论文标题
动态室种群中的随机反应网络
Stochastic reaction networks in dynamic compartment populations
论文作者
论文摘要
生化过程的分室化是从细胞器到组织量表的所有生物系统的基础。研究嘈杂的反应动力学和隔室化之间相互作用的理论模型很少，并且在计算上分析通常非常具有挑战性。最近的研究已经取得了进展，以解决混凝土生物系统的背景下解决这个问题，但仍然缺乏一般方法。在这项工作中，我们提出了一个基于计数过程的数学框架，该框架使我们能够以任意相互作用和内部生物化学研究隔室种群。我们在捕获人群及其变异性的微分方程方面提供了对人口动态的有效描述。我们使用以不同尺度的生物系统启发的几个案例研究来证明我们的方法的相关性。
Compartmentalization of biochemical processes underlies all biological systems, from the organelle to the tissue scale. Theoretical models to study the interplay between noisy reaction dynamics and compartmentalization are sparse, and typically very challenging to analyze computationally. Recent studies have made progress towards addressing this problem in the context of concrete biological systems but general approaches remain lacking. In this work we propose a mathematical framework based on counting processes that allows us to study compartment populations with arbitrary interactions and internal biochemistry. We provide an efficient description of the population dynamics in terms of differential equations which capture moments of the population and their variability. We demonstrate the relevance of our approach using several case studies inspired by biological systems at different scales.
