Self-regulating gene: An exact solution

Self-regulating gene: An exact solution
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DOI:
10.1103/physreve.72.051907
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发表时间:
2005-11-01
期刊:
影响因子:
2.4
通讯作者:
Wolynes, PG
Wolynes, PG
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Hornos, JEM;Schultz, D;Wolynes, PG

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提出了控制由自生蛋白质组气氛调节的基因行为的随机方程的精确稳态解。该解决方案取决于测量 DNA-蛋白质解离和蛋白质降解相对速率的绝热参数。稳态解揭示了与基于质量作用平衡定律的常用阿克斯近似的偏差,允许在慢速结合和解除结合速率的“非绝热”极限内进行反合作行为。结合和解离事件产生的噪声在蛋白质合成和降解的散粒噪声中占主导地位,直至绝热参数达到相当高的值。
An exact steady-state solution of the stochastic equations governing the behavior of a gene regulated by a self-generated proteomic atmosphere is presented. The solutions depend on an adiabaticity parameter measuring the relative rate of DNA-protein unbinding and protein degradation. The steady-state solution reveals deviations from the commonly used Ackers approximation based on the equilibrium law of mass action, allowing anticooperative behavior in the "nonadiabatic" limit of slow binding and unbinding rates. Noise from binding and unbinding events dominates the shot noise of protein synthesis and degradation up to quite high values of the adiabaticity parameter.