Dto. de Matemática, FCEN, Universidad de Buenos Aires, and IMAS (UBA-CONICET), Ciudad Universitaria, Pab. I, C1428EGA, Buenos Aires, Argentina.
Dto. de Matemática, FCEN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, C1428EGA, Buenos Aires, Argentina.
J Math Biol. 2024 Jun 24;89(2):18. doi: 10.1007/s00285-024-02115-7.
We address several questions in reduced versus extended networks via the elimination or addition of intermediate complexes in the framework of chemical reaction networks with mass-action kinetics. We clarify and extend advances in the literature concerning multistationarity in this context, mainly from Feliu and Wiuf (J R Soc Interface 10:20130484, 2013), Sadeghimanesh and Feliu (Bull Math Biol 81:2428-2462, 2019), Pérez Millán and Dickenstein (SIAM J Appl Dyn Syst 17(2):1650-1682, 2018), Dickenstein et al. (Bull Math Biol 81:1527-1581, 2019). We establish general results about MESSI systems, which we use to compute the circuits of multistationarity for significant biochemical networks.
我们通过在具有质量作用动力学的化学反应网络框架中消除或添加中间复合物来解决简化网络与扩展网络中的几个问题。我们澄清并扩展了文献中关于该背景下多稳定性的进展，主要来自 Feliu 和 Wiuf（J R Soc Interface 10：20130484，2013）、Sadeghimanesh 和 Feliu（Bull Math Biol 81：2428-2462，2019）、Pérez Millán 和 Dickenstein（SIAM J Appl Dyn Syst 17（2）：1650-1682，2018）、Dickenstein 等人（Bull Math Biol 81：1527-1581，2019）。我们建立了关于 MESSI 系统的一般结果，我们使用这些结果来计算重要生化网络的多稳定性电路。
