ROLE OF FEEDBACK INHIBITION IN STABILIZING THE CLASSICAL OPERON
ROLE OF FEEDBACK INHIBITION IN STABILIZING THE CLASSICAL OPERON
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DOI：
10.1016/0022-5193(82)90098-4
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发表时间：
1982-01-01
影响因子：
2
通讯作者：
MARR, AG
中科院分区：
文献类型：
--
作者：
BLISS, RD;PAINTER, PR;MARR, AG
对Goodwin方程进行了修正，使其能描述基因调控与功能酶出现、蛋白质合成终产物消耗和酶活性反馈抑制之间的时滞。修正方程的稳定性是由附录中概述的方法确定的，该方法处理了一类具有时滞的负反馈系统。大肠杆菌Try操纵子的实验数据估计的参数表明，操纵子变得不稳定，失去正常的反馈抑制。修正后的方程的数值解表明，一个例子与反馈操纵子的部分损失可以有一个周期的振荡小于细胞的产生时间，和数值解示出的定性协议与实验显示的Try操纵子表达式的振荡。
The Goodwin equations for a repressible operon are modified to describe a time lag between genetic regulation and appearance of functional enzyme, consumption of endproduct in protein synthesis and feedback inhibition of enzyme activity. The stability of the modified equations is determined by a method outlined in the appendix which treats a class of negative feedback systems with time delays. Parameters estimated from experimental data on the Try operon of Escherichia coli show that the operon becomes unstable as normal feedback inhibition is lost. Numerical solution of the modified equations shows that an example with a partial loss of feedback inhibiton can have a period of oscillation less than the cell generation time, and the numerical solutions are shown to be in qualitative agreement with experiments showing oscillations in Try operon expression.