Negative Feedback Effect in HIV Progression: An Optimal Control Theoretic Approach

摘要

Long-term infection by Human Immunodeficiency Virus produces a multitude of clinical symptoms resulting in total suppression of the immune system dominated by depletion in CD4+ T cell count and reduction in density of Human Immunodeficiency Virus specific Cytotoxic T-Lymphocyte immune responses. Since the dynamics between viral infection and replication parameters and the host immunity system changes from short-term to long-term chronic infection, mathematical modeling of long-term dynamics necessitates incorporation of negative feedback control mechanism. By applying optimal control theory approach to the administration of combination therapy of reverse transcriptase inhibitor and interleukin 2 in the same model, the most cost-effective strategy has been established where maximum recovery of CD4+ T cell population is attained.