真相位同步偶极子源的时间序列的方法,利用时间序列进行同心四层球头模型正演,获得仿真头皮脑电数据.提出了基于最大似然因子分析的相位同步脑电源的时-空动力学分析方法,对仿真和真实头皮脑电数据进行了验证,并与主成分分析法进行对比.仿真实验结果表明:最大似然因子分析法估计的时间序列与仿真源的时间序列具有更高的相关系数,同时估计源与仿真源 关键词： 脑电图 相位同步 因子分析 主成分分析     

恒热流锯齿型通道流动和换热的非稳态特性

本文对恒热流边界条件下锯齿型通道内流动与换热的非稳态特性进行了数值模拟.在本文计算的Re范围内,流动和换热随时间发生振荡,且U-V和Nu-θ相图表明,振荡是周期性的;在入口段后,发生振荡的各几何周期的流场、温度场随时间变化的规律基本相同,不同周期对应点的U、θ相同,只是在时间上不完全同步,U-V和Nu-θ相图上的曲线重合良好,因此仍具有周期性充分发展的特性.