<div class="csl-bib-body">
<div class="csl-entry">Portisch, S. (2017). <i>A novel approach to dimension reduction in enzyme kinetics</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/78990</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/78990
-
dc.description.abstract
This thesis presents a novel approach to analysing multiple time scale systems inspired by concepts and methods of tropical geometry. The analysis is carried out in the context of the specific problem of justifying dimension reduction for the Michaelis Menten model of enzyme reactions. An ε-dependent exponential variable transformation allows to handle very different orders of magnitudes of variables and parameters at once. Applying these ideas to the Michaelis Menten model, we prove the existence of an invariant, attracting and one-dimensional slow manifolds for small values of the parameter ε . This thesis is a first step to fully understand the Michaelis Menten model in all parameter regimes and to further develop the tropical approach as a tool in geometric singular perturbation theory (GSPT).
de
dc.format
76 Blätter
-
dc.language
English
-
dc.language.iso
en
-
dc.subject
tropische Geometrie
de
dc.subject
Enzymkinetik
de
dc.subject
geometrische singuläre Störungstheorie
de
dc.subject
tropical geometry
en
dc.subject
enzyme kinetics
en
dc.subject
geometric singular perturbation theory
en
dc.title
A novel approach to dimension reduction in enzyme kinetics
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.contributor.affiliation
TU Wien, Österreich
-
dc.publisher.place
Wien
-
tuw.thesisinformation
Technische Universität Wien
-
tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing