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Antimicrobial Agents and Chemotherapy, February 1998, p. 358-361, Vol. 42, No. 2
0066-4804/98/$04.00+0
Copyright © 1998, American Society for Microbiology. All rights reserved.
Mathematical Modeling of the Interrelationship of CD4 Lymphocyte
Count and Viral Load Changes Induced by the Protease
Inhibitor Indinavir
George L.
Drusano* and
Daniel S.
Stein
Departments of Medicine and Pharmacology,
Albany Medical College, Albany, New York 12208
Received 16 December 1996/Returned for modification 7 May
1997/Accepted 12 June 1997
While CD4 cell counts are widely used to predict disease
progression in human immunodeficiency virus (HIV)-infected patients, they are poorly explanatory of the progression to AIDS or death after
the introduction of chemotherapy. Changes in HIV load (as measured by
RNA PCR) have been shown to be a much better predictor of the risk of
disease progression. Since the interrelationship of these markers is of
great clinical interest, we modeled the time-averaged return of CD4
cell count and change in viral load subsequent to therapy with the HIV
protease inhibitor indinavir. We found that CD4 cell return was
significantly related to both the baseline CD4 count
(r2 = 0.86, P < 0.001)
and the decline in HIV RNA PCR-determined viral load (also referred to
in this work as the HIV RNA PCR decline) (r2 = 0.60, P < 0.01).
Simultaneously modeling both influences in a linked nonlinear model
(r2 = 0.93, P < 0.001)
demonstrated that (i) the starting number of CD4 cells accounted for
the majority of the change in CD4 cell return and (ii) the return of
CD4 cells attributable to viral load decrease was 50% of maximal with
only a decrease of approximately 0.2 log of HIV RNA as modeled from the
first 12 weeks of therapy. Much greater viral inhibition beyond that
necessary for maximal CD4 cell return is possible. Given that HIV RNA
PCR decline is more strongly linked to ultimate clinical course in HIV
disease, our findings indicate that CD4 return is potentially
misleading as an indicator of antiviral effect, since it is determined
more by the starting CD4 value than by viral load decline and since near-maximal changes occur with minimal antiviral effect.
*
Corresponding author. Mailing address: Departments of
Medicine and Pharmacology, Albany Medical College, 47 New Scotland
Ave., A-142, Albany, NY 12208. Phone: (518) 262-6330. Fax: (518)
262-6333. E-mail: GLDrusano{at}aol.com.
Antimicrobial Agents and Chemotherapy, February 1998, p. 358-361, Vol. 42, No. 2
0066-4804/98/$04.00+0
Copyright © 1998, American Society for Microbiology. All rights reserved.
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