论文标题
详细的平衡=复杂的平衡 +周期平衡。反应网络和马尔可夫链的图理论证明
Detailed balance = complex balance + cycle balance. A graph-theoretic proof for reaction networks and Markov chains
论文作者
论文摘要
我们进一步阐明了可逆化学反应网络的详细平衡和复杂平衡平衡之间的关系。我们的结果适用于任意动力学以及边界平衡。详细的平衡，复杂的平衡，“正式平衡”和“周期平衡”的新概念都是根据基础图来定义的。这一事实允许基本的图理论（非代数）证明先前结果（详细的平衡=复杂的平衡 +正式平衡），我们的主要结果（详细的平衡=复杂的平衡 +循环平衡），以及连续时间马尔可夫链的相应结果。
We further clarify the relation between detailed-balanced and complex-balanced equilibria of reversible chemical reaction networks. Our results hold for arbitrary kinetics and also for boundary equilibria. Detailed balance, complex balance, "formal balance", and the new notion of "cycle balance" are all defined in terms of the underlying graph. This fact allows elementary graph-theoretic (non-algebraic) proofs of a previous result (detailed balance = complex balance + formal balance), our main result (detailed balance = complex balance + cycle balance), and a corresponding result in the setting of continuous-time Markov chains.
