Independent, incidence independent and weakly reversible decompositions of chemical reaction networks

BS Hernandez, DA Amistas, RJL De la Cruz… - arXiv preprint arXiv …, 2021 - arxiv.org
Chemical reaction networks (CRNs) are directed graphs with reactant or product complexes
as vertices, and reactions as arcs. A CRN is weakly reversible if each of its connected …

Comparative analysis of carbon cycle models via kinetic representations

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 …

Chemical reaction network decompositions and realizations of S-systems

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 …

Concentration robustness in LP kinetic systems

AR Lao, PVN Lubenia, DM Magpantay… - arXiv preprint arXiv …, 2021 - arxiv.org
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 …

[PDF][PDF] Complex balanced equilibria of weakly reversible poly-PL kinetic systems and evolutionary games

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 …

Common complexes of decompositions and complex balanced equilibria of chemical reaction networks

LL Fontanil, ER Mendoza - arXiv preprint arXiv:2109.06645, 2021 - arxiv.org
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 …

Absolutely complex balanced kinetic systems

EC Jose, ER Mendoza, DASJ Talabis - arXiv preprint arXiv:2103.11183, 2021 - arxiv.org
A complex balanced kinetic system is absolutely complex balanced (ACB) if every positive
equilibrium is complex balanced. Two results on absolute complex balancing were …

Positive equilibria of power law kinetics on networks with independent linkage classes

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 …

Positive equilibria of power law kinetic systems with kinetics-based decompositions

JMG Tiongson, DASJ Talabis, LL Fontanil - Journal of Mathematical …, 2024 - Springer
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 …

Weakly reversible CF-decompositions of chemical kinetic systems

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 …