論文

査読有り
2007年8月15日

Emergence of the self-similar property in gene expression dynamics

Physica A: Statistical Mechanics and its Applications
  • T. Ochiai
  • ,
  • J. C. Nacher
  • ,
  • T. Akutsu

382
2
開始ページ
739
終了ページ
752
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.physa.2007.03.036

Many theoretical models have recently been proposed to understand the structure of cellular systems composed of various types of elements (e.g., proteins, metabolites and genes) and their interactions. However, the cell is a highly dynamic system with thousands of functional elements fluctuating across temporal states. Therefore, structural analysis alone is not sufficient to reproduce the cell's observed behavior. In this article, we analyze the gene expression dynamics (i.e., how the amount of mRNA molecules in cell fluctuate in time) by using a new constructive approach, which reveals a symmetry embedded in gene expression fluctuations and characterizes the dynamical equation of gene expression (i.e., a specific stochastic differential equation). First, by using experimental data of human and yeast gene expression time series, we found a symmetry in short-time transition probability from time t to time t + 1. We call it self-similarity symmetry (i.e., the gene expression short-time fluctuations contain a repeating pattern of smaller and smaller parts that are like the whole, but different in size). Secondly, we reconstruct the global behavior of the observed distribution of gene expression (i.e., scaling-law) and the local behavior of the power-law tail of this distribution. This approach may represent a step forward toward an integrated image of the basic elements of the whole cell. © 2007.

リンク情報
DOI
https://doi.org/10.1016/j.physa.2007.03.036
ID情報
  • DOI : 10.1016/j.physa.2007.03.036
  • ISSN : 0378-4371
  • SCOPUS ID : 34250612223

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