TY - JOUR
T1 - Comparison of Invariant Manifolds for Model Reduction in Chemical Kinetics
AU - E. Chiavazzo, A. N. Gorban & I. V. Karlin
JO - Communications in Computational Physics
VL - 5
SP - 964
EP - 992
PY - 2007
DA - 2007/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7934.html
KW - 
AB - <p style="text-align: justify;">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 comparison of various methods of construction of slow invariant manifolds using a simple 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, Spectral Quasi Equilibrium Manifold, Intrinsic Low Dimensional Manifold and Symmetric Entropic Intrinsic Low Dimensional Manifold. Slow invariant manifold was also computed using the Computational Singular Perturbation (CSP) method. A comparison between MIG and CSP is also reported.&nbsp;<br/></p>