Repeated measurements on persons infected with HIV-1 indicate that inf
ection has a dynamic impact on several markers of immune suppression a
nd activation. The objectives of this report are: (a) to provide a sta
tistical model for the correlation structure of serial measurements of
immunological markers, and (b) to identify features of marker profile
s associated with the timing of AIDS diagnoses. We analyse data obtain
ed from 328 seroconverters participating in the Multicenter AIDS Cohor
t Study on whom the date of HIV-1 seroconversion is known within +/- 4
.5 months. Immunological markers considered here are CD4 cell counts,
serum beta2-microglobulin and serum neopterin. The statistical model f
or HIV-related changes in markers consists of (1) a piecewise linear r
egression model for the trajectories of markers over time and (2) a tw
o-parameter autocorrelation function that generalizes Markovian and si
mple random effects autocorrelation structures. Application of this mo
del for marker measurements revealed a high degree of tracking, as the
estimated autocorrelation function exhibited sub-exponential decay ov
er time. Though current marker levels are most informative on future v
alues, there is substantial information (memory) in previous measureme
nts. A feature suggested by the analysis of groups formed according to
the length of the AIDS-free period, is the sequential divergence of t
he CD4 trajectories where steeper declines occurred with a two-year la
g prior to AIDS onset. For AIDS cases diagnosed 3-5 and 5-7 years afte
r seroconversion, the rates of decline compared with those free of AID
S for at least 4 years were steeper by 95 and 46 per cent respectively
at two years prior to AIDS.