HIV에 관한 동적 치료법: 최적 제어와 STI 제어 접근법

초록

We formulate a dynamic mathematical model that describes the interaction of the immune system with the human immunodeficiency virus(HIV) and that permits drug "cocktail" therapies. We derive HIV therapeutic strategies by formulating and analyzing an optimal control problem using two types of dynamic treatments representing reverse transcriptase inhibitors(RTIs) and protease inhibitors(PIs). Continuous optimal therapies are found by solving the corresponding optimality system. In addition, we formulate and derive suboptimal structured treatment interruptions(STI) in antiviral therapy that include drug-free periods of immune-mediated control of HIV. Our numerical results support a scenario in which STI therapies could lead to long term control of HIV by the immune response after discontinuation of therapy.