Intrinsic noise in genetic regulation networks

• Main Authors: Tien-Shen Chung, 鍾天伸
• Other Authors: Ming-Chang Huang
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/23227796124027063488

碩士 === 中原大學 === 應用物理研究所 === 95 === In this thesis, we investigate the intrinsic noise in transcription and translation level of genetic regulation networks without environmental conditions. The genetic regulation networks can be mathematically described by rate equations. To obtain the stochastic features of the system, the macroscopic rate equation is first rewritten as the stochastic master equation, and then expansion method is used to obtain the linear noise Fokker-Planck equation. We use the linear noise Fokker-Planck equation to analyze the stochastic fluctuations in the regulation networks of single gene and toggle switch. The noise strength is measured by Fano Factor which is defined as variance over mean, and the correlation of noise is also analyzed. The effect of regulation strength on the characteristics of noises and discussed.