Otero-Muras Irene, Banga Julio R, Alonso Antonio A
Process Engineering Group, IIM-CSIC, Spanish Council for Scientific Research, Eduardo Cabello 6, 36208 Vigo, Spain.
Biotechnol Prog. 2009 May-Jun;25(3):619-31. doi: 10.1002/btpr.112.
In this work, a novel algorithmic approach to detect multiplicity of steady states in enzymatic reaction networks is presented. The method exploits the structural properties of networks derived from the Chemical Reaction Network Theory. In first instance, the space of parameters is divided in different regions according to the qualitative behavior induced by the parameters in the long term dynamics of the network. Once the regions are identified, a condition for the appearance of multiplicities is checked in the different regions by solving a given optimization problem. In this way, the method allows the characterization of the whole parameter space of biochemical networks in terms of the appearance or not of multistability. The approach is illustrated through a well-known case of enzymatic catalysis with substrate inhibition.
在这项工作中，提出了一种用于检测酶促反应网络中稳态多重性的新颖算法方法。该方法利用了源自化学反应网络理论的网络结构特性。首先，根据参数在网络长期动态中所诱导的定性行为，将参数空间划分为不同区域。一旦确定了这些区域，通过解决给定的优化问题，在不同区域中检查多重性出现的条件。通过这种方式，该方法能够根据是否存在多重稳定性来表征生化网络的整个参数空间。通过一个著名的具有底物抑制的酶催化案例对该方法进行了说明。
