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20192022
most citedA Computational Approach to Multistationarity in Poly-PL Kinetic Systems

5 citations · 8 across the 3 of their papers we have counts for

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math.DS20211 cited

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…

math.DS2021

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…

math.DS2020

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…

math.DS20205 cited

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…

math.DS2020

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…

math.DS2019

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…