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压缩感知邻域中的带限制性等距常数(英文)
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作者 章瑞 李松 《数学进展》 CSCD 北大核心 2018年第6期801-812,共12页
众所周知,带限制性等距常数是压缩感知领域中的核心概念.在压缩感知理论发展的十几年历史中,几乎所有的重要理论结果都与这个概念密切相关.此文主要是总结近十余年来带限制性等距常数的若干重要结果,特别是最佳上界的发现.我们首先表明... 众所周知,带限制性等距常数是压缩感知领域中的核心概念.在压缩感知理论发展的十几年历史中,几乎所有的重要理论结果都与这个概念密切相关.此文主要是总结近十余年来带限制性等距常数的若干重要结果,特别是最佳上界的发现.我们首先表明许多具有最少行数的随机矩阵满足这个性质,而一些确定性矩阵也满足这个性质.但是与随机矩阵相比,确定性矩阵的行数要明显多.其次,我们给出了刻画l_1优化模型范数最小解与最稀疏解等价性的最佳带限制性等距常数,对于l_p(0<p <1)优化模型也得到了类似结果.最后,我们延拓这些结果到低秩矩阵恢复以及在字典表示下具有稀疏信号恢复的情形. 展开更多
关键词 压缩感知 限制性等距常数 l1优化 lp优化
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High-level expression of foreign genes via multiple joined operons and a new concept regarding the restricted constant of total amount of plasmid DNA per Escherichia coli cell
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作者 陈伟京 洪梅 +1 位作者 李丹 卢圣栋 《Chinese Medical Journal》 SCIE CAS CSCD 2002年第12期1785-1789,145-146,共5页
OBJECTIVE: To examine the feasibility of linking operons in tandem to enhance expression of heterologous genes in Escherichia coli (E. coli) and clarify the potential control mechanism of the total plasmid DNA amount ... OBJECTIVE: To examine the feasibility of linking operons in tandem to enhance expression of heterologous genes in Escherichia coli (E. coli) and clarify the potential control mechanism of the total plasmid DNA amount in each host cell. METHODS: Two series of expression plasmids, CW11 and CW12, containing 1 to 4 and 1 to 3 heterologous gene operon(s) respectively, were constructed. The molecular size of the CW11 series varied from 5.47 kb to 12.26 kb in 2.25 kb increments. The CW12 series varied from 5.40 kb to 9.72 kb in 2.16 kb increments. The expression level of desired protein was assayed by SDS-PAGE and laser density scanning. Plasmid copy number was determined by incorporation with (3)H-thymidine ((3)H-TdR). RESULTS: No influence of the tandem-joined operons on host growth and plasmid stability was observed. Upon induction, the desired protein accumulations in the CW11 series were 44.9% +/- 3.9%, 51.3% +/- 4.1%, 54.8% +/- 3.3% and 58.2% +/- 3.4% of total cell protein. In the CW12 series, the yields were 32.2% +/- 5.0%, 42.8% +/- 4.1% and 46.9% +/- 4.0% of total cell protein. As size increased, the plasmid copy number decreased, but target gene dosage increased significantly (P 0.05) and restricted to some extent. CONCLUSIONS: Increasing the target gene dosage by tandem linking of operons may enhance the expression level of a desired protein. Although the size (kb) and the copy number of each plasmid are negatively interrelated, for certain plasmids in each series, their total DNA amount per cell seems to be a restricted constant for specific E. coli strains under identical incubation condition. 展开更多
关键词 OPERON DNA Escherichia coli Gene Dosage Plasmids Research Support Non-U.S. Gov't
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