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dc.contributor.advisorChirove, Faraimunashe.
dc.contributor.advisorMotsa, Sandile Sydney.
dc.creatorMungwe, S'yanda Nkanyiso.
dc.date.accessioned2016-09-26T07:43:48Z
dc.date.available2016-09-26T07:43:48Z
dc.date.created2016
dc.date.issued2016
dc.identifier.urihttp://hdl.handle.net/10413/13389
dc.descriptionMaster of Science in Applied Mathematics.en_US
dc.description.abstractHIV dynamics within the host are complex especially when a reservoir of latently infected CD4+ T cells are present. The failure of the immune system and antiviral therapy to suppress the virus has been suggested to be enhanced by the latently infected CD4+ T cells which are responsible for persistence of HIV within the host. Cells remaining in latent state have been shown to lack suffcient levels of Tat and associated activation-dependent host factor that are necessary for processive transcription of the virus. Tat is a protein that is capable of activating the latently infected CD4+ T cells. Recently, as a protein, Ssu72 was found to be responsible for activation and replication of the virus. Ssu72 enhances the effects of Tat activation in a mutualistic interactive manner. The interaction of Tat and Ssu72 thus, enhances the activation of the latently infected CD4+ T cells which may in turn expose the virus for possible attack by the immune system reaction. In the current study, we modify a constant virus HIV model to incorporate the effects of Tat and Ssu72 on latently infected CD4+ T cells. We analyze the models using both analytic and numerical techniques. Important threshold was derived and model analysis carried out. The incorporation of Tat and Ssu72 proteins on the HIV-1 model with a constant virus shows that, with time the unifected and infectious classes decrease to zero for a threshold value of 30-40 copies of each protein.en_US
dc.language.isoen_ZAen_US
dc.subjectHIV infections -- Mathematical models.en_US
dc.subjectSpectral sequences (Mathematics)en_US
dc.subjectT cells -- Receptors.en_US
dc.subjectPhosphoprotein phosphatases.en_US
dc.subjectTheses -- Mathematics.en_US
dc.subjectTATen_US
dc.subjectSSU72en_US
dc.titleUsing spectral methods on HIV infection with TAT and SSU72 activation.en_US
dc.typeThesisen_US


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