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本文研究了时间延迟对Logistic系统从亚稳态跃迁到稳定态的跃迁率的影响. 假设在细胞演化过程中细胞衰减存在时间延迟,利用小延迟时间条件下一阶近似方法和最陡下降法导出了系统的跃迁率解析式. 数值计算结果表明,内噪声,外噪声和内外噪声之间的关联促使系统从亚稳态跃迁到稳定态, 而时间延迟阻碍了系统从亚稳态到稳定态的跃迁, 即时间延迟增强了系统亚稳态的稳定性.
关键词:
Logistic模型
跃迁率
时间延迟
噪声 相似文献
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Lu Yu Yongyun Zhou Xin Xu Sifeng Li Jianbin Xu Baomin Fan Chengyuan Lin Zhaoxiang Bian Albert S.C. Chan 《Tetrahedron letters》2014
As an efficient catalyst, the [Ir(COD)Cl]2/NMDPP complex has been successfully applied to promote the asymmetric ring opening reaction of oxabenzonorbornadienes with various amines, which afforded the corresponding products in good yields (72–98%) with good enantioselectivities (80–90% ee). 相似文献
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《中国化学快报》2020,31(6):1572-1575
Herein, we report the first RhIII-catalyzed regioselective C8 arylation of quinoline N-oxides with commercially available arylboronic acids as coupling partners. This procedure is simple, and the reaction shows perfect regioselectivity, a broad substrate scope, and isolated yields of up to 92%. We demonstrate the utility of the reaction by using it for late-stage functionalization of a fungicide. 相似文献
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Practical and improved procedures for the synthesis of 7-bromo-(Z,E)-4,6-heptadienal by Pd(II)-catalyzed coupling reaction were developed. Based on the improved method, an efficient and stereoselective synthesis of (Z,E)-9,11-hexadecadienal, the main pheromone component of the sugarcane borer, Diatraea saccharalis, was achieved in 38% overall yield, which more desirable then previously reported methods. The stereochemistry relied on cross-coupling between Grignard reagent and protected 7-bromo-(Z,E)-4,6-heptadienal. The concise and facile synthetic strategy described herein provided a generally synthetic approach to other (Z,E)-dienic compounds. 相似文献
76.
《Tetrahedron: Asymmetry》2014,25(23):1513-1519
The organocatalyzed enantioselective cascade sulfa-Michael/Michael addition reaction of (E)-3-mercapto-2-butenoic acid esters to (E)-3-aryl-2-(indol-3-ylcarbonyl)acrylonitriles has been developed. This process was promoted by a chiral squaramide catalyst to afford chiral 3-substituted indole derivatives containing tetrahydrothiophene with three contiguous stereocenters in excellent diastereoselectivities (up to >20:1 dr) with moderate to good yields and enantioselectivities (up to 93%, 89% ee). 相似文献
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Shi Wen Yu Tao Hong Lic Xiao Mei Yangd Li Qing Yina Li Feng Yaoa Xiao Guang Xie a 《中国化学快报》2009,20(6)
Two possible reactions ofNbS+ (<3∑-,1ΓF) with CO in the gas phase have been studied by using B3LYP and CCSD(T) methods:the O/S exchange reaction (NbS+?" CO→NbO+?"CS) and the S-transfer reaction (NbS+?"CO→Nb+?"COS). The two reactions have a one-step mechanism. The barriers of the O/S exchange reaction on the triplet and singlet surfaces are 51.2 and 52.4 kcal/mol,respectively, and the barriers of the S-transfer reaction are 58.3 and 78.0 kcal/mol, respectively. The results indicate that the S-transfer and the O/S exchange reaction of the 3∑- ground state of NbS+ are competing, but, for the S-transfer reaction, the 1Γ exited state is more reactive. The differences between the reactions of NbS+ (3∑-, 1F) and VS+ (3∑-, 1Γ) are discussed. 相似文献
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Feng Ge Chaoyin Chen Diqiu Liu Benyong Han Xiangfeng Xiong Shenglan Zhao 《Journal of luminescence》2010,130(1):168-173
The binding properties on theasinesin to human serum albumin (HSA) have been studied for the first time using fluorescence spectroscopy in combination with UV–vis absorbance spectroscopy. The results showed that theasinesin strongly quenched the intrinsic fluorescence of HSA through a static quenching procedure, and non-radiation energy transfer happened within molecules. The number of binding site was 1, and the efficiency of Förster energy transfer provided a distance of 4.64 nm between tryptophan and theasinesin binding site. At 298, 310 and 323 K, the quenching constants of HSA–theasinesin system were 2.55×103, 2.16×103 and 1.75×103 mol L−1. ΔHθ, ΔSθ and ΔGθ were obtained based on the quenching constants and thermodynamic theory (ΔHθ<0, ΔSθ>0 and ΔGθ<0). These results indicated that hydrophobic and electrostatic interactions are the mainly binding forces in the theasinesin–HSA system. In addition, the results obtained from synchronous fluorescence spectra showed that the binding of theasinesin with HSA could induce conformational changes in HSA. 相似文献