Comparison of Invariant Manifolds for Model Reduction in Chemical Kinetics
By Eliodoro Chiavazzo, Gorban' An, Karlin I.V. Communications in Computational Physics, 2007
80 citations recorded by the source corpus.
A modern approach to model reduction in chemical kinetics is often based on the notion of slow invariant manifold. The goal of this paper is to give a com- parison of various methods of construction of slow invariant manifolds using a sim- ple Michaelis-Menten catalytic reaction. We explore a recently introduced Method of Invariant Grids (MIG) for iteratively solving the invariance equation. Various initial approximations for the grid are considered such as Quasi Equilibrium Manifold, Spec- tral Quasi Equilibrium Manifold, Intrinsic Low Dimensional Manifold and Symmetric Entropic Intrinsic Low Dimensional Manifold. Slow invariant manifold was also com- puted using the Computational Singular Perturbation (CSP) method. A comparison between MIG and CSP is also reported.
Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/de9fa9b8884b01afc2beee87beb27c3ca3fcd29d
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Citations in the corpus
- Automated refinement and inference of analytical models for metabolic networks (2011, methodology): “This is computationally expensive, however, and has therefore led to alternate approximation methods [61, 62] that can improve the performance of many model reduction algorithms [63, 64] and the partitioning of the system into slow and fast components [65].”