arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1205.6512q-bio.GNphysics.bio-phphysics.data-anq-bio.QM
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基因组大小和Benford分布

Genome Sizes and the Benford Distribution

James L. Friar, Terrance Goldman, Juan Pérez-Mercader

摘要:

从生命的3个领域的基因组编码的开放阅读框(ORF)的数量的数据显示了一些显着的一般特征,包括原核生物和真核生物之间的本质差异,与ORF的数量线性增长的总基因组大小为前者,但后者仅为几何学。假设基因组的(蛋白质)编码部分和非编码部分必须具有不同的动力学,并且非编码部分必须由各种(未指定的)概率分布函数控制,我们能够预测真核生物的ORF数量遵循Benford分布并具有特定的对数形式。使用2010年初提供给我们的1000多个基因组的数据,我们发现这些数据在几个数量级上非常适合,在原核生物数据的线性范围内,以及真核生物数据的完全非线性形式。在它们的重叠区域,显着特征在统计上是一致的,这使我们能够:将原核生物和真核生物之间的差异解释为较大真核生物所需生物功能需求增加的表现,估计一些最小的基因组大小,并预测原核生物的最大基因组大小为8-12兆碱基对。这些结果自然允许最大熵的数学解释,因此,最有效的信息传输。

英文摘要:

Data on the number of Open Reading Frames (ORFs) coded by genomes from the 3 domains of Life show some notable general features including essential differences between the Prokaryotes and Eukaryotes, with the number of ORFs growing linearly with total genome size for the former, but only logarithmically for the latter. Assuming that the (protein) coding and non-coding fractions of the genome must have different dynamics and that the non-coding fraction must be controlled by a variety of (unspecified) probability distribution functions, we are able to predict that the number of ORFs for Eukaryotes follows a Benford distribution and has a specific logarithmic form. Using the data for 1000+ genomes available to us in early 2010, we find excellent fits to the data over several orders of magnitude, in the linear regime for the Prokaryote data, and the full non-linear form for the Eukaryote data. In their region of overlap the salient features are statistically congruent, which allows us to: interpret the difference between Prokaryotes and Eukaryotes as the manifestation of the increased demand in the biological functions required for the larger Eukaryotes, estimate some minimal genome sizes, and predict a maximal Prokaryote genome size on the order of 8-12 megabasepairs. These results naturally allow a mathematical interpretation in terms of maximal entropy and, therefore, most efficient information transmission.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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