111 citations · 359 across the 19 of their papers we have counts for
5 papers · 1 filter
On the Lyapunov function for complex-balanced mass-action systems
Manoj Gopalkrishnan
We present a new proof, using the log-sum inequality, that the pseudo-Helmholtz free energy function is a Lyapunov function for complex-balanced mass-action systems. This proof is…
Autocatalysis in Reaction Networks
Abhishek Deshpande, Manoj Gopalkrishnan
The persistence conjecture is a long-standing open problem in chemical reaction network theory. It concerns the behavior of solutions to coupled ODE systems that arise from applyin…
A geometric approach to the Global Attractor Conjecture
Manoj Gopalkrishnan, Ezra Miller, Anne Shiu
This paper introduces the class of "strongly endotactic networks", a subclass of the endotactic networks introduced by G. Craciun, F. Nazarov, and C. Pantea. The main result states…
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics
Manoj Gopalkrishnan, Ezra Miller, Anne Shiu
Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of differential inclusions. Defined on open hypercubes, these families are characterize…
On the Mathematics of the Law of Mass Action
Leonard Adleman, Manoj Gopalkrishnan, Ming-Deh Huang +2
In 1864,Waage and Guldberg formulated the "law of mass action." Since that time, chemists, chemical engineers, physicists and mathematicians have amassed a great deal of knowledge…