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    • College of Agriculture, Engineering and Science
    • School Mathematics, Statistics and Computer Science
    • Applied Mathematics
    • Masters Degrees (Applied Mathematics)
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    Identifying and modeling the dynamics of a core cancer sub-network.

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    Thesis. (776.9Kb)
    Date
    2011
    Author
    Bayleyegn, Yibeltal Negussie.
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    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.
    URI
    http://hdl.handle.net/10413/10607
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    • Masters Degrees (Applied Mathematics) [74]

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