| Literature DB >> 24204216 |
Marie-Quitterie Picat1, Joanna Lewis, Victor Musiime, Andrew Prendergast, Kusum Nathoo, Addy Kekitiinwa, Patricia Nahirya Ntege, Diana M Gibb, Rodolphe Thiebaut, A Sarah Walker, Nigel Klein, Robin Callard.
Abstract
BACKGROUND: Long-term immune reconstitution on antiretroviral therapy (ART) has important implications for HIV-infected children, who increasingly survive into adulthood. Children's response to ART differs from adults', and better descriptive and predictive models of reconstitution are needed to guide policy and direct research. We present statistical models characterising, qualitatively and quantitatively, patterns of long-term CD4 recovery. METHODS ANDEntities:
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Year: 2013 PMID: 24204216 PMCID: PMC3812080 DOI: 10.1371/journal.pmed.1001542
Source DB: PubMed Journal: PLoS Med ISSN: 1549-1277 Impact factor: 11.069
Figure 1An illustrative representation of the mathematical model used to describe CD4 reconstitution.
Figure 2Modelling CD4-for-age in children showing asymptotic reconstitution.
(A) Mean CD4-for-age over time since ART initiation for 914 children with asymptotic CD4 reconstitution. Errors bars give standard error of the mean. Points are shown for times where >20% of children in this group remained in the trial. Only children participating in a substudy had measurements available at week 4, accounting for the wider error bar. The numbers of children with measurements available at 0, 4, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, and 228 wk were 914, 153, 897, 893, 900, 893, 894, 898, 989, 900, 902, 898, 899, 897, 896, 892, 861, 790, 516, 354, and 232, respectively. (B) Population-average (fixed-effects) ln(CD4-for-age) trajectories predicted by our nonlinear mixed-effects model (Table 2) for “average” HIV-infected children (female, weight-for-age z-score at ART initiation −2.2) aged 2 (dashed line), 6 (solid line), and 10 (dot-dashed line) y. (C) Predicted CD4-for-age trajectories as shown in (B), but plotted on the linear scale (i.e., CD4/expected CD4). (D) Correlations between child-level random effects (difference from population average) in the three model parameters. Each panel refers to correlations between the estimated random effects (differences between child-specific parameters and the population average) in two of the three parameters int (CD4-for-age at ART initiation), asy (long-term CD4-for-age), and c (proportional recovery rate). The pair of parameters being considered is identified by the row and column labels in the panels on the diagonal. The upper-right panels plot the values of the random effects against one another. The lower-left panels give Pearson correlations between the estimated random effects, with 95% confidence intervals and p-values.
Characteristics at ART initiation of the two groups of HIV-infected ART-naïve children in the ARROW trial with qualitatively different CD4 reconstitution profiles.
| Characteristic | Asymptotic CD4 Reconstitution ( | Non-Asymptotic CD4 Reconstitution ( |
|
|
| 474 (52%) | 136 (49%) | 0.13 |
|
| 5.6 (2.3, 9.0) | 7.3 (2.8, 10.7) | <0.001 |
|
| 0.72 | ||
| 1 | 17 (2%) | 3 (1%) | |
| 2 | 251 (27%) | 83 (30%) | |
| 3 | 514 (56%) | 169 (61%) | |
| 4 | 132 (14%) | 37 (13%) | |
|
| 350 (170, 646) | 401 (155, 837) | 0.062 |
|
| 0.26 (0.14, 0.41) | 0.32 (0.14, 0.55) | <0.001 |
|
| −1.3 (−2.0, −0.9) | −1.1 (−1.9, −0.6) | <0.001 |
|
| −2.3 (−3.3, −1.3) | −2.0 (−3.2, −1.0) | 0.023 |
|
| −2.5 (−3.5, −1.6) | −2.0 (−3.1, −1.1) | <0.001 |
|
| 0.61 | ||
| LCM | 459 (50%) | 141 (48%) | |
| CDM | 455 (50%) | 151 (52%) | |
|
| 0.024 | ||
| Arm A | 294 (32%) | 103 (35%) | |
| Arm B | 325 (36%) | 79 (27%) | |
| Arm C | 295 (32%) | 110 (38%) |
Data are median (IQR) unless otherwise indicated. p-Values are for Fisher's exact (WHO stage and first-line ART randomisation), chi-squared (sex and monitoring randomisation), and Wilcoxon rank sum (continuous variables) tests for a difference between the two groups.
CD4 count at ART initiation was missing in one child from each group.
Predictors of CD4-for-age after ART for 914 children with asymptotic CD4 reconstitution.
| Variable | Estimate (95%CI) |
| |
| Natural Scale (ln[CD4-for-Age]) | Linear Scale (CD4-for-Age) | ||
|
|
|
|
|
| Age at ART initiation (per year older) | −0.08 (−0.10, −0.06) | 0.92 (0.91, 0.94) | <0.001 |
| Weight-for-age at ART initiation (per unit | 0.16 (0.12, 0.20) | 1.17 (1.12, 1.22) | <0.001 |
|
|
|
|
|
| Age at ART initiation (per year older) | −0.048 (−0.055, −0.042) | 0.95 (0.95, 0.96) | <0.001 |
| Sex (female versus male) | 0.11 (0.06, 0.16) | 1.11 (1.06, 1.17) | <0.001 |
| ART strategy (Arm B versus Arm A) | 0.044 (−0.017, 0.105) | 1.04 (0.98, 1.11) | 0.16 |
| ART strategy (Arm C versus Arm A) | −0.14 (−0.20, −0.08) | 0.87 (0.82, 0.93) | <0.001 |
|
| 0.038 (0.036, 0.040) | — | <0.001 |
Results are expressed relative to the reference category (boy, aged 6 y, with weight-for-age z-score −2.2 and randomised to first-line ART strategy Arm A [standard of care two-NRTI+NNRTI throughout]). Analysis was carried out on the natural logarithm scale (ln[CD4/expected CD4]), but results are reported both on the natural scale and back-transformed to the linear scale (CD4/expected CD4). Estimated effect sizes of covariates on the baseline (intercept) and the long-term (asymptote) CD4-for-age are additive on the natural log scale, but multiplicative on the linear scale—for example, a 1-y increase in age is associated with a −0.08 unit lower ln(CD4/expected CD4) at ART initiation or, equivalently, a CD4/expected CD4 lower by a factor of exp(−0.08) = 0.92. Similar effect sizes were seen in univariable models. After adjusting for the factors shown, there was no additional predictive value on intercept of sex, WHO disease stage 3 or 4, or first-line ART or monitoring strategy; on asymptote of WHO disease stage 3 or 4, weight-for-age z-score, or monitoring strategy, or on c of age, sex, WHO disease stage 3 or 4, or ART or monitoring strategy (likelihood ratio tests, p>0.01; further details are given in Table S2). Although weight-for-age was not selected in the backwards selection, likelihood ratio tests to assess additional predictors on top of the final multivariable model suggested weight-for-age might be a predictor for c (p = 0.003 in likelihood ratio test; estimate 9.31×10−4 higher per one-unit increase in weight-for-age [95% CI: −7.01×10−5, 1.93×10−3], i.e., faster proportionate recovery speed in those with higher weight-for-age at ART initiation). However, other effect size estimates were essentially unchanged, and examining closely related covariate models suggests this apparent predictive value may be the result of overfitting. Thus, the final backwards selection is presented as the final model, as described in the Methods.
Figure 3Predicted long-term CD4 counts in children starting ART at different ages and CD4 levels.
(A) CD4 trajectories predicted for children starting ART having reached WHO CD4 count thresholds at age 2 (dashed line), 6 (dotted line), or 10 (dot-dashed line) y. The thin dashed line indicates WHO thresholds for ART initiation, and the thin solid line the trajectory in CD4 count with age expected in a healthy child. (B) Expected CD4 count on immunological maturity (estimated at age 20 y) for different ages and CD4 counts at ART initiation. Values at the ends of the grey contour lines indicate expected adult CD4 count in children starting ART at the ages and CD4 counts given on the horizontal and vertical axes. The black line indicates the current WHO CD4 thresholds for ART initiation. Grey point markers show the age and fitted CD4 count at ART initiation of the 914 children on whom the model is based. They indicate at which ages/CD4 counts the model has substantial evidence, and where it represents an extrapolation from the available data.
Figure 4CD4-for-age in children not showing asymptotic reconstitution.
Mean CD4 cell count for age with time since ART initiation (error bars: standard error of the mean) for: (A) 23 children with significant (p<0.05) decreasing CD4-for-age with time; (B) 79 children with significant (p<0.05) increasing CD4-for-age with time but not fitting the asymptotic model; (C) 153 children with no significant change (p>0.05) in CD4-for-age with time; and (D) 37 children with only baseline CD4 count available. For comparison to the asymptotic group, grey lines indicate average (fixed-effects, for a 6-y-old girl with weight-for-age z-score −2.2) CD4-for-age in the 914 children with asymptotic CD4 reconstitution. In (A–C), data points are shown where >20% of children in each group remained in the trial.
Characteristics at ART initiation of four subgroups of HIV-infected ART-naïve children who did not show asymptotic CD4-for-age reconstitution on long-term ART (n = 292).
| Characteristic | CD4-for-Age Decreasing ( | CD4-for-Age Increasing ( | No Significant Change in CD4-for-Age ( | ≤2 Measurements ( |
|
|
| 12 (52%) | 40 (51%) | 68 (44%) | 16 (43%) | 0.59 |
|
| 9.2 (6.6, 11.6) | 5.5 (2.4, 8.8) | 8.1 (3.1, 11.3) | 5.4 (1.8, 9.1) | 0.009 |
|
| 0.16 | ||||
| 1 | 0 (0%) | 1 (1%) | 2 (1%) | 0 (0%) | |
| 2 | 6 (26%) | 32 (41%) | 39 (25%) | 6 (16%) | |
| 3 | 13 (57%) | 39 (49%) | 100 (65%) | 17 (46%) | |
| 4 | 4 (17%) | 7 (9%) | 12 (8%) | 14 (38%) | |
|
| 281 (89, 1013) | 360 (83, 737) | 479 (230, 980) | 130 (22, 671) | 0.016 |
|
| 0.28 (0.08, 0.43) | 0.28 (0.07, 0.41) | 0.40 (0.21, 0.66) | 0.12 (0.01, 0.34) | 0.002 |
|
| −1.3 (−2.5, −0.9) | −1.3 (−2.7, −0.9) | −0.9 (−1.6, −0.4) | −2.1 (−4.2, −1.1) | 0.002 |
|
| −1.7 (−2.8, −1.4) | −2.0 (−3.2, −0.8) | −1.8 (−2.8, −0.8) | −3.5 (−5.0, −2.4) | 0.55 |
|
| −2.1 (−3.4, −1.1) | −2.3 (−3.3, −1.0) | −1.9 (−2.8, −1.2) | −2.7 (−3.4, −1.4) | 0.73 |
|
| 0.33 | ||||
| LCM | 7 (30%) | 38 (48%) | 71 (46%) | 25 (68%) | |
| CDM | 16 (70%) | 41 (52%) | 82 (54%) | 12 (32%) | |
|
| 0.14 | ||||
| Arm A | 7 (30%) | 35 (44%) | 48 (31%) | 13 (35%) | |
| Arm B | 10 (43%) | 20 (25%) | 42 (27%) | 7 (19%) | |
| Arm C | 6 (26%) | 24 (30%) | 63 (41%) | 17 (46%) |
Data are median (IQR) unless otherwise indicated. p-Values are for Fisher’s exact (categorical variables) or Kruskal-Wallis (continuous variables) tests for a difference between the four groups.