HIV Within-Host Dynamics Incorporating Cell to Cell Virus Transmission

Widayani, Heni (2019) HIV Within-Host Dynamics Incorporating Cell to Cell Virus Transmission. Presented at Second International Conference on Applications of Mathematics to Nonlinear Sciences, June 27-30, 2019, Pokhara, Nepal.

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Abstract

HIV can be directly transmitted from infected cells to healthy cells. In this project, a new HIV model is developed by including both cell-to-cell transmission and cell-free virus infection. Basic reproductive number $R_0$ is obtained and shown to be a critical threshold parameter. Two steady states of the model are obtained and the corresponding characteristic equations are analyzed. It is shown that the infection-free steady state is locally asymptotically stable when $R_0$ lies below unity while the infected steady state is locally asymptotically stable when $R_0$ exceeds unity. Sensitivity and uncertainty analysis was performed to evaluate which parameter(s) the model prediction and $R_0$ are most sensitive to. During cell-to-cell transmission, multiple virions can be transmitted simultanenously, which makes the therapy difficult to inhibit all the transmission. An extended model including different numbers of virions transmitted during cell-to-cell transmission has been proposed and will be further analyzed to study the HIV dynamics under therapy.

Item Type: Conference (Poster)
Keywords: HIV, Within-Host, Cell to cell
Subjects: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics
01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics
11 MEDICAL AND HEALTH SCIENCES > 1107 Immunology
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Heni Widayani
Date Deposited: 10 Nov 2021 21:13

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