Pattern transition and regulation in a subthalamopallidal network under electromagnetic effect

Although the significant roles of magnetic induction and electromagnetic radiation in the neural system have been widely studied, their influence on Parkinson's disease (PD) has yet to be well explored. By virtue of the magnetic flux variable, this paper studies the transition of firing patterns induced by magnetic induction and the regulation effect of external magnetic radiation on the firing activities of the subthalamopallidal network in basal ganglia. We find: (i) The network reproduces five typical waveforms corresponding to the severity of symptoms: weak cluster, episodic, continuous cluster, episodic, and continuous wave. (ii) Magnetic induction is a double-edged sword for the treatment of PD. Although the increase of magnetic coefficient may lead the physiological firing activity to transfer to pathological firing activity, it also can regulate the pathological intensity firing activity with excessive β-band power transferring to the physiological firing pattern with weak β-band power. (iii) External magnetic radiation could inhibit continuous tremulous firing and β-band power of subthalamic nucleus (STN), which means the severity of symptoms weakened. Especially, the bi-parameter plane of the regulation region shows that a short pulse period of magnetic radiation and a medium level of pulse percentage can well regulate pathological oscillation. This work helps to understand the firing activity of the subthalamopallidal network under electromagnetic effect. It may also provide insights into the mechanisms behind the electromagnetic therapy of PD-related firing activity.     

A short note on the entrainment and exit boundary conditions

An attempt is made to find out the suitable entrainment and exit boundary conditions in laminar flow situations. Streamfunction vorticity formulation of the Navier–Stokes equations are solved by ADI method. Two‐dimensional laminar plane wall jet flow is used to test different forms of the boundary conditions. Results are compared with the experimental and similarity solution and the proper boundary condition is suggested. The Kind 1 boundary condition is recommended. It consists of zero first derivative condition for velocity variable and for streamfunction equation, mixed derivative at the entrainment and exit boundaries. Copyright © 2005 John Wiley & Sons, Ltd.     

静态球对称黑洞Dirac场的统计熵

利用改进的brickwall模型,给出了一类静态球对称黑洞Dirac场的熵,结果表明,在取相同的截断因子时,Dirac场的熵均为标量场的熵的72倍 关键词： 黑洞 统计熵 brickwall模型 Dirac场     

ON A LINEAR DELAY DIFFERENCE EQUATION WITH IMPULSES

IIntroductlonLet N denote the set of all Integers．FOr any a;b E N,define N(a)＝{a,a＋1,…},N(a,b)二{a,a＋1,…,b}when a＜b．Consider the dlf卜巳renceequationl 凸x。＋P。x。－。＝0;nEN(0)andN4n。;2—“－””’”门二l0 凸X。,＝~X。,,JENO);where A denotes the forward difference operator八。。＝x。＋l一 x。,{P。} Isa sequence ofnon－negative real numbers,{nj}Is a sequence ofnon－negativeIntegers with nj＜nj＋lfor j E N(1)and nj一 co as ;一 co,{4}Is a sequence。I优。且皿mb ers,…     

The entropy of Garfinkle-Horne dilaton black hole due to arbitrary spin fields

Using the membrane model which is based on brick wall model, we calculated the free energy and entropy of Garfinkle-Horne dilatonic black hole due to arbitrary spin fields. The result shows that the entropy of scalar field and the entropy of Fermionic field have similar formulas. There is only a coefficient between them.     

三阶脉冲线性微分方程解的振动性与渐近性

给出引理解决了方程非振动解与其各阶导数的符号关系，并由此得到了若干判别准则，用于判别三阶线性脉冲微分方程解的振动性与渐近性，举例说明了准则的有效性。本文推广了相关文献的结果。     

水平均匀大气中多束光在接收面上的相关性及其对光强起伏的影响

在科尔莫戈罗夫理论的基础上，推广了光束在接收面上相关函数的物理含义。分析了多光束在接收面上的相关性。并在此基础上形成多光束光强起伏方差的解析表达式。分析结果表明，随着信道间距的增加，信道相关性下降。到达接收面的光强起伏方差降低；当信道完全重合，即相关系数变为1时，叠加后的光强起伏方差没有明显降低。与单光束时没有区别；在允许范围内增加光束数目可降低光强起伏。     

U型管内液柱振动的演示实验研究

根据实验结果，分析了影响U型管中液柱振动的各种因素，给出了获得好的演示效果的改进措施．     

OSCILLATION RESULTS FOR A SECOND ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.     

一阶非线性时滞微分方程解的振动性

本文通过使用化多时滞为单时滞的技巧，研究了一类广泛的非线性泛函微分方程解的振动性，所得结果包含和改进了Hunt，Yorke等多人的结果．