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We propose a catalytically activated duplication model to mimic the
coagulation and duplication of the DNA polymer system under the
catalysis of the primer RNA. In the model, two aggregates of the
same species can coagulate themselves and a DNA aggregate of any
size can yield a new monomer or double itself with the help of RNA
aggregates. By employing the mean-field rate equation approach we
analytically investigate the evolution behaviour of the system. For
the system with catalysis-driven monomer duplications, the aggregate
size distribution of DNA polymers ak(t) always follows a power
law in size in the long-time limit, and it decreases with time or
approaches a time-independent steady-state form in the case of the
duplication rate independent of the size of the mother aggregates,
while it increases with time increasing in the case of the
duplication rate proportional to the size of the mother aggregates.
For the system with complete catalysis-driven duplications, the
aggregate size distribution ak(t) approaches a generalized or
modified scaling form. 相似文献
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Evolution behavior of catalytically activated replication-decline in a coagulation process 下载免费PDF全文
We propose a catalytically activated replication-decline model of three species, in which two aggregates of the same species can coagulate themselves, an A aggregate of any size can replicate itself with the help of B aggregates, and the decline of A aggregate occurs under the catalysis of C aggregates. By means of mean-field rate equations, we derive the asymptotic solutions of the aggregate size distribution ak(t) of species A, which is found to depend strongly on the competition among three mechanisms: the self-coagulation of species A, the replication of species A catalyzed by species B, and the decline of species A catalyzed by species C. When the self-coagulation of species A dominates the system, the aggregate size distribution a~(t) satisfies the conventional scaling form. When the catalyzed replication process dominates the system, ak(t) takes the generalized scaling form. When the catalyzed decline process dominates the system, ak(t) approaches the modified scaling form. 相似文献
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利用光学传输矩阵方法,模拟计算了由铁磁材料组成的一维光子晶体的光学传输特性.研究了能带结构随介质层厚度h(O ≤h≤0.5λ0 λ0=1.2×10-6m)变化的规律,并与相同周期结构的普通光子晶体的传输特性进行了比较.结果表明,当O.15λ0<h<0.165λ0时,铁磁光子晶体的带隙宽度略小于普通光子晶体的带隙宽度;在h取其他值时铁磁光子晶体的带隙宽度远远大于普通光子晶体的带隙宽度,并且在h=0.25λ0时存在最大值.这种结构的光子晶体通过掺杂有望在多通窄带滤波技术中得到广泛的应用. 相似文献
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