Table of Contents
ISRN Applied Mathematics
Volume 2014 (2014), Article ID 594617, 10 pages
http://dx.doi.org/10.1155/2014/594617
Research Article

Stochastic Model for Langerhans Cells and HIV Dynamics In Vivo

1Center for Applied Research in Mathematical Sciences, Strathmore University, P.O. Box 59857, Nairobi 00200, Kenya
2Department of Mathematics, Makerere University, P.O. Box 7062, Kampala, Uganda

Received 11 September 2013; Accepted 23 October 2013; Published 19 January 2014

Academic Editors: D. Haemmerich and X. Liu

Copyright © 2014 Waema R. Mbogo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 antiretroviral therapy, we present and analyse a stochastic model describing the dynamics of HIV, T cells, and LCs interactions under therapeutic intervention in vivo and show that LCs play an important role in enhancing and spreading initial HIV infection. We perform sensitivity analyses on the model to determine which parameters and/or which interaction mechanisms strongly affect infection dynamics.