雙穩態基因調控網路之接通率

Switch rates for bi-stable regulation networks of Gene Expression

許鴻源(Hong-Yuan Xu)

指導教授 ： 黃敏章

中原大學/理學院/物理研究所/碩士(2012年)

https://doi.org/10.6840/cycu201200571

摘要

基因調控是生物一項重要且十分複雜的過程，因為它取決很多的因素，而本篇內容著重於基因調控網路其基因表現過程內雜訊的討論。基因調控網路中轉錄因子的生成、解離可以用反應速率方程式來描述，在此我們藉著一個雙穩態的模型，建構出其所對應的兩種隨機微分方程式Langevin equation 及Fokker-Plank equation。搭配這兩個隨機微分方程並用數值模擬的方式，我們計算系統內在雜訊對穩態間跳躍所需的平均時間與接通率，並進行進一步的討論、分析。

關鍵字

基因調控 ； 接通率

並列摘要

Gene regulation is a very complicated and important biological process for which, there are many factors involved. In this thesis, we investigate the effect of intrinsic noise in the process of genetic regulation. The synthesis and dissociation of Transcription Factors can be mathematically described by rate equation. To include the effect, we combine the two stochastic equation, Langevin equation and Fokker-Plank equation, in a bi-stable regulation model with two stochastic differential equations, we can calculate the mean first-passage time and switch rate between bi-stable states numerically. Further analysis of the results are also given.

並列關鍵字

Gene Regulation ； Switch rates

參考文獻

[2]M.Ptashne,“A Genetic Switch: Phage λ and Higher

Cambrdge, MA, 1992)

[3]Paul Smolen, D.A. Baxter and J.H. Byrne, Am. J. Physiol.

274, C531 (1998)

Flannery, Numerical Recipes in Fortran, Cambridge