A chemical reaction network is said to be endowed with k-variable kinetics if the kinetic vector has entries of the form
K-variable kinetics is a generalization of mass action kinetics which allows the rate of each reaction to vary within a compact region over time. The terminology "k-variable kinetics" was introduced by Gheorghe Craciun, Casian Pantea and Fedor Nazarov and has been further studied by Casian Pantea and David Anderson, who called the kinetics "bounded mass action kinetics".
- Gheorghe Craciun, Casian Pantea, and Fedor Nazarov, Persistence and permanence of mass-action and power-law dynamical systems, to appear SIAM J. Appl. Math., 2012
- Casian Pantea, On the persistence and global stability of mass-action systems, SIAM J. Math. Anal., 44(3), 2012
- David Anderson, A proof of the global attractor conjecture in the single linkage class case, SIAM J. Appl. Math., 71(4):1487--1508, 2011