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Modelling the co-infection dynamics of HIV-1 and M. tuberculosis
Dissertation (MEng)--University of Pretoria, 2008.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613498991706113 |
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| access_status_str | Open Access |
| author2 | Xia, Xiaohua |
| author_browse | Xia, Xiaohua |
| author_facet | Xia, Xiaohua |
| collection | Thesis |
| dc_rights_str_mv | © University of Pretoria 2008 |
| description | Dissertation (MEng)--University of Pretoria, 2008. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/27325 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:37:06.816Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/27325 Modelling the co-infection dynamics of HIV-1 and M. tuberculosis Xia, Xiaohua ebendutoit@gmail.com Du Toit, Eben Francois Identifiability Hiv and tb parameter estimation Simulation of states Bioengineering Dynamic system Modelling Medical system Non-linear systems UCTD Dissertation (MEng)--University of Pretoria, 2008. This dissertation focuses on the modelling, identification and the parameter estimation for the co-infection of HIV-1 and M. tuberculosis. Many research papers in this field focus primarily on HIV, but multiple infections are explored here, as it is common in many individuals infected by HIV. Tuberculosis is also responsible for the highest number of casualties per year in the group of HIV-infected individuals. A model is proposed to indicate the populations of both pathogen as well as key information factors, such as the overall infected cell population and antigen-presenting cells. Simulations are made to indicate the growth and decline in cell-type numbers for a specific individual. Such simulations would provide a means for further, well-founded investigation into appropriate treatment strategies. One previous such model developed by Kirschner is used to obtain a nominal parameter set. Furthermore, the nominal set is then used in conjunction with real-world samples provided by the National Institute for Communicable Diseases in South Africa, to solidify the credibility of the model in the practical case. This is achieved via simulations and employs parameter estimation techniques, namely the Nelder-Mead cost-function method. An identifiability study of the model is also done. Conclusions drawn from this study include the result that the treatment of M. tuberculosis does not affect the course of HIV-1 progression in a notable way, and that the model can indeed be used in the process of better understanding the disease profile over time of infected individuals. Electrical, Electronic and Computer Engineering MEng unrestricted 2013-09-07T11:11:09Z 2008-10-01 2013-09-07T11:11:09Z 2008-09-02 2008-10-01 2008-08-17 Dissertation Du Toit, EF 2008-10-01, Modelling the co-infection dynamics of HIV-1 and M. tuberculosis, MEng Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/27325> C114/eo http://hdl.handle.net/2263/27325 http://upetd.up.ac.za/thesis/available/etd-08172008-213855/ © University of Pretoria 2008 application/pdf University of Pretoria |
| spellingShingle | Identifiability Hiv and tb parameter estimation Simulation of states Bioengineering Dynamic system Modelling Medical system Non-linear systems UCTD Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title | Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title_full | Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title_fullStr | Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title_full_unstemmed | Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title_short | Modelling the co-infection dynamics of HIV-1 and M. tuberculosis |
| title_sort | modelling the co infection dynamics of hiv 1 and m tuberculosis |
| topic | Identifiability Hiv and tb parameter estimation Simulation of states Bioengineering Dynamic system Modelling Medical system Non-linear systems UCTD |
| url | http://hdl.handle.net/2263/27325 http://upetd.up.ac.za/thesis/available/etd-08172008-213855/ |