化学反应网络空间分室模型的标度极限
Scaling limits of spatial compartment models for chemical reaction networks
摘要：
本文利用分室模型研究了空间非均匀化学反应网络中分子的快速空间运动对化学物种动力学的影响。我们考虑的反应网络是单尺度或多尺度的。当反应动力学在单一尺度上时，快速的空间移动具有在所有物种的分布上平均反应的简单效果。当反应动力学是在多个尺度上，我们表明，分子的空间运动有不同的影响，这取决于每种类型的物种的运动是快还是慢于这种分子类型的有效反应动力学。我们得到的结果时，系统是没有和保守量，这是线性组合的物种只在较慢的时间尺度上演变。
英文摘要：
We study the effects of fast spatial movement of molecules on the dynamics of chemical species in a spatially heterogeneous chemical reaction network using a compartment model. The reaction networks we consider are either single- or multi-scale. When reaction dynamics is on a single-scale, fast spatial movement has a simple effect of averaging reactions over the distribution of all the species. When reaction dynamics is on multiple scales, we show that spatial movement of molecules has different effects depending on whether the movement of each type of species is faster or slower than the effective reaction dynamics on this molecular type. We obtain results for both when the system is without and with conserved quantities, which are linear combinations of species evolving only on the slower time scale.
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