Cole-Cole方程参数对细胞介电频谱的影响

为探讨Cole-Cole方程8个参数(Δε1,Δε2,εh,κl,f1,f2,β1,β2)对细胞介电频谱的影响,采用改变单个参数,固定其他参数的方法,观察介电频谱的变化.结果显示:Δε1影响低频介电频谱和Cole-Cole(ε′)图;Δε2影响高频介电频谱、Cole-Cole(ε′)图和Cole-Cole(κ′)图;εh影响ε′(f)、Cole-Cole(ε′)图和tgδ(f);κl对κ′(f)和Cole-Cole(κ′)图有影响;f1影响低频介电频谱;f2影响高频介电频谱;β1影响Cole-Cole(ε′)和tgδ(f);β2对高频介电频谱有影响.可见Cole-Cole方程作为细胞介电频谱的数学模型,其参数变化有规律可循.     

Global Weak Solutions for the Weakly Dissipative Camassa-Holm Equation

In this paper we prove the existence and uniqueness of global weak solutions to the weakly dissipative Camassa-Holm equation.     

ATTRACTIVITY PROPERTIES OF SOLUTIONS FOR DEGENERATE QUASILINEAR PARABOLIC EQUATIONS OF HIGHER ORDER

1IntroductionIn[1]theexistence0fweaksoluti0ns0fdegeneratequasilinearparabolicinitialboundaryvaluepr0blemonthespaceXT=Lp(O,T;V)hasbeenpr0ved,whereQT=(O,T)xfl,V=W:"(v,fl),whichisaweightedS0b0levspace.Thedegenerati0nisdeterminedbyavectorfunctionv(x)=(v.(x)),IaI=m,withp0sitivec0mponentsv.(x)inflsatisfyingcertainintegrabilityassumptions.Theaim0fthispaperistosh0wsomeattractivitypr0perties0ftheso1ution(ast-oo).Similarresultsf0rparab0licequati0nscanbefounde-g.in[2],[3].Letflbeab0unded0pensubset…     

FOURIER-CHEBYSHEV PSEUDOSPECTRAL METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATION WITH UNILATERALLY PERIODIC BOUNDARY CONDITION

A Fourier-Chebyshev pseudospectral scheme is proposed for three-dimensionalvorticily equation with unilaterally periodic boundary condition. The generalized stability and convergence are analysed. The numerical results are presented.     

Smooth equivalence of differential equations and linear automorphisms

For systems of ordinary differential equations admitting linear automorphisms, we consider the problems of smooth equivalence and linearization preserving these automorphisms. Translated fromMatematicheskie Zametki, Vol. 66, No. 4, pp. 567–578, October, 1999.     

Bifurcation of a three-unit neural network

Considered is a system of delay differential equations modeling a time-delayed connecting network of three neurons without self-feedback. Discussing the change of the number of eigenvalues with zero real part, we locate the boundary of the stability region and finally determine the largest stability region of trivial solution. We investigate the existence of bifurcation phenomena of codimension one/two of the trivial equilibrium by considering the intersections of some parameter curves, which, in the aτ-half parameter plane, correspond to zero root or pure imaginary roots. In particular, the equivariant bifurcation is studied because of the equivariance of the system. We also present numerical simulations to demonstrate the rich dynamical behavior near the equivariant Pitchfork-Hopf bifurcation points, Hopf-Hopf bifurcation points, and some higher codimension bifurcation points.     

光谱法研究甲啶铂与牛血清白蛋白的相互作用

甲啶铂(picoplatin)是一种新型的抗癌药物,但其在体内的作用机制尚不明确.利用荧光光谱技术研究模拟人生理条件(Tris-HCl缓冲溶液体系,pH7.4)下甲啶铂与牛血清白蛋白(BSA)的相互作用,甲啶铂对BSA的内源荧光(336 nm)有猝灭作用.在室温296 K和模拟人体温度310 K条件下,甲啶铂对BSA的...     

超宽带脉冲波形的收发特性分析

采用时域电场积分方程和互易原理相结合的方法,探讨了已知接收信号的情况下,脉冲发送信号的波形,并研究了视距和非视距两种传播路径对脉冲收发信号的影响.在分析中,脉冲波形和天线几何形状可以任意.分别以蝴蝶形天线和超宽带槽式天线为例,并将计算结果与已知接收脉冲信号进行了比较.它们之间良好的一致性说明了所提方法的正确性和有效性.     

漏率公式与判据和内部气体含量的分析研究(一)

在对氦质谱细检漏漏率公式的分析和对密封腔体内外气体交换过程公式的推演中,以氦气标准漏率LHe代替等效标准漏率L,引用了氦气交换时间常数τHe,使公式更为真实和简单直观。通过漏率偏差的分析和内部气体含量的计算表明,能够应用文中的公式对密封腔体内外气体的交换过程进行工程计算。计算分析了现行某些标准中各种试验条件漏率判据所对应的τHe,着重指出漏率符合接收判据并不能有效保证内部水汽含量要求。讨论了这些标准中进行的改进、存在的密封性等级及进一步改进的必要,并提出了建议进行研究的内容。     

透平叶栅三维粘性气动反问题的控制理论方法

将基于控制理论的形状优化设计方法应用于粘性可压流动条件下的透平叶栅三维气动反设计,详细推导了三维N-S方程伴随系统的偏微分方程组及其各类边界条件.讨论了伴随系统的解的适定性条件,并由此给出应用N-S方程进行气动优化的目标函数的选取限制.研究了伴随方程的数值求解技术,给出敏感性导数的最终计算式,结合拟牛顿算法发展了三维透平叶栅粘性反问题的气动设计方法.