Detailed modeling of complex reaction systems is becoming increasingly important in the
development, analysis, design, and control of chemical reaction processes. For industrial …

The total quasi-steady state approximation (tQSSA) for the irreversible Michaelis-Menten
scheme is derived in a consistent manner. It is found that self-consistency of the initial …

After the decay of transients, the behavior of a set of differential equations modeling a
chemical or biochemical system generally rests on a low-dimensional surface which is an …

Let us consider the differential equation ̇\bfy(t)=\bff(\bfy(t)) with an \bff from \bfR^N to \bfR^N
and suppose that there exists a transformation \bfh from \bfR^N to \bfR^̂N (̂N≤N) such …

A general analysis of exact nonlinear lumping is presented. This analysis can be applied to
the kinetics of any reaction system with n species described by a set of first-order ordinary …

Analytic approximations of the time-evolution of the single enzyme-substrate reaction are
valid for all but a small region of parameter space in the positive initial enzyme-initial …

This review gives a brief account of basic ideas underlying approaches to analysis and
modeling of large‐scale reaction systems. The emphasis is on model simplification and …

The quasi-steady-state approximation (QSSA) has been widely applied for the purposes of
chemical kinetic model reduction. Although it is essentially a low-order approximation, it can …

A general analysis of approximate nonlinear lumping for a chemical kinetic system
described by an n-dimensional first order ordinary differential equation system dy/dt= f (y) is …

We investigate in this article the use of reduction techniques in air pollution modeling. The
reduction of chemical kinetics is performed on the basis of a timescale analysis and of …