A Mathematical Model on CTL Mediated Control of Hiv Infection in a Long-Term Drug Therapy

Abstract

Bonhoeffer et al. 1 studied the long-term dynamics of HIV drug therapy and virus load dynamics. It is well known that highly active anti retroviral therapy (HAART) can effectively control the HIV replication. It is also well known that reverse transcriptase inhibitors (RTIs) could block new infection and as a result control HIV infection. The positive feedback control on such dynamics plays an important role and CD4 + T cells are not only produced from a source but also produced from existing T cells. The present investigation takes into account these factors in the original model of Bonhoeffer et al. The optimal control therapy and the effect of time delay in the positive feedback control function have been investigated. Numerical simulation of the nonlinear model has confirmed our analytical studies.

Modeling the dynamics of viral–host interaction during treatment of productively infected cells and free virus involving total immune response

“…In the literature, numerous mathematical models have been developed to study the dynamics of HIV infection [1,4,9,17,18,[24][25][26]29,41,42]. The basic viral dynamics model has been studied in detail by researchers [1,24]:…”

“…In their models, they considered the CTL response (which kills infected cells) and antibody response (which facilitates removal of viruses) separately to study the analytical behavior of systems. Roy et al [29] studied the effect of CTL immune response on the dynamics of infected CD4 + T cells, virus producing CD4 + T cells, and virus by introducing a positive feedback parameters in the model. They also investigated an optimal control therapy using reverse transcriptase inhibitors (RTIs) that block new infection.…”

Modeling the Impact of Optimal Control Strategies on the Dynamics of Zika Virus Disease Using the Sterile Insect Technology

“…Chatterjee AN et al [21] presented a research work on the effect of an antiviral drug treatment along immune activator IL-2: A control-based mathematical approach for HIV infection. The work of [22] also demonstrated a mathematical model on the CTL mediated control of HIV infection in a long term drug therapy. Roy PT et al [23] presented an optimal control theoretical approach of the effect of HAART on CTL mediated immune cells.…”

Parameter inference for HIV stochastic diffusion model in closed heterosexual population

“…The deterministic approach for HIV dynamics has been developed to describe the immune system and its interaction with HIV as well as the effects of drug therapy . Other studies revealed the lifetime of infected cells, which actively produce copies of the virus, and the high replication rate of HIV in the body.…”