论文标题
反应网络的伪装的复曲面和仿射等效性
The disguised toric locus and affine equivalence of reaction networks
论文作者
论文摘要
在质量动力学的假设下，可以通过几个不同的反应网络和/或参数诱导动力系统。因此，质量表演系统可以表现出复杂的平衡动力学，而不会对速率常数弱可逆或令人满意。这样的系统称为伪装的感谢您的动力学系统。我们表明，在网络的可逆仿射转换下保存了产生此类系统的参数。我们还考虑了仿射转化下任意质量攻击系统的动力学，并表明它们的阳性稳态集合之间存在两者的活力，尽管它们的定性动力学可能有很大差异。
Under the assumption of mass-action kinetics, a dynamical system may be induced by several different reaction networks and/or parameters. It is therefore possible for a mass-action system to exhibit complex-balancing dynamics without being weakly reversible or satisfying toric constraints on the rate constants; such systems are called disguised toric dynamical systems. We show that the parameters that give rise to such systems are preserved under invertible affine transformations of the network. We also consider the dynamics of arbitrary mass-action systems under affine transformations, and show that there is a bijection between their sets of positive steady states, although their qualitative dynamics can differ substantially.
