2021/09/12 by Lauro L. Fontanil, Eduardo Mendoza, Fontanil, Lauro L. +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Computer Science · #Computational Drug Discovery Methods #Electrochemical Analysis and Applications #FOS: Biological sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Protein Structure and Dynamics
paper · pdf · doi:10.48550/arxiv.2109.06645
openalex publication_date 2021/09/12 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
A decomposition of a chemical reaction network (CRN) is produced by\npartitioning its set of reactions. The partition induces networks, called\nsubnetworks, that are "smaller" than the given CRN which, at this point, can be\ncalled parent network. A complex is called a common complex if it occurs in at\nleast two subnetworks in a decomposition. A decomposition is said to be\nincidence independent if the image of the incidence map of the parent network\nis the direct sum of the images of the subnetworks' incidence maps. It has been\nrecently discovered that the complex balanced equilibria of the parent network\nand its subnetworks are fundamentally connected in an incidence independent\ndecomposition. In this paper, we utilized the set of common complexes and a\ndeveloped criterion to investigate decomposition's incidence independence\nproperties. A framework was also developed to analyze decomposition classes\nwith similar structure and incidence independence properties. We identified\ndecomposition classes that can be characterized by their sets of common\ncomplexes and studied their incidence independence. Some of these decomposition\nclasses occur in some biological and chemical models. Finally, a sufficient\ncondition was obtained for the complex balancing of some power law kinetic\n(PLK) systems with incidence independent and complex balanced decompositions.\nThis condition led to a generalization of the Defficiency Zero Theorem for some\nPLK systems.\n