Equipe Contraintes, Inria Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153, Le Chesnay Cedex, France,
Bull Math Biol. 2013 Nov;75(11):2289-303. doi: 10.1007/s11538-013-9893-7. Epub 2013 Sep 19.
Biochemical reaction networks grow bigger and bigger, fed by the high-throughput data provided by biologists and bred in open repositories of models allowing merging and evolution. Nevertheless, since the available data is still very far from permitting the identification of the increasing number of kinetic parameters of such models, the necessity of structural analyses for describing the dynamics of chemical networks appears stronger every day. Using the structural information, notably from the stoichiometric matrix, of a biochemical reaction system, we state a more strict version of the famous Thomas' necessary condition for multistationarity. In particular, the obvious cases where Thomas' condition was trivially satisfied, mutual inhibition due to a multimolecular reaction and mutual activation due to a reversible reaction, can now easily be ruled out. This more strict condition shall not be seen as some version of Thomas' circuit functionality for the continuous case but rather as related and complementary to the whole domain of the structural analysis of (bio)chemical reaction systems, as pioneered by the chemical reaction network theory.
生化反应网络越来越大，由生物学家提供的高通量数据喂养，并在允许合并和进化的模型开放存储库中繁殖。然而，由于可用数据仍然远远不能确定这些模型的越来越多的动力学参数，因此每天都更加需要结构分析来描述化学网络的动态。我们利用生化反应系统的结构信息，特别是从化学计量矩阵中，陈述了著名的托马斯多定态性必要条件的更严格版本。特别是，托马斯条件明显是平凡满足的情况，如由于多分子反应引起的相互抑制和由于可逆反应引起的相互激活，现在可以很容易地排除。这个更严格的条件不应被视为连续情况下托马斯电路功能的某种版本，而应被视为与化学计量矩阵分析（生物）化学反应系统的整个领域相关和互补的，正如化学反应网络理论所开创的那样。
