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Interacting enzyme systems at steady state: location of the phase transition in approximations of the mean field type.

机译:稳定状态下的相互作用酶系统:相变的位置近似为平均场类型。

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摘要

We consider a phase transition "loop," obtained from a mean field type of approximate treatment of a closed steady-state Ising system. Where is the cut (stable path) across the loop located? The general procedure, in answering this question, is to pass to an open version of the same system and use the cut that appears automatically in this case (no loop is possible in an open system). This is equivalent to finding the point at which the two phases have equal total probability in the open system. It is shown here that this procedure, when applied to a system of two-state enzyme molecules, is formally equivalent to well-known thermodynamic methods (Maxwell's theorem, etc.). These can be applied directly to the closed system without considering the open system explicitly. However, for enzyme molecules with more than two states, the "thermodynamic" method generally fails and one must fall back on the open system procedure mentioned above. Practical implementation of this procedure is not easy.
机译:我们考虑一个相变“环”,该环是从闭合稳态Ising系统的近似处理的平均场类型获得的。循环中的切口(稳定路径)在哪里?回答此问题的一般步骤是传递到同一系统的开放版本,并使用在这种情况下自动显示的剪切(在开放系统中不可能出现循环)。这等效于在开放系统中找到两个阶段具有相等总概率的点。在此表明,当将该方法应用于二态酶分子系统时,在形式上等同于众所周知的热力学方法(麦克斯韦定理等)。这些可以直接应用于封闭系统,而无需明确考虑开放系统。但是,对于具有两种以上状态的酶分子,“热力学”方法通常会失败,并且必须依靠上述开放系统方法。要实际执行此过程并不容易。

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