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A differential equation model of Ets2 driven bistability of TFG-beta concentration

Young, Alexander L.

Abstract Details

2011, Master of Science, Ohio State University, Mathematics.
Fully understanding the development of a cancer within an organism requires detailed understanding on interactions taking place within the microenvironments of individual cells. Cancer formation requires not only growth of cancerous epithelial cells but also changes to the immune and mesenchymal cells in the neighborhood of the tumor. Without environmental changes tumor restructuring and angiogenesis needed for a tumor to fully develop, the cancer would not pose a severe threat. A primary mechanism for controlling said angiogenesis and stoma restructuring is in the cytokine family of transforming growth factor beta. In this paper the activity of the regulatory gene Ets2 and its effects on transforming growth factor beta through macrophage and fibroblasts will be studied via a system of ordinary differential equations. The ODEs will demonstrate the potential for Ets2 to act as an intermediate in an autocatalytic pathway that can drive TGFb to heightened levels necessary for the promotion of tumorigenesis.
Avner Friedman (Advisor)
Michael Ostrowski (Committee Member)
35 p.

Recommended Citations

Citations

  • Young, A. L. (2011). A differential equation model of Ets2 driven bistability of TFG-beta concentration [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306811234

    APA Style (7th edition)

  • Young, Alexander. A differential equation model of Ets2 driven bistability of TFG-beta concentration. 2011. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1306811234.

    MLA Style (8th edition)

  • Young, Alexander. "A differential equation model of Ets2 driven bistability of TFG-beta concentration." Master's thesis, Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306811234

    Chicago Manual of Style (17th edition)