生化动力学图中循环完成（通量）的随机性。
Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams.
作者信息
Hill T L, Chen Y D
出版信息
Proc Natl Acad Sci U S A. 1975 Apr;72(4):1291-5. doi: 10.1073/pnas.72.4.1291.
Over a long time period, the rate constants for cycle completions (one-way fluxes) in steady-state biochemical diagrams can be expressed explicitly in terms of the elementary rate constants for transitions between states of the diagram. These cycle rate constants determine the mean one-way fluxes in the diagram and also fluctuations about the means. These properties are confirmed by Monte Carlo computer simulations on special cases. Two other topics are considered briefly: the effect of the starting state or states on the numbers of cycle completions in computer simulation runs; and the more detailed stochastic approach required if individual cycle completions are to be followed (i.e., if the "long time" restriction is removed).
在很长一段时间内，稳态生化图中循环完成（单向通量）的速率常数可以根据图中状态之间转换的基本速率常数明确表示。这些循环速率常数决定了图中的平均单向通量以及围绕平均值的波动。这些特性在特殊情况下通过蒙特卡罗计算机模拟得到了证实。还简要考虑了另外两个主题：计算机模拟运行中起始状态对循环完成次数的影响；以及如果要跟踪单个循环完成情况（即如果去除“长时间”限制）所需的更详细的随机方法。
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