NT Fortun, ER Mendoza - Journal of Mathematical Chemistry, 2023 - Springer
The pre-industrial state of the global carbon cycle is a significant aspect of studies related to climate change. In this paper, we recall the power law kinetic representations of the pre …
HF Farinas, ER Mendoza, AR Lao - arXiv preprint arXiv:2003.01503, 2020 - arxiv.org
This paper presents novel decomposition classes of chemical reaction networks (CRNs) derived from S-system kinetics. Based on the network decomposition theory initiated by …
For a reaction network with species set $\mathscr {S} $, a log-parametrized (LP) set is a non- empty set of the form $ E (P, x^*)=\{x\in\mathbb {R}^\mathscr {S} _>\mid\log x-\log x^*\in …
D Talabis, DM Magpantay, ER Mendoza… - … Math. Comput. Chem, 2020 - match.pmf.kg.ac.rs
This study is concerned with chemical reaction networks endowed with poly-PL kinetics, that is, the positive linear combination of power law kinetic systems. We discovered that complex …
A decomposition of a chemical reaction network (CRN) is produced by partitioning its set of reactions. The partition induces networks, called subnetworks, that are" smaller" than the …
A complex balanced kinetic system is absolutely complex balanced (ACB) if every positive equilibrium is complex balanced. Two results on absolute complex balancing were …
BS Hernandez, ER Mendoza - Journal of Mathematical Chemistry, 2023 - Springer
Studies about the set of positive equilibria (E+) of kinetic systems have been focused on mass action, and not that much on power law kinetic (PLK) systems, even for PL-RDK …
The goal of this paper is to characterize the existence of positive equilibria of power law systems through their kinetics-based decompositions. To achieve this, we consider …
BS Hernandez, ER Mendoza - Journal of Mathematical Chemistry, 2022 - Springer
This paper studies chemical kinetic systems which decompose into weakly reversible complex factorizable (CF) systems. Among power law kinetic systems, CF systems (denoted …