一种排他性基因开关的分析研究
Analytical study of an exclusive genetic switch
摘要：
研究了排他性遗传开关的非平衡定态。该模型包括两个竞争物种和一个单一的结合位点，当结合到一个物种的蛋白质，导致其他物种被抑制。该模型可以被认为是两个竞争政党之间权力斗争的极小模型。精确的解决方案给出的限制消失的绑定/解绑定率和无限绑定/解绑定率。引入了一种在束缚/解束缚率为零的极限下精确的平均场论。平均场论和数值模拟结果表明，该系统具有一般的双稳性，处于对称破缺状态。一个精确的微扰的解决方案，在原则上允许的非平衡定态计算也开发和计算到第一和第二阶。
英文摘要：
The nonequilibrium stationary state of an exclusive genetic switch is considered. The model comprises two competing species and a single binding site which, when bound to by a protein of one species, causes the other species to be repressed. The model may be thought of as a minimal model of the power struggle between two competing parties. Exact solutions are given for the limits of vanishing binding/unbinding rates and infinite binding/unbinding rates. A mean field theory is introduced which is exact in the limit of vanishing binding/unbinding rates. The mean field theory and numerical simulations reveal that generically bistability occurs and the system is in a symmetry broken state. An exact perturbative solution which in principle allows the nonequilibrium stationary state to be computed is also developed and computed to first and second order.
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