Sensitivity of the power-law exponent in gene expression distribution to mRNA decay rate
Sensitivity of the power-law exponent in gene expression distribution to mRNA decay rate
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DOI：
10.1016/j.physleta.2006.07.076
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发表时间：
2006-12-18
影响因子：
2.6
通讯作者：
Akutsu, T.
中科院分区：
文献类型：
--
作者：
Nacher, J. C.;Akutsu, T.
mRNA丰度（基因表达）的大规模采集技术为更好地理解许多复杂的生物过程提供了新的机会。最近，据报道，在几种生物体中观察到的基因表达数据显着偏离泊松分布，并遵循幂律或厚尾分布。在这里，我们表明，一个简单的随机模型的基因表达与内在和外在的噪声推导出平稳的幂律分布使用Stratonovich演算。此外，我们将幂律指数的实验测量值与mRNA衰减的值联系起来。最后，我们将结果与在Ito解释中使用随机方程的其他模型进行比较。(c)2006 Elsevier B.V.保留所有权利。
Large-scale acquisition technologies in mRNA abundance (gene expression) have provided new opportunities to better understand many complex biological processes. Lately, it has been reported that the observed gene expression data in several organisms significantly deviates from a Poisson distribution and follows a power-law or fat-tailed distribution. Here, we show that a simple stochastic model of gene expression with intrinsic and extrinsic noise derives the stationary power-law distribution using the Stratonovich calculus. Furthermore, we connect the experimental measure of the power-law exponent with the value of the mRNA decay. Finally, we compare the results with other models where stochastic equations were used within the Ito interpretation. (c) 2006 Elsevier B.V. All rights reserved.