红外光谱法检测生物大分子损伤的研究进展

红外光谱技术由于其灵敏度高和对样品的非破坏性等优点已成为研究生物大分子损伤的重要工具。蛋白质、脂质和核酸等受到损伤时,其红外光谱特征吸收峰的峰位、峰型和峰强会发生变化,这为检测生物大分子损伤并进一步揭示相关疾病的发生、发展及早期预防提供了依据。还综述了近年来使用红外光谱法检测生物大分子损伤的研究进展,介绍了利用傅里叶变换红外光谱、衰减全反射傅里叶变换红外光谱和傅里叶红外显微等技术在蛋白质二级结构、膜脂流动性和离子通透性以及药物对DNA的作用机制等领域的应用,以及相关的定性和定量分析方法进行了评述,提出了目前红外光谱分析技术中存在的问题,并对今后红外光谱在生物医学领域中的应用前景作了展望,指出疾病早期诊断、红外光谱联用以及定量分析技术等将成为红外光谱领域未来的研究热点。     

次谐波聚束器相位控制的算法改进

 为实现次谐波聚束器的数字化相位控制,利用下变频、IQ调制解调技术及商业化的PXI系统,开发了以LabVIEW为平台的低电平控制器。控制器采用了具有自学习和自适应能力的单神经元自适应PID的控制算法,满足了相位稳定度的要求,通过现场测试与传统PID算法进行比较,验证了该算法稳定性好、响应快、抗干扰能力强。     

光参量荧光寿命分布

 根据荧光寿命定义和放大过程获得的增益方程,研究了新型非线性晶体BaAlBO₃F₂中三种不同的相位匹配模式下中心波长532 nm泵浦的参量荧光光子寿命的分布特性。结果表明,当注入单色信号光时,参量荧光寿命随泵浦光相位匹配角的增加由椭圆体分布变化为圆环体分布。采用宽带信号光时,则由分散分布改变为集中在近200 nm波长范围内分布,并随泵浦光相位匹配角的增加而逐步减小。考虑宽带泵浦光注入情况时,参量荧光寿命的分布范围由于相位匹配范围增加而随之扩展。     

Long time behavior of the Fokker-Planck-Boltzmann equation

This paper is devoted to the existence and long time behavior of the global classical solution to Fokker-Planck-Boltzmann equation with initial data near the absolute Maxwellian.     

求解非线性P_0互补问题的非单调磨光算法

提出了一种新的磨光函数,在分析它与已有磨光函数不同特性的基础上,研究了将它用于求解非线性P_0互补问题时,其磨光路径的存在性和连续性,进而设计了求解一类非线性P_0互补问题的非单调磨光算法.在适当的假设条件下,证明了该算法的全局收敛性和局部超线性收敛性.数值算例验证了算法的有效性.     

半线性椭圆问题Petrov-Galerkin逼近及亏量迭代

本文考虑了二阶半线性椭圆问题的Petrov-Galerkin逼近格式,用双二次多项式空间作为形函数空间,用双线性多项式空间作为试探函数空间,证明了此逼近格式与标准的二次有限元逼近格式有同样的收敛阶.并且根据插值算子的逼近性质,进一步证明了半线性有限元解的亏量迭代序列收敛到Petrov-Galerkin解.     

Local limit theorems for multiplicative free convolutions

This paper describes the quality of convergence to an infinitely divisible law relative to free multiplicative convolution. We show that convergence in distribution for products of identically distributed and infinitesimal free random variables implies superconvergence of their probability densities to the density of the limit law. Superconvergence to the marginal law of free multiplicative Brownian motion at a specified time is also studied. In the unitary case, the superconvergence to free Brownian motion and that to the Haar measure are shown to be uniform over the entire unit circle, implying further a free entropic limit theorem and a universality result for unitary free Lévy processes. Finally, the method of proofs on the positive half-line gives rise to a new multiplicative Boolean to free Bercovici–Pata bijection.     

A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R ³, and provide a new regularity criterion involving only two entries of the Jacobian matrix of the velocity field.     

Robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties

The problem of robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties is investigated in this article. It is only assumed that the upper normal bound of uncertain inner and outer coupling matrices is positive but its concrete structure is not also required to be known. The time‐varying coupling delay is a any nonnegative continuous and bounded function and not require its derivative to be less than one, that is, general time‐varying coupling delays and uncertainties. For such a class of uncertain complex networks, a new synchronization scheme is presented by a class of continuous memoryless robust decentralized adaptive synchronization controllers. It is also shown that the synchronization error dynamics of uncertain complex networks can be guaranteed as uniformly exponentially convergent toward a ball that can be as small as desired. Finally, numerical simulations are provided to demonstrate the effectiveness and robustness of proposed complex networks synchronization schemes. © 2013 Wiley Periodicals, Inc. Complexity 19: 10–26, 2014     

The price of fairness with the extended Perles–Maschler solution

In Nash bargaining problem, due to fairness concerns of players, instead of maximizing the sum of utilities of all players, an implementable solution should satisfy some axioms or characterizations. Such a solution can result in the so-called price of fairness, because of the reduction in the sum of utilities of all players. An important issue is to quantify the system efficiency loss under axiomatic solutions through the price of fairness. Based on Perles–Maschler solution of two-player Nash bargaining problem, this paper deals with the extended Perles–Maschler solution of multi-player Nash bargaining problem. We give lower bounds of three measures of the system efficiency for this solution, and show that the lower bounds are asymptotically tight.