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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-12-01
摘要
隨機 chemical reaction 網絡s (CRNs) are 複雜系統s that combine the features of concurrent transformation of multiple variables in each elementary reaction event and 非線性 relations between states and their rates of change. Most general results concerning CRNs are limited to restricted cases where a topological characteristic known as deficiency takes a value 0 or 1, implying uniqueness and positivity of steady states and surprising, low-資訊 forms for their associated probability distributions. Here we derive equations of motion for fluctuation moments at all orders for 隨機 CRNs at general deficiency. We show, for the standard base case of proportional sampling without replacement (which underlies the mass-action rate law), that the generator of the 隨機 process acts on the hierarchy of factorial moments
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