Modeling autoimmune disease with differential equations
| dc.contributor.advisor | Grigorieva, Ellina | |
| dc.creator | Anderson, Jennifer Ann | |
| dc.creator.orcid | 0000-0001-5798-1776 | |
| dc.date.accessioned | 2020-02-24T18:08:31Z | |
| dc.date.available | 2020-02-24T18:08:31Z | |
| dc.date.created | 2018-08 | |
| dc.date.issued | 10/3/2018 | |
| dc.date.submitted | 18-Aug | |
| dc.date.updated | 2020-02-24T18:08:31Z | |
| dc.description.abstract | In 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. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/11274/12210 | |
| dc.language.iso | en | |
| dc.subject | Differential equations | |
| dc.subject | Autoimmune disease | |
| dc.subject | Math model | |
| dc.title | Modeling autoimmune disease with differential equations | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics and Computer Sciences | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Texas Woman's University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science |
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