Vertex results for the robust analysis of uncertain biochemical systems.
Vertex results for the robust analysis of uncertain biochemical systems.
复制标题
用于对不确定生化系统进行稳健分析的 Vertex 结果。
DOI：
10.1007/s00285-022-01799-z
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发表时间：
2022-09-19
影响因子：
1.9
通讯作者：
中科院分区：
文献类型：
--
作者：
我们考虑在稳定状态周围存在输入扰动（恒定或周期性）的情况下评估不确定生化系统的敏感性的问题。特别是，我们提出了对具有假设在超矩形中取值的不确定参数的系统进行鲁棒敏感性分析的方法。我们突出显示顶点结果，这允许我们通过简单地检查超矩形顶点处的所有参数选择是否满足某个属性来检查超矩形中的所有参数选择是否满足该属性。我们证明，对于一大类系统，包括具有质量作用动力学的（生物）化学反应网络，系统雅可比行列式具有完全多重仿射结构（即，雅可比矩阵的所有次要都是不确定参数的多重仿射函数），可以利用它来获得多个顶点结果。我们考虑不同的问题：鲁棒非奇异性；稳态的鲁棒稳定性；在持续扰动的情况下进行稳健的稳态敏感性分析；在存在周期性扰动的情况下进行稳健的频率响应灵敏度分析；和稳健的适应性分析。然后应用所发展的理论来深入了解不确定生化系统的一些例子，包括非相干前馈环路、相干前馈环路、Brusselator 振荡器和 Goldbeter 振荡器。
We consider the problem of assessing the sensitivity of uncertain biochemical systems in the presence of input perturbations (either constant or periodic) around a stable steady state. In particular, we propose approaches for the robust sensitivity analysis of systems with uncertain parameters assumed to take values in a hyper-rectangle. We highlight vertex results, which allow us to check whether a property is satisfied for all parameter choices in the hyper-rectangle by simply checking whether it is satisfied for all parameter choices at the vertices of the hyper-rectangle. We show that, for a vast class of systems, including (bio)chemical reaction networks with mass-action kinetics, the system Jacobian has a totally multiaffine structure (namely, all minors of the Jacobian matrix are multiaffine functions of the uncertain parameters), which can be exploited to obtain several vertex results. We consider different problems: robust non-singularity; robust stability of the steady-state; robust steady-state sensitivity analysis, in the case of constant perturbations; robust frequency-response sensitivity analysis, in the presence of periodic perturbations; and robust adaptation analysis. The developed theory is then applied to gain insight into some examples of uncertain biochemical systems, including the incoherent feed-forward loop, the coherent feed-forward loop, the Brusselator oscillator and the Goldbeter oscillator.
影响因子：
4.3
作者：
Steuer R;Waldherr S;Sourjik V;Kollmann M
通讯作者：
Kollmann M
影响因子：
3
作者：
Ma L;Iglesias PA
通讯作者：
Iglesias PA