Similarity of regulation between eukaryotes and prokaryote 1.Principles are the same: • signals (信号), • activators and repressors (激活蛋白和阻 遏蛋白) • recruitment and allostery, cooperative binding (招募，异构和协同结合) 2. The gene expression steps subjected to regulation are similar, and the initiation of transcription is the most pervasively regulated step

TOPIC 1 Principles of Transcriptional Regulation [watch the animation] TOPIC 2 Regulation of Transcription Initiation: Examples from Bacteria (Lac operon, alternative s factors, NtrC,MerR, Gal rep, araBAD operon) TOPIC 3 Examples of Gene Regulation after Transcription Initiation (Trp operon) TOPIC 4 The Case of Phage λ: Layers of Regulation

工程实践中有多种振动问题，如桥梁或建 筑物的振动，机械机件、飞机机翼的振 动，工程实践中有多种振动问题，如桥 梁或建筑物的振动，机械机件、飞机机 翼的振动，及一些稳定性分析和相关分 析可转化为求矩阵特征值与特征向量的 问题

◼ What are the main challenges of translation and how do organisms overcome them? ◼ What is the organization of nucleotide sequence information in mRNA? ◼ What is the structure of tRNAs, and how do aminoacyl tRNA synthetases recognize and attach the correct amino acids to each tRNA? ◼ How does the ribosome orchestrate the translation process?

Most of the eukaryotic genes are mosaic (嵌合体), consisting of intervening sequences separating the coding sequence ◼ Exons (外显子): the coding sequences ◼ Introns (内含子) : the intervening sequences ◼ RNA splicing: the process by which introns are removed from the pre￾mRNA. ◼ Alternative splicing (可变剪接): some pre-mRNAs can be spliced in more than one way , generating alternative mRNAs. 60% of the human genes are spliced in this manner

一个化学反应系统中提出的刚性问题的例子 A,B,C是三个化学样本, Robertson反应如下:

Although DNA replication, repair, homologous recombination occur with high fidelity to ensure the genome identity between generations, there are genetic processes that rearrange DNA sequences and thus lead to a more dynamic genome structure Two classes of genetic recombination for DNA rearrangement: • Conservative site-specific recombination (CSSR): recombination between two defined sequence elements • Transpositional recombination (Transposition): recombination between specific sequences and nonspecific DNA sites

◼ All DNA is recombinant DNA. ◼ Genetic exchange works constantly to blend and rearrange chromosomes, most obviously during meiosis, when homologous chromosomes pair prior to the first nuclear division. ◼ During this pairing, genetic exchange between the chromosomes occurs. This exchange, classically termed crossing over, is one of the results of homologous recombination

Romberg求积方法是在积分区间逐次分 半的过程中利用外推法产生的一种数值积 分方法,当被积函数的光滑性条件满足时, 可以得到较精确的积分近似法