Abstract:

By virtue of kinetic proofreading theory, the puzzles of selectivity and specificity common in cellar activities are successfully explained. The chemical master equation is adopted to describe stochastic processes of kinetic proofreading models with two and three middle steps. Stochastic properties around the steady state are analyzed with the linear noise approximation under various parameters. Relations between noise density and parameters are revealed with numerical simulation. The result suggest that noises propagate and escalate as reactions proceed, furthermore multiple reaction rates determine noise intensity.

Key words: kinetic proofreading, noise, stochastic kinetics, linear noise approximation, numerical simulation

摘要：

从随机过程的角度, 对生物校对动力学过程进行了理论和数值分析。通过建立主方程, 对2步和3步中间过程的动力学校对随机动力学性质进行描述, 运用线性噪音近似的方法求得平衡态噪音的解析解, 并通过数值模拟的方法讨论噪音与参数间的关系。结果表明, 噪音随中间反应的进行而扩散和放大, 同时反应速率参数对噪音强度的大小也有显著影响。

关键词: 动力学校对, 噪音, 随机动力学, 线性噪音近似, 数值模拟