 After initiation of HAART, many HIV infected patients have significant improvement in CD4 levels. However, some patients continue to have low CD4 counts 350 cellsmm3 despite adequate viral suppression. The purpose of this study is to determine whether administration of GH will increase naïve CD4 production. Further, the study will assess whether an increase in naïve CD4 production will lead to increases in antigen-specific CD4 and CD8 T cells. 