Kinetics of catalytically activated duplication in aggregation growth
Wang Hai-Feng(王海锋)a)†, Lin Zhen-Quan(林振权)b), Gao Yan(高艳)a), and Xu Chao(胥超)a)
a Key Laboratory of Ecophysics and Department of Physics, Teachers College, Shihezi University, Shihezi 832003, China; b Department of Physics, Wenzhou University, Wenzhou 325027, China
Abstract 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.
Received: 07 January 2009
Revised: 10 February 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10275048, 10305009
and 10875086) and by the Zhejiang Provincial Natural Science
Foundation of China (Grant No 102067).
Cite this article:
Wang Hai-Feng(王海锋), Lin Zhen-Quan(林振权), Gao Yan(高艳), and Xu Chao(胥超) Kinetics of catalytically activated duplication in aggregation growth 2009 Chin. Phys. B 18 3577
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
