Although the available anti-HIV drugs can, in combination, block viral replication, current therapies do not eliminate the viral infection. As a consequence, patients are currently prescribed multiple drugs (usually three). This approach is called combination antiretroviral therapy (cART). cART is the standard of care because treating patients with monotherapies fails to completely suppress HIV-1 replication, which leads to the rapid emergence of drug resistance (Havlir, McLaughlin, & Richman, 1995; Shafer et al., 2003). In most patients who are compliant, there is a decrease, over several months, in the level of viral RNA in the blood to levels below what can be detected in standard commercial assays (Maldarelli et al., 2007; Perelson et al., 1997). The most effective anti-HIV therapies target the HIV-1 viral enzymes protease, reverse transcriptase (RT), and integrase. The current standard of care for treatment-naïve patients includes an integrase strand transfer inhibitor (INSTI) plus two additional nucleoside reverse transcriptase inhibitors