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

dc.contributor.advisor	Govender, Keshlan Sathasiva.
dc.contributor.author	Bayleyegn, Yibeltal Negussie.
dc.date.accessioned	2014-04-22T14:42:09Z
dc.date.available	2014-04-22T14:42:09Z
dc.date.created	2011
dc.date.issued	2011
dc.description	Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2011.	en
dc.description.abstract	Many 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.uri	http://hdl.handle.net/10413/10607
dc.language.iso	en_ZA	en
dc.subject	Cancer--Mathematical models.	en
dc.subject	Systems biology.	en
dc.subject	Dynamics.	en
dc.subject	Theses--Applied mathematics.	en
dc.title	Identifying and modeling the dynamics of a core cancer sub-network.	en
dc.type	Thesis	en

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