STRUCTURED TREATMENT INTERRUPTION (STI): Patients achieving >= 10% gene marked cells for 2 consecutive months following infusion of gene-modified HSPC and with CD4+ cell counts and total lymphocyte counts at baseline begin STI of HAART for up to 12 weeks. Patients resume HAART if one of the following criteria occurs: 1) CD4 count < 350 cells/mcL or decline in percent CD4+ cells by > 33% from baseline for three consecutive evaluations; 2) increase in HIV RNA > 100,000 copies/mL on two consecutive evaluations; 3) 12 weeks have passed since discontinuation of HAART; or 4) at the discretion of the infectious disease (ID) consultant or principal investigator (PI).