2018 Theses and Dissertations
Permanent URI for this collectionhttps://hdl.handle.net/11274/13276
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Browsing 2018 Theses and Dissertations by Author "Anderson, Jennifer Ann"
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Item Modeling autoimmune disease with differential equations(10/3/2018) Anderson, Jennifer Ann; Grigorieva, EllinaIn this project, I will build a mathematical model of a developed autoimmune process considering cell autoimmunity that plays the main role in any autoimmune disorder using a system of three non-linear differential equations. As model variables, I will use the concentration of target cells not bearing damage, concentration of cytotoxic T- lymphocytes against given cells, and the concentration of the tissue-specific antigen formed because of the destruction of the target cells. All concentrations will be expressed in the moles per liter. We will investigate the model over the time interval [0, T] given either by months or days analytically as well as numerically.