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具有多个基因拷贝的自我抑制系统中的基因表达。

Gene expression in self-repressing system with multiple gene copies.

机构信息

Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland.

出版信息

Bull Math Biol. 2013 Feb;75(2):317-30. doi: 10.1007/s11538-013-9808-7. Epub 2013 Jan 25.

DOI:10.1007/s11538-013-9808-7
PMID:23354928
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3567334/
Abstract

We analyze a simple model of a self-repressing system with multiple gene copies. Protein molecules may bound to DNA promoters and block their own transcription. We derive analytical expressions for the variance of the number of protein molecules in the stationary state in the self-consistent mean-field approximation. We show that the Fano factor (the variance divided by the mean value) is bigger for the one-gene case than for two gene copies and the difference decreases to zero as frequencies of binding and unbinding increase to infinity.

摘要

我们分析了一个具有多个基因拷贝的自我抑制系统的简单模型。蛋白质分子可能与 DNA 启动子结合并阻断其自身的转录。我们在自洽平均场近似下推导出了处于定态时蛋白质分子数量的方差的解析表达式。我们表明，单基因情况下的福诺因子（方差除以平均值）大于两个基因拷贝的情况，并且随着结合和解离频率增加到无穷大，差异减小到零。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/2a150410d668/11538_2013_9808_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/555e171c4736/11538_2013_9808_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/531da91ef0a5/11538_2013_9808_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/1ac89ef557c6/11538_2013_9808_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/2a150410d668/11538_2013_9808_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/555e171c4736/11538_2013_9808_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/531da91ef0a5/11538_2013_9808_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/1ac89ef557c6/11538_2013_9808_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/42a1/3567334/2a150410d668/11538_2013_9808_Fig4_HTML.jpg

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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):062902. doi: 10.1103/PhysRevE.83.062902. Epub 2011 Jun 27.
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