Although HIV viremia in infected patients proceeds in a manner that may be accounted for by deterministic mathematical models, single virus-cell encounters following initial HIV exposure result in a variety of outcomes, only one of which results in a productive infection. The development of single molecule tracking techniques in living cells allows studies of intracellular transport of HIV, but...

Early initiation of antiretroviral therapy (ART) reduces the risk of drug-sensitive HIV transmission but may increase the transmission of drug-resistant HIV. We used a mathematical model to estimate the long-term population-level benefits of ART and determine the scenarios under which earlier ART (treatment at 1 year post-infection, on average) could decrease simultaneously both total and drug-...

The administration of a genetically engineered defective interfering virus (DIV) that interferes with HIV-1 replication has been proposed as a therapy for HIV-1 infection and AIDS. The proposed interfering virus, which is designed to superinfect HIV-1 infected cells, carries ribozymes that cleave conserved regions in HIV-1 RNA that code for the viral envelope protein. Thus DIV infection of HIV-...

Nonlinear differential equations were used for formulating a mathematical model describing the dynamics of HIV interaction with CD4 T-cells which are considered to be activated or not activated during recognition of viral particles; in either case they are susceptible to HIV infection. The system's equilibrium points were found and local stability was determined for trivial equilibrium or the a...

Background In Sudan, where studies on HIV dynamics are few, model projections provide an additional source of information for policy-makers to identify data collection priorities and develop prevention programs. In this study, we aimed to estimate the distribution of new HIV infections by mode of exposure and to identify populations...

Background HIV/AIDS and Tuberculosis (TB) are major contributors to the burden of disease in sub-Saharan Africa. The two diseases have been described as a harmful synergy as they are biologically and epidemiologically linked. Control of TB/HIV co-infection is an integral and most challenging part of both national TB and national HIV control programmes, especially in contexts of instability wher...

A new mathematical model is presented to simulate various changes of cell pools in the T cell immune system with validation procedures imitating viral infections. The present paper focuses on changes during the course of an acute progressive HIV-1 infection. Parameters are optimized by a direct search method and the stability of the model is studied. Mathematical modeling supports the hypothesi...

the most urgent public health problem today is to devise effective strategies to minimize the destruction caused by the aids epidemic. mathematical models based on the underlying transmission mechanisms of the aids virus can help the medical/scientific community understand and anticipate its spread in different populations and evaluate the potential effectiveness of different approaches for bri...