25 citations · 56 across the 7 of their papers we have counts for
10 papers
A Floating Cylinder on An Unbounded Bath
Hanzhe Chen, David Siegel
In this paper, we reconsider a circular cylinder horizontally floating on an unbounded reservoir in a gravitational field directed downwards, which was studied by Bhatnargar and Fi…
Computing Weakly Reversible Linearly Conjugate Chemical Reaction Networks with Minimal Deficiency
Matthew D. Johnston, David Siegel, Gábor Szederkényi
Mass-action kinetics is frequently used in systems biology to model the behaviour of interacting chemical species. Many important dynamical properties are known to hold for such sy…
Dynamical Equivalence and Linear Conjugacy of Chemical Reaction Networks: New Results and Methods
Matthew D. Johnston, David Siegel, Gábor Szederkényi
In the first part of this paper, we propose new optimization-based methods for the computation of preferred (dense, sparse, reversible, detailed and complex balanced) linearly conj…
A Linear Programming Approach to Weak Reversibility and Linear Conjugacy of Chemical Reaction Networks
Matthew D. Johnston, David Siegel, Gábor Szederkényi
A numerically effective procedure for determining weakly reversible chemical reaction networks that are linearly conjugate to a known reaction network is proposed in this paper. Th…
Linear Conjugacy of Chemical Reaction Networks
Matthew D. Johnston, David Siegel
Under suitable assumptions, the dynamic behaviour of a chemical reaction network is governed by an autonomous set of polynomial ordinary differential equations over continuous vari…
A Stratum Approach to Global Stability of Complex Balanced Systems
David Siegel, Matthew D. Johnston
It has long been known that complex balanced mass-action systems exhibit a restrictive form of behaviour known as locally stable dynamics. This means that within each compatibility…