Lumping methods for model reduction
Date
2013
Authors
Okeke, Blessing Eberechukwu
University of Lethbridge. Faculty of Arts and Science
Journal Title
Journal ISSN
Volume Title
Publisher
Lethbridge, Alta. : University of Lethbridge, Dept. of Chemistry and Biochemistry, 2013
Abstract
Modelling a chemical or biochemical system involves the use of differential equations
which often include both fast and slow time scales. After the decay of transients, the
behaviour of these differential equations usually rests on a low-dimensional surface in the
phase space which is called the slow invariant manifold (SIM) of the flow. A model has
been effectively reduced if such a manifold can be obtained. In this study, we develop
a method that introduces the lumping process (a technique whereby chemical species are
grouped into pseudo-reagents (lumps) to simplify modelling) into the invariant equation
method, and this new method effectively reduces complex models as well as preserving the
structure and underlying mechanism of the original system. We also apply these methods
to simple models of metabolic pathways. This method of model reduction would be of
great importance for industrial applications
Description
ix, 93 leaves ; 29 cm
Keywords
Model reduction , Lumping process , Methods for model reduction , Dissertations, Academic , Biochemistry -- Mathematical models , Chemical reactions , Biochemistry