Lumping methods for model reduction

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dc.contributor.authorOkeke, Blessing Eberechukwu
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorRoussel, Marc R.
dc.date.accessioned2014-10-24T21:53:36Z
dc.date.available2014-10-24T21:53:36Z
dc.date.issued2013
dc.degree.levelMastersen_US
dc.degree.levelMasters
dc.descriptionix, 93 leaves ; 29 cmen_US
dc.description.abstractModelling 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 applicationsen_US
dc.identifier.urihttps://hdl.handle.net/10133/3558
dc.language.isoen_CAen_US
dc.proquestyesNoen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Chemistry and Biochemistry, 2013en_US
dc.publisher.departmentDepartment of Chemistry and Biochemistryen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectModel reductionen_US
dc.subjectLumping processen_US
dc.subjectMethods for model reductionen_US
dc.subjectDissertations, Academic
dc.subjectBiochemistry -- Mathematical models
dc.subjectChemical reactions
dc.subjectBiochemistry
dc.titleLumping methods for model reductionen_US
dc.typeThesisen_US
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