An Efficient Characterization of Complex-Balanced, Detailed-Balanced, and Weakly Reversible Systems
An Efficient Characterization of Complex-Balanced, Detailed-Balanced, and Weakly Reversible Systems
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DOI：
10.1137/19m1244494
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
G. Craciun;Jiaxin Jin;Polly Y. Yu
中科院分区：
文献类型：
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作者：
G. Craciun;Jiaxin Jin;Polly Y. Yu
生物学、化学、物理学和工程学中的模型通常是由反应网络产生的多项式或幂律常微分方程系统。这样的动力系统可以由许多不同的反应网络生成。另一方面，具有特殊性质（如可逆性或弱可逆性）的网络被认为或被证明会产生具有特殊性质的动力系统：正稳态的存在性，持久性，持久性，以及（对于精心选择的参数）复杂平衡或详细平衡。后两个与热力学平衡有关，因此正稳态是唯一和稳定的。我们描述了多项式或幂律动力系统，可以得到复杂的平衡，详细平衡，弱可逆，可逆的质量作用系统的计算效率的表征。
Very often, models in biology, chemistry, physics, and engineering are systems of polynomial or power-law ordinary differential equations, arising from a reaction network. Such dynamical systems can be generated by many different reaction networks. On the other hand, networks with special properties (such as reversibility or weak reversibility) are known or conjectured to give rise to dynamical systems that have special properties: existence of positive steady states, persistence, permanence, and (for well-chosen parameters) complex balancing or detailed balancing. These last two are related to thermodynamic equilibrium, and therefore the positive steady states are unique and stable. We describe a computationally efficient characterization of polynomial or power-law dynamical systems that can be obtained as complex-balanced, detailed-balanced, weakly reversible, and reversible mass-action systems.