BIOLUMINESCENCE TOMOGRAPHY： BIOMEDICAL BACKGROUND,MATHEMATICAL THEORY,AND NUMERICAL APPROXIMATION

Over the last couple of years molecular imaging has been rapidly developed to study physiological and pathological processes in vivo at the cellular and molecular levels. Among molecular imaging modalities, optical imaging stands out for its unique advantages, especially performance and cost-effectiveness. Bioluminescence tomography （BLT） is an emerging optical imaging mode with promising biomedical advantages. In this survey paper, we explain the biomedical significance of BLT, summarize theoretical results on the analysis and numerical solution of a diffusion based BLT model, and comment on a few extensions for the study of BLT.     

Periodic Wave Solutions for （2＋1）-Dimensional Boussinesq Equation and （3＋ 1）-Dimensional Kadomtsev-Petviashvili Equation

For describing various complex nonlinear phenomena in the realistic world, the higher-dimensional nonlinear evolution equations appear more attractive in many fields of physical and engineering sciences. In this paper, by virtue of the Hirota bilinear method and Riemann theta functions, the periodic wave solutions for the （2＋1）-dimensional Boussinesq equation and （3＋1）-dimensional Kadomtsev Petviashvili （KP） equation are obtained. Furthermore, it is shown that the known soliton solutions for the two equations can be reduced from the periodic wave solutions.     

[Ni（H2O）（tptz）（C2O4）]·4H2O的合成、结构与表征

在CH3OH／H2O混合溶剂中，经2，4，6-三（2-吡啶基）-1，3，5-三嗪（tptz）、草酸和新制Ni（OH）2／NiCO3反应合成得到配合物[Ni（H2O）（tptz）（C2O4）]·4H2O．单晶X-射线衍射分析表明：它与已报道的[M（H2O）（tptz）（C2O4）]·4H2O（M=Co（2）、Cu（3）、Zn（4））配合物同晶形，属三斜晶系，P1空间群，晶胞参数a=7．760（2）A，b=12．116（2）A，c=13．031（3）A，α=78．76（4）°，β=83．84（3）°，γ=78．69（3）°，V=1175．3（5）A^3，Z=2，Dc=1．543，F（000）=562，R1=0．0472，wR2=0．1350，GOF=1．088．在配合物的结构基础上与同晶形结构进行比较分析，并研究了它们的IR及TG／DTA测试表征．     

Weighted endpoint estimates for commutators of Marcinkiewicz integrals

Let μΩ^mb be the commutator generalized by μΩ, the n-dimensional Marcinkiewicz integral, and b ∈ BMO（R^n）. The author establishes the weighted weak LlogL-type estimates for μΩ^mb when Ω satisfies a kind of Dini conditions, which improves the known result essentially.     

Small Compact Perturbation of Operators in B∞（Ω）

Abstract： We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in B∞（Ω） and certain operator have a small compact perturbation which is a strongly irreducible operator in B∞（Ω）？ In this paper, we prove that the direct sum of any strongly irreducible operator in B∞（Ω） and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in B∞（Ω）.     

东海区海岸带景观格局变化对生态系统服务价值的影响

对大尺度、长时序的海岸带景观格局和生态系统服务价值(ecosystem services value,ESV)的研究，有利于更好地促进区域生态系统保护工作的开展。以1990，1995，2000，2005，2010，2015年6期遥感影像解译结果为基础，对东海区海岸带景观格局变化特征和ESV时空演变进行了分析，并探讨了ESV与景观格局变化二者间的关系。结果表明，1990—2015年的25 a间，受人类活动的影响，东海区海岸带农田和海域面积大量减少，建设用地面积大幅增加；在所研究的5类地貌类型中，除中起伏山地外，其余地貌类型景观面积转移都较为剧烈。25 a间东海区海岸带斑块数量、斑块密度、边界密度、shannon多样性指数等不断增加，景观破碎化、复杂化、多样化增强。农田景观的最大斑块指数、形态指数、边界密度等变化均较大。东海区海岸带ESV呈先增加后减小的趋势，其中森林景观对ESV总量贡献最大；水文调节、生物多样性维持、气候调节、土壤保持、废物处理和气体调节是东海区海岸带主要的生态系统服务功能；在空间上表现出以单位面积中、低ESV为主导的空间分布，高、极高和极低ESV分布较少。研究区ESV总量与农田和海域以及水域和建设用地面积显著相关；与斑块密度、边界密度和形态指数呈显著负相关。同时，食物生产、气体调节、气候调节、土壤保持和生物多样性维持的服务价值与景观指数间均显著相关。     

Optimal consumption models in economic growth

We study the optimal consumption problem in the one-sector model of economic growth under uncertainty. We show the existence of a classical solution of the Hamilton-Jacobi-Bellman equation associated with the stochastic optimization problem, and then give an optimal consumption policy in terms of its solution.     

基于生存概率的保险基金最优投资策略研究

利用破产理论和随机控制理论研究保险基金最优投资策略,建立生存概率最大化的目标函数,得到最优投资策略满足的随机微分方程;在初始金逼近0时得到保险基金的最优投资策略的显示解;采用递推算法,得到初始准备金为任意值时的最优投资策略.     

Syntheses,Crystal Structures and Thermal Properties of Two Dicadmiun（Ⅱ） Complexes CdeLeX2 （HL = N-（3-Methoxylsalicylidene）-3- dimethylaminopropylamine,X = Cl （1）, NCS （2））

Two Cd（Ⅱ） complexes, Cd2L2Cl2 （1） and Cd2L2（NCS）2 （2） （HL = N-（3-methoxylsalicylidene）-3-dimethylaminopropylamine） were synthesized and determined by EA, IR, TG and single-crystal X-ray diffraction. The crystallographic data are as follows： monoclinic, space group P21/n, a = 9.2710（9）, b = 18.0069（18）, c = 18.5562（19） A^°, β= 99.741（4）°, V = 3053.1（5）, Z = 4,μ = 1.605, F（000） = 1536, R = 0.0264 and wR = 0.0699 for 1; orthorhombic, space group Pca21, a = 16.196（3）, b = 11.506（2）, c = 36.126（7） A^°, V = 6732（2）, Z = 8,μ = 1.428, F（000） = 3264, R = 0.0376 and wR = 0.0877 for 2. There are two geometrically different octahedral Cd（Ⅱ） atoms, with N4O2 and O4Cl2 donor sets for 1 while N4O2 and N2O4 for 2. In the dinuclear Cd（Ⅱ） centers, the Cd（Ⅱ） atoms are held together by two deprotonted phenolate oxygen atoms from tetradentate L^- ligands. The thermal gravity data show two step decompositions with the residues of CdO for two complexes.