生物化学网络的热带几何学和动力学。混合细胞周期模型的应用
Tropical geometries and dynamics of biochemical networks. Application to hybrid cell cycle models
摘要：
我们使用Litvinov-Maslov对应原理来简化和杂交生化反应网络。我们将这种方法应用到细胞周期振荡器模型。简化和杂交模型可以用作细胞周期的混合模型。我们还提出了一个实用的配方检测准平衡QE反应和准稳态QSS物种的生化模型与合理的速率函数，并使用此配方的模型简化。有趣的是，光滑模型的QE/QSS不变流形和沿着该流形的约化动力学可以分别对应于杂交的热带变种和沿着该变种的滑动模
英文摘要：
We use the Litvinov-Maslov correspondence principle to reduce and hybridize networks of biochemical reactions. We apply this method to a cell cycle oscillator model. The reduced and hybridized model can be used as a hybrid model for the cell cycle. We also propose a practical recipe for detecting quasi-equilibrium QE reactions and quasi-steady state QSS species in biochemical models with rational rate functions and use this recipe for model reduction. Interestingly, the QE/QSS invariant manifold of the smooth model and the reduced dynamics along this manifold can be put into correspondence to the tropical variety of the hybridization and to sliding modes along this variety, respectively
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