论文标题
化学反应网络的定性动力学：使用部分热带平衡的研究
Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations
论文作者
论文摘要
我们讨论了一种用符号动力学来描述化学反应网络的定性动力学的方法。该方法可以应用于具有分离的时间尺度的质量表演反应网络，它使用部分热带平衡问题的解决方案作为符号状态的代理。通过算法发现部分热带平衡溶液。这些解决方案还提供了缓慢速度分解和模型还原所需的缩放。因此，该模型的任何痕迹都可以表示为完整模型的局部近似序列。我们说明了使用AS案例研究的方法，一种细胞周期的生化模型。
We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networks with separated timescales, uses solutions of the partial tropical equilibration problem as proxies for symbolic states. The partial tropical equilibration solutions are found algorithmically. These solutions also provide the scaling needed for slow-fast decomposition and model reduction. Any trace of the model can thus be represented as a sequence of local approximations of the full model. We illustrate the method using as case study a biochemical model of the cell cycle.
