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导数在高中数学中的应用初探
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作者 孟祥亚 杨永祥 《数理化解题研究(高中版)》 2003年第4期15-16,共2页
关键词 曲线 函数 极值 议程解 导数 高中数学
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A detailed procedure for CRISPR/Cas9-mediated gene editing in Arabidopsis thaliana 被引量:18
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作者 Wenshan Liu Xiaohong Zhu +4 位作者 Mingguang Lei Qingyou Xia Jose Ramon Botella Jian-Kang Zhu Yanfei Mao 《Science Bulletin》 SCIE EI CAS CSCD 2015年第15期1332-1347,共16页
The newly developed CRISPR(Clustered Regularly Interspaced Short Palindromic Repeats)/Cas(CRISPR-associated) system has emerged as an efficient tool for genome-editing, providing an alternative to classical mutagenesi... The newly developed CRISPR(Clustered Regularly Interspaced Short Palindromic Repeats)/Cas(CRISPR-associated) system has emerged as an efficient tool for genome-editing, providing an alternative to classical mutagenesis and transgenic methods to study gene function and improve crop traits. CRISPR/Cas facilitates targeted gene editing through RNA-guided DNA cleavage followed by cellular DNA repair mechanisms that introduce sequence changes at the site of cleavage. Here we describe a detailed procedure for our previously developed and highly efficient CRISPR/Cas9 method that allows the generation of heritable-targeted gene mutations andcorrections in Arabidopsis. This protocol describes the strategies and steps for the selection of targets, design of single-guide RNA(sg RNA), vector construction and analysis of transgenic lines. We also offer a method to target two loci simultaneously using vectors containing two different sg RNAs. The principles described in this protocol can be applied to other plant species to generate stably inherited DNA modifications. 展开更多
关键词 CRISPR/Cas9 Targeted gene editing Genome engineering Arabidopsis thaliana
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DETERMINANT SOLUTIONS OF THE NONAUTONOMOUS DISCRETE TODA EQUATION ASSOCIATED WITH THE DEAUTONOMIZED DISCRETE KP HIERARCHY
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作者 Satoshi TSUJIMOTO 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2010年第1期153-176,共24页
It is shown that the nonautonomous discrete Toda equation and its Backlund transformation can be derived from the reduction of the hierarchy of the discrete KP equation and the discrete two-dimensional Toda equation. ... It is shown that the nonautonomous discrete Toda equation and its Backlund transformation can be derived from the reduction of the hierarchy of the discrete KP equation and the discrete two-dimensional Toda equation. Some explicit examples of the determinant solutions of the nonautonomous discrete Toda equation including the Askey-Wilson polynomial are presented. Finally we discuss the relationship between the nonautonomous discrete Toda system and the nonautonomous discrete Lotka- Volterra equation. 展开更多
关键词 Askey-Wilson polynomial Darboux transformation discrete KP hierarchy nonautonomous discrete Lotka-Volterra equation nonautonomous discrete Toda equation.
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