activity
20102026
most citedTranslated Chemical Reaction Networks

46 citations · 89 across the 15 of their papers we have counts for

collaborators

20 papers

math.DS2026

Bistability, Absolute Concentration Robustness, and Hysteresis in Dual-Site Futile Cycles with Bifunctional Enzymes

Badal Joshi, Tung D. Nguyen, Matthew D. Johnston

Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metab…

math.DS2023

A two-strain model of infectious disease spread with asymmetric temporary immunity periods and partial cross-immunity

Matthew D. Johnston, Bruce Pell, David A. Rubel

We introduce a two-strain model with asymmetric temporary immunity periods and partial cross-immunity. We derive explicit conditions for competitive exclusion and coexistence of th…

math.DS2021

Analysis of Mass-Action Systems by Split Network Translation

Matthew D. Johnston

We introduce the notion of corresponding a chemical reaction network to a split network translation, and use this novel process to extend the scope of existing network-based theory…

math.DS2020★ 12 cited

On classes of reaction networks and their associated polynomial dynamical systems

David F. Anderson, James D. Brunner, Gheorghe Craciun +1

In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been identified. These include…

math.DS2019

Realizations of kinetic differential equations

G. Craciun, M. D. Johnston, G. Szederkényi +3

The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is…

math.OC2018

Computing Weakly Reversible Deficiency Zero Network Translations Using Elementary Flux Modes

Matthew D. Johnston, Evan Burton

We present a computational method for performing structural translation, which has been studied recently in the context of analyzing the steady states and dynamical behavior of mas…