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Analyses of Metabolic Dynamics in Saccharomyces cerevisiae
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2012 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This thesis conducts a study on the stability of steady states in the

glycolysis of in silico models of Saccharomyces cerevisiae. Such un-

controlled models could reach unstable steady states that are unlikely

to occur in vivo. Little work has previously been done to examine

stability of such models.

The glycolysis is modeled as a system of nonlinear dierential equa-

tions. This is done by using rate equations describing the rate of change

in concentration of each metabolite involved in glycolysis. By lineariz-

ing this system around dierent equilibria and calculating the eigen-

values of the associated jacobian matrices the stability of the steady

states can be determined. Additionally perturbation analysis adds fur-

ther insight into the stability of the steady state.

Given the large range of possible initial conditions which result in

dierent steady states, a physiologically feasible one, as well as the

environment around it, is chosen to be the subject of this study. A

steady state is stable if all the eigenvalues of the Jacobian matrix are

negative. The model created by Teusink et al, and expanded upon by

Pritchard et, for the glycolysis in S.cerevisiae is used as the primary

model of the study.

The steady state does not have strictly negative eigenvalues: Two

of them are very close to zero, with one positive, within error tolerance

of our numerical methods. This means that linear analysis cannot

determine whether the steady state is stable. The whole nonlinear

system has to be considered. After performing perturbation analysis

we conclude that the steady state is most likely stable in the Lyapunov

sense.

Place, publisher, year, edition, pages
2012. , 62 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-103612OAI: oai:DiVA.org:kth-103612DiVA: diva2:560956
Uppsok
Technology
Supervisors
Available from: 2013-04-12 Created: 2012-10-16 Last updated: 2013-04-12Bibliographically approved

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