1802.05745v1.pdf (829.14 kB)
Model reduction in chemical dynamics: slow invariant manifolds, singular perturbations, thermodynamic estimates, and analysis of reaction graph
journal contributionposted on 2018-05-18, 12:22 authored by A. N. Gorban
The paper has two goals: (1) It presents basic ideas, notions, and methods for reduction of reaction kinetics models: quasi-steady-state, quasi-equilibrium, slow invariant manifolds, and limiting steps.(2) It describes briefly the current state of the art and some latest achievements in the broad area of model reduction in chemical and biochemical kinetics, including new results in methods of invariant manifolds, computation singular perturbation, bottleneck methods, asymptotology, tropical equilibration, and reaction mechanism skeletonization.
Supported by the University of Leicester, UK, and the Ministry ofEducation and Science of Russia (Project No. 14.Y26.31.0022).
CitationCurrent Opinion in Chemical Engineering, 2018, 21, pp. 48-59
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)