Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

The concept of the slow invariant manifold is recognized as the central idea underpinning a
transition from micro to macro and model reduction in kinetic theories. We present the …

A chemical explosive mode analysis (CEMA) was developed as a new diagnostic to identify
flame and ignition structure in complex flows. CEMA was then used to analyse the near-field …

A criterion based on computational singular perturbation (CSP) is proposed to effectively
distinguish the quasi steady state (QSS) species from the fast species induced by reactions …

Chemistry plays a key role in many astrophysical situations regulating the cooling and the
thermal properties of the gas, which are relevant during gravitational collapse, the evolution …

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The conditions for application of the directed relation graph (DRG) method in skeletal
reduction of mechanisms with vastly different time scales were systematically analyzed. It …

An algorithm is developed to generate simplified (skeletal) kinetic mechanisms from a given
detailed one. The algorithm is able to replicate the dynamics of a user-specified set of …

We consider dynamical systems possessing an attracting, invariant" slow manifold" that can
be parameterized by a few observable variables. We present a procedure that, given a …

There currently exist two methods for analysing an explosive mode introduced by chemical
kinetics in a reacting process: the Computational Singular Perturbation (CSP) algorithm and …