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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…
math.OC2016
A Linear Programming Approach to Dynamical Equivalence, Linear Conjugacy, and the Deficiency One Theorem
Matthew D. Johnston
The well-known Deficiency One Theorem gives structural conditions on a chemical reaction network under which, for any set of parameter values, the steady states of the correspondin…