6 citations · 16 across the 8 of their papers we have counts for
10 papers
A decomposition-based approach for deriving positive steady states of a class of chemical reaction networks with non-mass-action kinetics
Bryan S. Hernandez, Patrick Vincent N. Lubenia
Steady states are frequently used to investigate the long-term behaviors of (bio)-chemical systems. Recently, there has been a growing interest in network-based approaches due to t…
Computational translation framework identifies biochemical reaction networks with special topologies and their long-term dynamics
Hyukpyo Hong, Bryan S. Hernandez, Jinsu Kim +1
Long-term behaviors of biochemical systems are described by steady states in deterministic models and stationary distributions in stochastic models. Obtaining their analytic soluti…
Positive equilibria of power law kinetics on networks with independent linkage classes
Bryan S. Hernandez, Eduardo R. Mendoza
Studies about the set of positive equilibria () of kinetic systems have been focused on mass action, and not that much on power law kinetic (PLK) systems, even for PL-RDK syst…
Independent, Incidence Independent and Weakly Reversible Decompositions of Chemical Reaction Networks
Bryan S. Hernandez, Deza A. Amistas, Ralph John L. De la Cruz +3
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 com…
Independent Decompositions of Chemical Reaction Networks
Bryan S. Hernandez, Ralph John L. De la Cruz
A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN…
Weakly Reversible CF-Decompositions of Chemical Kinetic Systems
Bryan S. Hernandez, Eduardo R. Mendoza
This paper studies chemical kinetic systems which decompose into weakly reversible complex factorizable (CF) systems. Among power law kinetic systems, CF systems (denoted as PL-RDK…
Positive Equilibria of Hill-Type Kinetic Systems
Bryan S. Hernandez, Eduardo R. Mendoza
This work introduces a novel approach to study properties of positive equilibria of a chemical reaction network endowed with Hill-type kinetics , called a Hill-typ…
A Computational Approach to Multistationarity in Poly-PL Kinetic Systems
Daryl M. Magpantay, Bryan S. Hernandez, Aurelio A. de los Reyes +2
One important question that interests those who work in chemical reaction network theory (CRNT) is this: Does the system obtained from a reaction network admit a positive equilibri…
On the Independence of Fundamental Decompositions of Power-Law Kinetic Systems
Bryan S. Hernandez
The fundamental decomposition of a chemical reaction network (CRN) is induced by partitioning the reaction set into "fundamental classes". It was the basis of the Higher Deficiency…
Fundamental Decompositions and Multistationarity of Power-Law Kinetic Systems
Bryan S. Hernandez, Eduardo R. Mendoza, Aurelio A. de los Reyes
The fundamental decomposition of a chemical reaction network (also called its "-decomposition") is the set of subnetworks generated by the partition of its set of reac…