Model reduction by extended quasi-steady-state approximation
Related Experiment Video
Updated: Oct 3, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
1Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany. schneider@wias-berlin.de
Abstract:
We extend the quasi-steady-state approximation (QSSA) with respect to the class of differential systems as well as with respect to the order of approximation. We illustrate the first extension by an example which cannot be treated in the frame of the classical approach. As an application of the second extension we prove that the trimolecular autocatalator can be approximated by a fast bimolecular reaction system. Finally we describe a class of singularly perturbed systems for which a higher order QSSA can easily be obtained.
Related Concept Videos
Reaction Mechanisms: Rate-limiting Step Approximation
Reaction Mechanisms: The Steady-State Approximation
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Block Diagram Reduction
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

