A method to estimate the number of people in a country or region with HIV who are undiagnosed and in need of ART

Methods The HIV surveillance data needed are the number of previously undiagnosed people presenting with AIDS (simultaneous HIV/AIDS) in a year, with their CD4 count. The number of people with a simultaneous HIV/AIDS diagnosis in a given CD4 count stratum represents a proportion of the total undiagnosed population with CD4 count in that stratum. This proportion is equivalent to the annual incidence of AIDS in persons in that CD4 count stratum, estimable from cohort studies. For each CD4 count stratum, the number of people with undiagnosed HIV can be estimated by dividing the number of people with simultaneous HIV/AIDS diagnoses (with CD4 count in the stratum) by the CD4-specific AIDS rate. The uncertainty associated with this estimate was evaluated by allowing the AIDS incidence to vary according to a Normal distribution, based on the 95% confidence interval for the incidence rate. The number of simultaneous HIV/AIDS diagnoses was allowed to vary according to a Poisson distribution. These two sources of uncertainty were simultaneously accounted for over 10000 runs.