Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with periodic treatment

We investigate a stochastic model of tumor growth derived from the catalytic Michaelis-Menten reaction with positional and environmental fluctuations under subthreshold periodic treatment. Firstly, the influences of environmental fluctuations on the treatable stage are analyzed numerically. Applying the standard theory of stochastic resonance derived from the two-state approach, we derive the signal-to-noise ratio (SNR) analytically, which is used to measure the stochastic resonance phenomenon. It is found that the weak environmental fluctuations could induce the extinction of tumor cells in the subthreshold periodic treatment. The positional stability is better in favor of the treatment of the tumor cells. Besides, the appropriate and feasible treatment intensity and the treatment cycle should be highlighted considered in the treatment of tumor cells.     

Simple model for the ionization of helium atoms by fully and partially stripped ions in the strong interaction region

Theoretical calculations employing the modified over-barrier model to investigate single and double ionization cross sections of helium in collisions with highly charged ions are presented in the strong perturbation region. It shows the velocity and charge state dependences of cross sections, which coincides with the available experimental data. In order to determine the reliability of this model for partially stripped projectiles, the cross-section ratios have been measured for CZp+, OZp+-He (Zp=1-4) by the coincidence technique in the velocity range of 1-4.5 a.u. The calculated results are approximately in agreement with the experimental data.     

领结形中空表面等离子体波导的传输特性

设计了一种领结形中空表面等离子体波导.采用频域有限差分法,对这种波导所支持的基模的能流密度分布、有效折射率、传播长度和模式面积随几何结构参数和工作波长的依赖关系进行了分析.结果表明,沿纵向的能流主要分布在两个上下突起所形成的中间区域.通过调整几何参数及工作波长,可以调节模式的有效折射率、传播长度和模式面积.在工作波长确定的条件下,有效折射率随突起半径的增大呈减小趋势,而传播长度和模式面积则随着突起半径的增大呈增大趋势,四个角上的圆弧半径对波导的传输特性有微调作用,左右扇形区域的半径对波导的传输特性有较明显 关键词： 集成光学 光波导 表面等离子体波导     

单茂钪催化非共轭双烯环化聚合及与乙烯共聚合的研究

以(C5Me4SiMe3)Sc(CH2C6H4NMe2-o)2和[Ph3C][B(C6F5)4]组成的单茂钪催化体系催化非共轭双烯均聚合及与乙烯共聚合,考察了聚合条件及非共轭双烯结构对聚合活性、产物分子量和微结构的影响.单茂钪催化体系中,单体浓度、聚合温度、聚合溶剂以及烷基铝试剂对1,5-己二烯的聚合活性和选择性以及聚合产物的分子量和分子量分布均有较大影响.室温甲苯溶剂中,单茂钪可以催化1,5-己二烯,1,6-庚二烯,1,7-辛二烯,1,9-癸二烯四种非共轭双烯聚合获得相应的聚合物;除1,9-癸二烯聚合获得不溶的交联聚合物外,其它非共轭双烯聚合均获得可溶的环烯烃聚合物.1,5-己二烯聚合形成亚甲基-1,3-环戊基(MCPN)五元环和四元环开环形成的3-乙烯基四亚甲基(VTM)结构单元.1,6-庚二烯聚合完全环化形成亚甲基-1,3-环己基(MCHX)六元环和乙烯基-1,2-环戊基(ECPN)五元环结构单元,1,7-辛二烯聚合形成亚甲基-1,3-环庚基(MCHP)七元环结构单元和未环化的悬挂己烯(HEB)结构单元.室温1.01×105Pa乙烯压力下,单茂钪催化体系还可以快速催化非共轭双烯1,5-己二烯,1,6-庚二烯,1,7-辛二烯,1,9-癸二烯与乙烯共聚合,获得含有环状结构单元、悬挂双键结构单元和聚乙烯嵌段的无规共聚物.在单茂钪催化非共轭双烯均聚合及与乙烯共聚合中,非共轭双烯的链长直接影响了其聚合活性和选择性.     

单茂钪催化剂（C5H5）Sc（CH2C6H4NMe2-o）2合成高顺式窄分布聚丁二烯

合成了6种单茂稀土催化剂Cp’LnR2(THF)n(其中,Cp’=C5H5,C5Me4SiMe3;R=CH2C6H4NMe2-o,CH2SiMe3;Ln=Sc,Y,Lu;n=0或1),并以[Ph3C][B(C6F5)4]为助催化剂,甲苯为溶剂,考察催化剂结构对丁二烯聚合活性,立体选择性,催化剂利用率以及聚合物分子量和分子量分布的影响.通过1H-NMR,13C-NMR,FTIR,GPC以及DSC对聚丁二烯进行表征,结果表明,当Cp’=C5H5,R=CH2C6H4NMe2-o,Ln=Sc,n=0时,催化剂(C5H5)Sc(CH2C6H4NMe2-o)2对丁二烯聚合活性最高,可达9600 kg-polymer/mol-Sc·h,催化剂利用率为45%,聚丁二烯顺-1,4结构含量在96%~98%之间,分子量分布窄,指数在1.3左右;以甲苯或氯苯作为聚合溶剂时,聚合活性最高,聚丁二烯分子量保持窄分布,在所有溶剂中聚丁二烯顺-1,4结构含量均达到96%以上;催化剂聚合活性随温度下降而降低,而聚合物分子量分布有变窄的趋势,温度对聚丁二烯立体选择性无明显影响;当[Bd]/[Sc]摩尔比从500增加到3000时,聚合反应1 min转化率均达到100%,聚丁二烯分子量呈可控线性增大,最高达44.6×104,且均保持聚合物窄分布.DSC谱图表明聚丁二烯Tg为-107℃,当升降温速率为10 K/min时,在-63℃和-8℃附近呈现出明显的冷结晶峰和熔融峰.     

铈配合物[Ce（4-aba）3（4-abaH）（phen）2]·H2O的合成与晶体结构

采用普通溶液法合成了单核铈配合物[Ce(4-aba)3(4-abaH)(phen)2]·H2O(4-abaH=对氨基苯甲酸,phen=1,10-邻菲罗啉)。X射线单晶衍射结果表明:该配合物晶体属单斜晶系,P21/c空间群,晶胞参数:a=1.8896(4)nm,b=1.9755(4)nm,c=1.3200(3)nm,β=97.235(2)°,V=4.8880(18)nm3,Mr=1064.06,Dc=1.446 g·cm-3,Z=4,μ=0.996 mm-1。中心铈离子的配位环境为变形的三帽三棱柱体。配合物存在着π-π堆积及丰富的氢键,将配合物扩展为三维超分子结构。     

硝酸镧对长柄扁桃试管苗生根的影响

通过极差分析研究了不同浓度的硝酸镧和生长素组合对长柄扁桃试管苗生根的影响。结果表明:对长柄扁桃生根影响的主次因素为硝酸镧(La(NO3)3)>吲哚丁酸(IBA)>吲哚乙酸(IAA),最优组合为La(NO3)320 mg·L-1+IBA 0.2 mg·L-1+IAA 0.2 mg·L-1。在此条件下培养42 d后,长柄扁桃试管苗根的诱导频率达到89%,平均根长达到9.2 cm,每株根的平均个数为9.7个。对长柄扁桃的根组织活力进行测定,结果表明添加镧的处理组根系还原力是对照(不加镧)组的1.57倍。经过移栽驯化2个月后,长柄扁桃组培苗的移栽成活率达到94%,株高是对照的1.53倍。     

Synthesis,Structure, and Properties of O6‐Corona[3]arene[3]tetrazines

O₆‐Corona[3]arene[3]tetraazines, a new class of macrocyclic compounds, were synthesized efficiently in a one‐pot reaction from the nucleophilic aromatic substitution reaction between 1,4‐dihydroxybenzene derivatives and 3,6‐dichlorotetrazine in warm acetonitrile. In the crystalline structure, the resulting macrocycles adopt highly symmetric structures of a regular hexagonal cavity with all bridging oxygen atoms and tetrazine rings located on the same plane with phenylene units orthogonally orientated. The constitutional aromatic rings are able to rotate around the macrocyclic annulus, depending on the steric effect of the substituents and temperature, in solution. The electron‐deficient nature revealed by cyclic voltammetry, differential pulse voltammetry, and characteristic absorbances at a visible region show the O₆‐corona[3]arene[3]tetrazines to be suitable macrocyclic receptors for electron‐rich guests.     

Tuning Structural Topologies of Two Cadmium(II) Coordination Polymers via Isomeric Dipyridyl Ligands: Syntheses,Crystal Structures,and Luminescent Properties

Abstract. Two new coordination polymers {[Cd₂(BDC)₂(3‐bpmp)(H₂O)₂] · 2H₂O}_n ( 1 ) and [Cd₂(BDC)₂(4‐bpmp)]_n ( 2 ) [H₂BDC = 5‐hydroxy‐isophthalic acid, 3‐bpmp = 1,4‐bis(3‐pyridylmethy)piperazine, and 4‐bpmp = 1,4‐bis(4‐pyridylmethy) piperazine] were synthesized via hydrothermal synthesis, and further characterized by IR spectroscopy, elemental analysis, XRD, and X‐ray crystallography. Complex 1 shows a two‐dimensional (4,4) sql topology and complex 2 features an 8‐connected hex topology. Moreover, the luminescent properties of complexes 1 and 2 were investigated in the solid state at room temperature.     

A New Tricarboxylate‐Terbium(III) Compound: Synthesis,Structure, and Luminescent Property

The Tb^III compound [Tb(tci)(H₂O)]_n · n(DMF) ( 1 ) [H₃tci = tri(2‐carboxythyl)isocyanurate, DMF = N,N′‐dimethylformamide] was synthesized by the reaction of terbium oxide, H₃tci, and two drops of concentrated nitric acid in the presence of DMF and H₂O. Single crystal X‐ray analysis reveals that it features a three‐dimensional (3D) framework based on infinite –Tb–COO–Tb– chains. The tci ligand in 1 links six different Tb^III ions with its two carboxylate groups in μ₂‐κ¹O;κ²O,O′ mode and the third in μ₂‐κ¹O;κ¹O′ mode. Thermal analysis reveals that it remains high thermal stability until 390 °C. Luminescence investigation shows that it emits characteristic green light of Tb^III ions.