动态隔室种群中的随机反应网络
Stochastic reaction networks in dynamic compartment populations
摘要：
从细胞器到组织尺度，生物化学过程的区室化是所有生物系统的基础。研究嘈杂的反应动力学和划分之间的相互作用的理论模型是稀疏的，通常非常具有挑战性的计算分析。最近的研究在具体的生物系统中解决这一问题方面取得了进展，但仍然缺乏一般性的方法。在这项工作中，我们提出了一个数学框架的基础上计数过程，使我们能够研究车厢人口与任意的相互作用和内部生化。我们提供了一个有效的描述的种群动力学的微分方程，捕捉人口的时刻和它们的变异性。我们展示了我们的方法的相关性，使用几个案例研究的启发，在不同尺度的生物系统。
英文摘要：
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.
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