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131.
Several models of prebiological systems are described and analyzed. The following models are characterized: a quasispecies model, a hypercycle model, a syser model (the term "syser" is an abbreviation of SYstem of SElf-Reproduction), a stochastic corrector model, a model of the origin of a primordial genome through spontaneous symmetry breaking. The quasispecies model analyzes the Darwinian evolution of information chains; this evolution is similar to the evolution of RNA molecules. Rather general estimates of the speed and efficiency of evolutionary processes can be obtained in the framework of the quasispecies model. We briefly describe the method for obtaining these estimates and the corresponding results. The hypercycle model considers the interaction of RNA chains and enzymes. The syser model characterizes a rather general scheme of the self-reproducing system, which is similar to the self-reproducing systems of biological cells. Syser includes a polynucleotide sequence, a replication enzyme, a translation enzyme, and other enzymes; these macromolecules are located inside the protocell. The stochastic corrector model describes the process of using a relatively small number of molecules of competing and cooperating replicators in protocells. The model of the origin of a primordial genome through spontaneous symmetry breaking characterizes an interesting and important process of the appearance of genotypes in protocells. This model was proposed and investigated by Takeuchi, Hogeweg, and Kaneko in 2017; we call it further “the THK model.” The current article characterizes and compares all these models.  相似文献   
132.
133.
Existence of infinitely many periodic solutions for the 1-dimensional p-Laplacian equation
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134.
采用室温共沉淀、分步沉淀和共沉淀、分步沉淀水热法制备了Ce0.6Zr0.3Pr0.1O2纳米复合氧化物。X射线衍射(XRD)、N2物理吸附、透射电镜(TEM)、H2程序升温还原(H2-TPR)和热重分析技术(TG)表征结果表明:分步沉淀水热法有利于锆离子和镨离子进入CeO2晶格和提高Ce0.6Zr0.3Pr0.1O2纳米复合氧化物的热稳定性、氧化还原性能和储释氧性能。制备过程中未加入任何表面活性剂,1000℃焙烧4 h后,其晶粒尺寸可控制在8~15 nm,比表面积仍能保持在66 m2·g-1,释氧量维持在1713μmol[O]·g-1CeO2。  相似文献   
135.
The article describes a colorimetric assay for the determination of thrombin. It is based on the application of a triple enzyme-mimetic activity and a dual aptamer binding strategy. The triple signal amplification relies on oxidation of the chromogenic enzyme substrate 3,3,5,5-tetramethylbenzidine (TMB) that is catalyzed by composites consisting of graphene oxide (GO), gold/platinum nanoparticles (AuPtNP), and aptamer (Apt15), a G-quadruplex/hemin conjugate. The dual-aptamer target binding strategy is based on the fact that thrombin has two active sites to be recognized by its aptamers (Apt15 and Apt29). Magnetic beads (MBs) were modified with Apt29 (Apt29-MB) and then are bound by the GO-AuPtNP-Apt15/G-quadruplex/hemin composites. In the presence of thrombin, Apt29-MB and the GO-AuPtNP-Apt15/G-quadruplex/hemin composites form a sandwich-like superstructure. Thus, the absorbance increases due to the formation of TMB oxide produced by catalysis of the composites. Under optimized conditions, the absorbance at 450 nm increases linearly in the 0.30 to 100 nM thrombin concentration range, and the limit of detection is 0.15 nM. The method is simple, rapid, and does not require complicated instrumentation. Bovine serum albumin, human serum albumin and other proteins were found not to interfere.
Graphical abstract Schematic presentation of the photometric thrombin assay based on a triple enzyme-mimetic activity of combined nanomaterials (consisting of GO, AuPtNPs and the G-quadruplex/hemin DNAzyme) and two aptamers TMB: 3,3,5,5-tetramethylbenzidine, TMBox: 3,3,5,5-tetramethylbenzidine oxide, AuPtNP: gold/platinum nanoparticles).
  相似文献   
136.
一维p-Laplacian方程奇异边值问题的正解   总被引:7,自引:0,他引:7  
熊明  王绍荣 《数学学报》2006,49(1):161-168
本文讨论了一维p-Laplacian方程奇异边值问题的正解的存在性,其中函数f(t,x)可能在t=0,1都有奇点  相似文献   
137.
138.
一类Banach空间中的分析性质及反例   总被引:1,自引:0,他引:1       下载免费PDF全文
本文对具有Schauder基的无穷维Banach空间上的映射定义偏导数,并讨论f的可徽性与偏导数存在并连续的关系;同时,本文还时论象所在空间为具有Schauder基的空间时,映射f与坐标映射fi在可微性、连续性方面的关系.  相似文献   
139.
An approximate critical explosion parameter, which separates the slow and explosive reactions is determined with respect to the initial data, using the asymptotic technique to analyze a one step reaction mechanism with temperature dependent pre-exponential factor. We obtained and analysed the effect of the variable pre-exponential factor on the critical temperature, critical parameter for thermal explosion and the first order approximation of the slow curve. By introducing a new coordinate and using the Method of Invariant Manifold (MIM), we obtained corrections on the critical temperature. The results obtained are not only general; they also reveal some salient properties of the system hitherto unknown.  相似文献   
140.
该文讨论了如下一维 p-Laplacian 方程-(|u'(t)|p-2u'(t))'=a(t)f(u(t)), t∈(0,1) u(0)=u(1)=0 的两点奇异边值问题正解的存在性,其中f可能在t=0,1都有奇点.  相似文献   
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