Stochasticity in the dynamics of small reacting systems requires discrete-probabilistic models of reaction kinetics instead of traditional continuous-deterministic ones. The master probability equation is a complete model of randomly evolving molecular populations. Because of its ambitious character, the master equation remained unsolved for all but the simplest of molecular interaction networks. With the first solution of chemical master equations, a wide range of experimental observations of small-system interactions may be mathematically conceptualized.

中文翻译：

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非线性随机反应网络的化学主方程解。

小型反应系统动力学中的随机性需要反应动力学的离散概率模型，而不是传统的连续确定性模型。主概率方程是随机演化的分子群的完整模型。由于其雄心勃勃的特性，除了最简单的分子相互作用网络之外，所有主方程仍未解决。有了化学主方程的第一个解，小系统相互作用的广泛实验观察可以在数学上概念化。