非线性化学反应网络的精确首达时间分布 II：单分子反应与具有任意初始条件的 A + B - C 型二阶反应
Exact first passage time distribution for nonlinear chemical reaction networks II: monomolecular reactions and a A + B - C type of second-order reaction with arbitrary initial conditions
AI总结：
本文扩展了非线性化学反应网络首达时间分布的理论框架，使其适用于任意初始条件下的单分子反应与A+B-C型二阶反应，为真实生化系统提供了更通用的动力学分析工具。
摘要：
在生化反应网络中，反应的首达时间（FPT）量化了反应从初始状态首次发生所需的时间。虽然平均FPT在历史上一直作为汇总指标，但网络动力学的更全面特征包含在完整的FPT分布中。过去给出的关于FPT分布的相对不常见的理论处理仅限于线性系统，具有零阶和一阶过程。最近，我们提出了FPT分布的理论精确解，涉及双粒子碰撞的非线性系统，如A+B - C。尽管这项研究产生了宝贵的结果，但它基于Poisson分布形式的初始条件假设。这在一定程度上限制了它与真实世界生化系统的相关性，这些系统经常表现出复杂行为和非Poisson性质的初始条件。我们当前的研究扩展了先前的分析以适应任意初始条件，从而扩展了我们理论框架的适用性，并为捕获生化反应网络动力学提供了更适应的工具。
英文摘要：
In biochemical reaction networks, the first passage time (FPT) of a reaction quantifies the time it takes for the reaction to first occur, from the initial state. While the mean FPT historically served as a summary metric, a far more comprehensive characterization of the dynamics of the network is contained within the complete FPT distribution. The relatively uncommon theoretical treatments of the FPT distribution that have been given in the past have been confined to linear systems, with zero and first-order processes. Recently, we presented theoretically exact solutions for the FPT distribution, within nonlinear systems involving two-particle collisions, such as A+B - C. Although this research yielded invaluable results, it was based upon the assumption of initial conditions in the form of a Poisson distribution. This somewhat restricts its relevance to real-world biochemical systems, which frequently display intricate behaviour and initial conditions that are non-Poisson in nature. Our current study extends prior analyses to accommodate arbitrary initial conditions, thereby expanding the applicability of our theoretical framework and providing a more adaptable tool for capturing the dynamics of biochemical reaction networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
