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Identifying and modeling the dynamics of a core cancer sub-network.

dc.contributor.advisorGovender, Keshlan Sathasiva.
dc.contributor.authorBayleyegn, Yibeltal Negussie.
dc.date.accessioned2014-04-22T14:42:09Z
dc.date.available2014-04-22T14:42:09Z
dc.date.created2011
dc.date.issued2011
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2011.en
dc.description.abstractMany recent studies have shown that the initiation of human cancer is due to the malfunction of some genes at the R-checkpoint during the G1-to-S transition of the cell cycle. Identifying and modeling the dynamics of these genes has a paramount advantage in controlling and, possibly, treating human cancer. In this study, a new mathematical model for the dynamics of a cancer sub-network concentration is developed. Positive equilibrium points are determined and rigorously analyzed. We have found a condition for the existence of the positive equilibrium points from the activation, inhibition and degradation parameter values of the dynamical system. Numerical simulations have also been carried out. These results confirm analyses in the literature.en
dc.identifier.urihttp://hdl.handle.net/10413/10607
dc.language.isoen_ZAen
dc.subjectCancer--Mathematical models.en
dc.subjectSystems biology.en
dc.subjectDynamics.en
dc.subjectTheses--Applied mathematics.en
dc.titleIdentifying and modeling the dynamics of a core cancer sub-network.en
dc.typeThesisen

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