多路径下基因的转录平均水平及噪音强度.doc

多路径下基因的转录平均水平与噪音强度
摘要
基因表达及其调控是分子生物学的核心问题,是当前生命科学研究的重要分支。作为国际上研究的热门课题,它引起了生物、化学、物理、医学等领域专家的广泛关注。基因转录是基因表达的第一步,也是最为关键的一步。由于RNA观测技术的发展,比如对单个活细胞中RNA合成的实时观测,生物学家们发现基因是以随机的、不连续的、爆发的方式转录的。基因转录的随机性直接导致了RNA与蛋白质的不均匀、不规则分布。近年来,许多科学家对基因表达的随机性产生了浓厚的兴趣,并运用数学方法进行了深入的研究。通过研究,当我们确定了表达式之后,就能更科学地表达基因表达的随机性
本课题的重点是理解微分方程和随机分析的方法,建立随机基因表达的数学模型,得到了由模型参数确定的mRNA或蛋白质数量的均值、噪声、噪声强度、及概率分布函数的解析表达式。
关键词:基因转录,噪音,噪音强度,mRNA
Abstract:
gene expression and regulation is the core issue of molecular biology, is the most important branch of life science research. As a hot topic of research in the world, it has attracted extensive attention in biology, chemistry, physics, expert medical fields. Gene transcription is the first step of gene expression, but also the most critical step. Due to the development of RNA observation techniques, such as a single live real-time observation synthesis in RNA cells, biologists found that the gene is in a random, discontinuous, burst mode of transcription. Random gene transcription and protein RNA directly leads to the uneven, irregular distribution. In recent years, many scientists of random gene expression had a strong interest in, and studied by using mathematical method. Through the study, when we determine the expression, can more scientific expression of random gene expression
The focus of this project is to understand the method of differential equation and stochasti