论文标题
复杂的平衡平衡的弱可逆的聚-PL系统：多样性，鲁棒性和稳定性
Complex balanced equilibria of weakly reversible poly-PL systems: multiplicity, robustness and stability
论文作者
论文摘要
聚-PL动力学系统是动力定律函数的非负线性组合组合的动力学系统。在此贡献中，我们使用两种主要方法分析了这些动力学系统：（1）我们定义了Poly-PL系统的规范功率定律表示，（2）我们将Poly-PL系统转换为动态等效的幂律动力学系统，以保留该系统的石学计量数。这些方法使我们确定了涉及多PL系统的重要动力学性能，例如复杂平衡稳态的存在和参数化，在化学计量兼容性类别中多重复杂平衡平衡的能力，某些物种的浓度鲁棒性以及复杂平衡平衡的线性稳定性。
Poly-PL kinetic systems are kinetic systems consisting of nonnegative linear combinations of power law functions. In this contribution, we analyze these kinetic systems using two main approaches: (1) we define a canonical power law representation of a poly-PL system, and (2) we transform a poly-PL system into a dynamically equivalent power law kinetic system that preserves the stoichiometric subspace of the system. These approaches led us to establish results that concern important dynamical properties of poly-PL systems such as existence and parametrization of complex balanced steady states, capacity for multiple complex balanced equilibria in a stoichiometric compatibility class, concentration robustness of some species, and linear stability of complex balanced equilibria.
