Presentation Information
[C21-04]Structural Properties of Biochemical Reaction Networks Derived from Network Decomposition
*Bryan S. Hernandez1 (1. University of the Philippines Diliman (Philippines))
Keywords:
chemical reaction networks,biochemical systems,network decomposition,steady states
The study of complex biochemical reaction networks poses significant challenges due to their intricate structures and dynamic behaviors. To address these complexities, we utilize network decomposition techniques in analyzing the structural and dynamical properties of biochemical models. We will briefly present the computational method that we develop to derive the so-called independent decompositions and how this is useful in calculating steady states, thus facilitating investigations into long-term behaviors of biochemical systems. Importantly, we observe the ubiquity among biochemical reaction networks that can be decomposed into independent subnetworks. This decomposition is characterized by the ability to directly sum their stoichiometric matrices, resulting in the stoichiometric matrix of the entire network. Furthermore, we observe the prevalence of networks in which their independent subnetworks can be refined into incidence-independent components, maintaining the same property through the direct summation of incidence matrices of these networks. We characterize this phenomenon and explore the conditions under which the two types of decomposition coincide. Additionally, we identify relationships between these decompositions and their linkage classes, which correspond to the connected components of the network. These relationships allow a deeper level of understanding of the algebraic architecture of reaction networks.