Stochastic Model for Langerhans Cells and HIV Dynamics in Vivo

20 Pages Posted: 12 Sep 2013

See all articles by Rachel Mbogo

Rachel Mbogo

Strathmore University

Livingston S. Luboobi

Makerere University - Department of Mathematics

John Odhiambo

Strathmore University

Date Written: September 11, 2013

Abstract

Many aspects of the complex interaction between HIV and the human immune system remain elusive. Our objective is to study these interactions, focusing on the specific roles of langerhans cells (LCs) in HIV infection. In patients infected with HIV, a large amount of virus is associated with LCs in lymphoid tissue. To assess the influence of LCs on HIV viral dynamics during anti-retroviral therapy, we present and analyse a stochastic model describing the dynamics of HIV, CD4 T-cells, and LCs interactions under therapeutic intervention in vivo. We perform sensitivity analyses on the model to determine which parameters and/or which interaction mechanisms strongly affect infection dynamics.

Keywords: HIV infection, Latent period, Langerhans cells, CD4 T-cells, Stochastic model, Therapeutic intervention

Suggested Citation

Mbogo, Rachel and Luboobi, Livingston S. and Odhiambo, John, Stochastic Model for Langerhans Cells and HIV Dynamics in Vivo (September 11, 2013). Available at SSRN: https://ssrn.com/abstract=2324112 or http://dx.doi.org/10.2139/ssrn.2324112

Rachel Mbogo (Contact Author)

Strathmore University ( email )

P.O. Box 59857
Nairobi, 00200
Kenya

Livingston S. Luboobi

Makerere University - Department of Mathematics ( email )

Kampala
Uganda

John Odhiambo

Strathmore University

P.O. Box 3009
Nairobi, 00506
Kenya

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