© 2001 by the American Diabetes Association, Inc. A Nonlinear Effect of Hyperglycemia and Current Cigarette Smoking Are Major Determinants of the Onset of Microalbuminuria in Type 1 Diabetes
1 Section of Genetics and Epidemiology, Research Division, Joslin Diabetes Center, Boston, Massachusetts
Cigarette smoking and poor glycemic control are risk factors for diabetic nephropathy in type 1 diabetes. However, the specifics of the relation of these risk factors to the onset of this complication have not been elucidated. To investigate these issues, we followed for 4 years 943 Joslin Clinic patients aged 1544 years with type 1 diabetes who had normoalbuminuria during the 2-year baseline period. Microalbuminuria developed in 109 of the 943 individuals, giving an incidence rate of 3.3/100 person-years. The risk of onset of microalbuminuria was predicted somewhat more precisely by the measurements during the 1st and 2nd years preceding onset than by all the measurements during the longer (4-year) interval, suggesting attenuation of the impact of past hyperglycemia over time. Point estimates of the incidence rate (per 100 person-years) according to quartiles of HbA1c during the 1st and 2nd years preceding the outcome were 1.3 in the 1st, 1.5 in the 2nd, 3.1 in the 3rd, and 6.9 in the 4th (P = 1.3 x 10-9). Point estimates of the incidence rate (per 100 person-years) according to smoking status were 7.9 for current smokers, 1.8 for past smokers, and 2.2 for those who had never smoked (P = 2.0 x 10-7). In a multiple logistic model, the independent effects of HbA1c level and cigarette smoking remained highly significant, but their magnitudes were reduced. Using the same covariates in a generalized additive model, we examined the shape of the relationship between HbA1c and onset of microalbuminuria and found significant nonlinearity in the logarithm of odds scale (P = 0.04). The slope was steeper with HbA1c >8% than <8%. Furthermore, the change in the slope was magnified among current smokers. In conclusion, patients with type 1 diabetes who smoke and have an HbA1c >8% have the highest risk of onset of microalbuminuria.
It is estimated that 35% of individuals with type 1 diabetes will develop advanced diabetic nephropathy, although the risk may be declining with time (1,2,3). Individuals with advanced diabetic nephropathy are at greatly increased risk of cardiovascular disease and death from end-stage renal failure (1,4,5). Identification of the determinants of the onset of early diabetic nephropathy is, therefore, essential for reducing the morbidity and mortality associated with diabetes. After 30 years duration of illness, about half of type 1 diabetes patients have developed microalbuminuria, the earliest clinically recognized stage of diabetic nephropathy (6,7). Many studies have identified poor glycemic control as a strong risk factor for the onset of microalbuminuria (8,9,10,11,12,13,14,15,16,17,18), but debate continues over the shape of the relation between the level of hyperglycemia and risk of microalbuminuria (10,14,16,19). The mechanisms underlying this relation are unknown. These include not only the biological nature of the renal injury induced by hyperglycemia, but also how the injury accumulates and what processes exist to repair it. Of great interest, therefore, are studies that attempt to dissect the temporal aspects of renal injury, such as the delay between exposure to an "effective" dose of hyperglycemia and the onset of microalbuminuria (latent period). The findings of these studies may indicate the extent to which the renal injury that results from microalbuminuria is "functional" (in the sense that it occurs after short exposure and is not cumulative) or "morphological" (in the sense that it develops after long exposure and is cumulative). The evidence for cigarette smoking as a risk factor for diabetic nephropathy in type 1 diabetes has been inconsistent. Many studies have found cigarette smoking to be a significant risk factor for advanced stages of diabetic nephropathy (20,21,22,23), but other research has not supported this association (24,25). The discrepancies might have resulted from increased mortality of those who smoked cigarettes. Only a few studies have examined smoking as a risk factor for the onset of microalbuminuria; some have shown significant association between the development of microalbuminuria and smoking (12,26,27), whereas others have not (11,28). In the latter studies, the effect of smoking cessation as a confounding factor and a possible interaction between poor glycemic control and smoking did not receive sufficient attention.
In this study, we examined the individual and combined effects of HbA1c levels and smoking on the incidence rate of microalbuminuria in the Natural History of Microalbuminuria Study, a prospective cohort study of patients with type 1 diabetes attending the Joslin Clinic (7,14,29). Within this cohort, >1,000 patients with normoalbuminuria were identified during the 2-year baseline period, and the majority of them have been followed for
Study protocols for baseline and follow-up examinations were approved by the Committee on Human Studies at the Joslin Diabetes Center.
Study participant selection.
Assessment of urinary albumin excretion.
Consensus classification of nephropathy status.
Follow-up assessment of outcome. Because we required that a diagnosis of microalbuminuria be confirmed in a second urine sample (hence the designation persistent microalbuminuria), we repeated the analyses in this report after excluding the minority of microalbuminuria onsets that were based on a single ACR. The results, which were not materially affected, are summarized in a footnote to Table 3.
GHb. Since 1988, GHb has been assayed by the Joslin Clinical Laboratory at the time of routine clinic visits. In January 1995, the assay method was changed from an electrophoretic method (Corning Medical and Scientific, Corning, NY) for measuring HbA1 to an ion-exchange chromatographic method (Variant; Bio-Rad, Hercules, CA) for the subfraction HbA1c. Both methods were run together for 4 months, and the correlation coefficient for duplicate determinations on the same specimens was 0.98. The HbA1 values were converted to HbA1c values by the following formula: HbA1c = (HbA1-0.14)/1.23 (14).
Assessment of hyperglycemic exposure.
Medical record abstracting.
Cigarette smoking.
Statistical analysis. Univariate and multiple logistic regression analyses were performed using pooled logistic regression (30). Pooled logistic regression is essentially a discrete failure time approach and was suggested by the use of a consensus of multiple ACR measurements obtained over a 2-year interval to define onset of microalbuminuria, as opposed to a single measurement that would have a specific date. This means that individuals entered the logistic regression for follow-up one time from baseline to the first follow-up interval and a second time from the first to second follow-up intervals, provided they did not have an event during the first follow-up interval. One complication was the group of 76 individuals who had no ACR measurement in the first follow-up interval but did have measurements in the second follow-up interval. Random imputation was used to assign an interval to events that occurred in that group (31). The model for multiple logistic regression analyses included as covariates HbA1c, smoking status, age at diagnosis of diabetes, and duration of diabetes (32). As a consequence of the study design, all models also included an indicator variable for the follow-up interval of analysis (first or second). Baseline smoking status was used for both periods of analysis. Because of missing creatinine values for many baseline urine samples that had very low albumin levels (<10 mg/l; see above), models that included ACR as a covariate were run in two ways. The first method restricted the analysis to the second follow-up interval for which urine creatinine as well as albumin were measured for all urine samples. The second method replaced each missing baseline ACR value with an average ACR based on urine samples with the same albumin concentration that did have creatinine measured. The resulting odds ratios were similar. Only the later analysis with its much larger sample size is presented. We used GAMs, within the discrete failure time approach, to assess the linearity (in the logarithm of odds scale) of the relationship between HbA1c and onset of microalbuminuria. A GAM allows for relaxation of the assumption of linearity by using a flexible smoothing termin this case the loess optionto fit a smooth curve to the ungrouped data (33). We examined a variety of spans and found that a span of 0.7 best represented the association, as judged by Akaikes information criterion. The results are presented as predicted incidence rates, with the shaded region representing the pointwise ± 2 SE band. Interactions between HbA1c and smoking status (current smokers versus past smokers/those who never smoked) were tested using linear and nonlinear terms for HbA1c. For calculation of adjusted incidence rates within various subgroups of patient characteristics, the confounding variables were set to their mean or observed proportions. The 2-year follow-up intervals were taken into account in estimating the risk of onset per year and the incidence rate per 100 person-years from the logistic and GAM models, respectively (32).
The cohort of eligible individuals for this study consisted of 1,080 Massachusetts residents ages 1544 years with type 1 diabetes (94% of them Caucasian) who were classified as normoalbuminuric during the 2-year baseline interval. The average age at diagnosis of type 1 diabetes in the cohort was 15 ± 8 years, and the average duration of diabetes at baseline was 13 ± 8 years. Follow-up screening for microalbuminuria was obtained from 943 individuals (87%). Of those followed, 92% were screened in the first 2-year follow-up interval and 84% in the second 2-year follow-up interval, with a resulting 3,245 person-years of follow-up. Persistent microalbuminuria (hereafter referred to as microalbuminuria) developed in 109 individuals in either the first or second follow-up interval, giving an incidence rate of microalbuminuria of 3.3 per 100 person-years. Baseline characteristics of the patients are summarized in Table 1 according to whether microalbuminuria developed during follow-up. Compared to those remaining normoalbuminuric, the patients with the onset of microalbuminuria had a longer duration of diabetes (2 years on average; P = 0.03) and a correspondingly younger age at diagnosis of diabetes (P = 0.02). The strongest associations were a higher HbA1c in those with the onset of microalbuminuria (9.1 vs. 8.1%; P = 0.0001) and a higher prevalence of current cigarette smokers (48 vs. 21%; P = 0.001). Current age, blood pressure, BMI, and sex were similar in the two groups.
An important aim of this study was to explore the temporal relationship between exposure to a level of hyperglycemia, as reflected in HbA1c levels, and the risk of onset of microalbuminuria. Toward that end, we examined three summary measures of HbA1c that had different temporal relationships with each follow-up interval. The first measure was the geometric mean of HbA1c values obtained during the 3rd and 4th year preceding each follow-up interval. The second measure was the geometric mean of HbA1c values obtained during the 1st and 2nd year preceding each follow-up interval. The third measure was the average of the first two measures, and represents an integrated measure of the glycemic exposure during the 1st, 2nd, 3rd, and 4th years preceding each follow-up interval. Each measure of HbA1c was divided approximately into quartiles using the ranges 4.37.2, 7.38.1, 8.29.0, and 9.1.16.5%, which were based on the distribution of HbA1c values during the initial baseline interval. Incidence rates of microalbuminuria were estimated for each quartile (Table 2).
The HbA1c measure based on values obtained during the 3rd and 4th years preceding each follow-up interval did not separate the study group very well into a gradient of risk levels for the onset of microalbuminuria (Table 2). The incidence rates for the first three quartiles were identical, and only the highest quartile had an elevated incidence rateabout three times as high as the lower quartiles. The HbA1c measure based on values obtained during the 1st and 2nd years preceding each follow-up interval gave a slightly higher incidence rate for the highest quartile (6.9 vs. 6.4 per 100 person-years) and a lower incidence rate for the lowest quartile (1.3 vs. 2.2 per 100 person-years) (Table 2). Therefore, HbA1c values during the 1st and 2nd years appear to be better discriminators of risk than the HbA1c measure during the 3rd and 4th years before follow-up.
When the two HbA1c measures were combined to give a measure based on a larger number of HbA1c determinations that spanned 4 instead of 2 years, the incidence rates were not better than those based on only the 1st and 2nd years before follow-up. Addition of the HbA1c values from the earlier time period produced a slight dampening of the risk gradient rather than an accentuation of it, as would be expected if the effects of hyperglycemia were cumulative over the whole 4-year period. To compare the measurements directly, we restricted the analysis to people with data in both 2-year intervals. As judged by In preparation for evaluating the dosage-response relation between hyperglycemia and the risk of onset of microalbuminuria without the potentially confounding effects of other risk factors, we examined the association of the significant risk factors identified in Table 1 with the level of HbA1c. Patients in the lowest quartile of baseline HbA1c were, on average, 3 years older at the diagnosis of diabetes and had a duration of diabetes 2 years shorter than patients in the higher quartiles. Of greater importance was that the proportion currently smoking increased progressively from 14% in the 1st quartile to 41% in the 4th quartile of HbA1c. Current smoking, therefore, was associated with both the onset of microalbuminuria and the level of HbA1c, so it is a confounder of univariate estimates of the effect of HbA1c on the risk onset of microalbuminuria. To evaluate the independent effect of HbA1c level, we used multiple logistic analysis of these variables in patients with information on both smoking and HbA1c (Table 3). Adjustment for smoking, age at diagnosis of diabetes, and duration of diabetes reduced the odds ratio for the highest quartile of HbA1c from 6.3 in the unadjusted analysis to 4.7 (a 25% reduction). Inclusion of smoking in the model was responsible for most of the decrease in the estimates of the effect of HbA1c.
To examine the shape of the association between HbA1c and onset of microalbuminuria in more detail, we used a GAM that allows relaxation of the assumption of linearity between HbA1c exposure and the outcome (24). The model was adjusted for smoking, age at diagnosis of diabetes, and duration of diabetes. There was a significant nonlinear component to the fit (P = 0.04): the incidence rate of onset was relatively constant for HbA1c values of
The effect of smoking on risk of onset of microalbuminuria was evaluated in a similar way. In the univariate analysis shown in Table 3, current smokers had a substantially elevated relative odds in comparison with those who never smoked (3.3; 95% CI2.15.2), whereas past smokers did not (0.82; 95% CI 0.391.7). The incidence rate of onset of microalbuminuria (per 100 person-years) was 7.9 for current smokers, 1.8 for past smokers, and 2.2 for never smokers (P = 2.0 x 10-7). To evaluate the independent effect of smoking, we used the multiple logistic analysis summarized in Table 3. Adjustment for HbA1c and other potential confounders reduced the odds ratio for current smoking from 3.8 in the univariate analysis to 3.1 (an 18% reduction). The decrease was mainly attributable to the inclusion of HbA1c in the model. Interestingly, when we restricted our analysis to individuals with at least three ACR measurements (or two concordant measurements) in both the baseline and the follow-up interval, the adjusted odds ratios for the 2nd through 4th quartiles of HbA1c relative to the 1st were unchanged from the results of the original analysis (see legend to Table 3). The same was true for the current smokers. To examine the joint effects of cigarette smoking and HbA1c on the risk of onset of microalbuminuria, we fitted a GAM to obtain predicted incidence rates stratified by smoking status (Fig. 2). The model included an interaction term between the effects of smoking and HbA1c and, as before, was adjusted for age at diagnosis of diabetes and duration of diabetes. The estimated incidence rates for nonsmokers and smokers at an HbA1c of 8% were 1.3 and 4.8 per 100 person-years, respectively, a difference of 3.5 onsets per 100 person-years for smoking. The estimated incidence rates at HbA1c values 8 and 10% among nonsmokers were 1.3 and 3.4 per 100 person-years, respectively, a difference of 2.1 onsets per 100 person-years for the effect of the higher HbA1c. Neither of the differences associated with a single exposure were very large, but the presence of both factors together was accompanied by a very high estimated incidence rate15.0 onsets per 100 person-years. The risk associated with exposure to both factors was more than additive. When either was evaluated as a second exposure, it was associated with a much larger effect than it had as a single exposure. Among individuals with HbA1c of 10%, the added risk for smokers was 11.6 onsets per 100 person-years. Alternatively, among smokers, the added risk for those with poor glycemic control (HbA1c = 10%) was 10.2 onsets per 100 person-years. With due allowance for this being an observational study, these differences could be viewed as indications of the potential benefits of either smoking cessation or improved glycemic control among smokers with poor glycemic control (Fig. 2).
The baseline level of the ACR has often been included in models of the risk of microalbuminuria (8,12,15,18,28). Interpretation of the estimated effect of this variable is problematic for both biological and statistical reasons, as ACR levels are also the outcome of interest (34). Nonetheless, ACR is a potentially useful clinical predictor of microalbuminuria. To test our findings while simultaneously taking baseline ACR into consideration, we included it in the multiple logistic model that included HbA1c, smoking, and other potential confounders. A doubling of baseline ACR increased the odds by a factor of 4.1 (95% CI 2.95.9). Estimates of the odds ratios for HbA1c and current smoking in this model were reduced only slightly (15 and 5%, respectively), indicating that their effects were independent of baseline ACR.
We followed prospectively for 4 years a large cohort of patients with type 1 diabetes to elucidate the association of two risk factors, hyperglycemia and cigarette smoking, to the risk of onset of microalbuminuria. Particular attention was given to the relation between onset of microalbuminuria and HbA1c levels at various times in the past. We found that the risk of onset of persistent microalbuminuria in each 2-year follow-up interval was more closely related to the HbA1c measurements during the preceding 2-year study interval than to the interval 34 years prior or the average over the whole 4-year interval. If the renal injury caused by hyperglycemia is retained over a long time, the accumulated injury would be more closely reflected in the HbA1c values from the preceding 4 years than in the values from just the preceding 2 years. Therefore, our results suggest that, although exposure to significant hyperglycemia even for a period of 2 years increases the risk of microalbuminuria during the subsequent 2 years, this effect is subsequently attenuated. One possibility is that, in part, the renal injury induced by hyperglycemia is functional and not carried over from earlier exposures, although more long-term data are needed to evaluate the extent and speed with which the effect of a period of severe hyperglycemia is attenuated. This finding is consistent with the results of the Diabetes Control and Complications Trial (DCCT) study (10). In the primary as well as in the secondary intervention cohorts, the effect of intensive diabetes treatment on reducing the risk of microalbuminuria was observed only after good glycemic control was maintained for 3 years. Curiously, the recently published results of the post-trial follow-up appear at first glance to be inconsistent with this observation, in that the difference in risk in the two treatment groups has persisted despite the convergence of their HbA1c distributions (35). Microalbuminuria had developed in 11% of those formerly in the conventional treatment group (average HbA1c 9.1%) and in 5% of those formerly in the intensive treatment group (average HbA1c 7.1%) (35). It should be noted, however, that in this post-trial study, significant differences in HbA1c levels between the two groups persisted during the first 3 years and became insignificant only during the 4th year. Furthermore, microalbuminuria was evaluated in a single specimen taken 3.5 years after the end of the trial, and it is unknown how soon after the trial the microalbuminuria developed or in what proportion of these cases the microalbuminuria was transient rather than sustained. Our results suggest that the higher risk of onset of microalbuminuria in the conventional treatment group would persist 2 years beyond the end of the trial and perhaps longer, taking into account the persisting differences in HbA1c between the study groups. Only subsequently would the difference between the groups decrease in response to the convergence of their HbA1c distributions during the first several years of post-trial follow-up. The results of our study and the DCCT are evidence that the risk of onset of persistent microalbuminuria is substantially determined by the level of hyperglycemia during a 2- to 3-year interval (window of exposure) preceding the onset of microalbuminuria. This has implications for further studies as well as for patient care. The use of a baseline value (that becomes increasingly remote during follow-up) or a cumulative average of measurements (that includes remote values no longer relevant to the current risk) may not give an accurate representation of the dosage-response relationship. This conclusion, however, must be qualified, because no one has specifically examined the effect of more remote exposures. The shape of the dosage-response relationship between levels of HbA1c and the risk of onset of microalbuminuria in the current study is similar to that obtained in our previous cross-sectional study (14). The shift to a steeper slope in the upper ranges of HbA1c indicates that the effect of a proportionate difference in HbA1c depends on whether the HbA1c is above or below 8%. In the illustration given in RESULTS, a 10% decrease in HbA1c from 8 to 7.2% was associated with a 12% lower risk of onset, whereas a 10% decrease in HbA1c from 10 to 9% was associated with a 50% lower risk of onset. From this, one may infer that the expected benefit of improved glycemic control will depend in a similar way on whether the starting point is above or below HbA1c= 8%, as well as an individuals constellation of other risk factors (such cigarette smoking, as suggested by the data in Fig. 2). In contrast, according to the dosage-response relationship modeled by DCCT investigators for "sustained microalbuminuria," the expected risk reduction from a 10% improvement in HbA1c is virtually the same in the ranges below and above 8.0, 49, and 35% (19). Two possible reasons for the different results from the DCCT and our study should be considered. (It should be noted that our comparisons between the two studies are restricted to DCCT results for "sustained microalbuminuria" [based on two measurements] because it is closer to our end point [based on two or more measurements for 71% of cases] than their less reliable end point of "microalbuminuria" [based on one measurement] [19]).
First, the distribution of duration of diabetes was quite different in the two studies. As reported in the DCCT and by us, duration has an impact on the risk of microalbuminuria (7,10). It may also have an impact on the shape of the dosage-response relationship with HbA1c. Although there is not enough power in our study to test differences in the shape according to duration, the magnitude of the change in slope at HbA1c = 8% was greater for patients with diabetes duration Second, the two studies used different measures of exposure to hyperglycemia. In our study, we evaluated several indexes of hyperglycemia defined by various exposure windows. We found the strongest association with the geometric mean HbA1c during the exposure window 2 years preceding the follow-up interval in which the outcome was evaluated. In the DCCT, the onset of microalbuminuria was related to the mean of all quarterly measurements of HbA1c, up to the annual examination at which the first abnormal test was obtained (10,19,28). Therefore, the exposure windows related to the annual examinations ranged from 1 to 9 years and averaged about 4 years. If one takes as valid our finding that the risk of microalbuminuria is more closely related to the most recent 2 years of exposure than to past exposures, then inclusion of the more remote HbA1c values in the updated mean may have blurred the relationship between HbA1c and risk in the DCCT study. In addition to the HbA1c level, current smoking was significantly associated with the risk of the onset of microalbuminuria in the current study. Although this finding is consistent with the results of several previous studies (12,26,27), we were able to obtain new detailed information regarding this association. Because smokers had poorer glycemic control than nonsmokers, we examined the effect of smoking after controlling for HbA1c using logistic regression models and GAMs. In the former, the effect of smoking was reduced because of its association with poor glycemic control, but the odds ratio remained high and was highly significant statistically. In the GAMs, on the other hand, we demonstrated that the effect of smoking was enhanced in individuals with poor glycemic control. These results indicate that hyperglycemia (as reflected in a high HbA1c value) and current smoking may impact the risk of microalbuminuria through different pathophysiological mechanisms. Because this was an observational study, one must consider the possibility that a persons psychological makeup could predispose her or him to an unhealthy lifestyle that introduces various risk factors for microalbuminuria besides cigarette smoking and poor glycemic control. Therefore, some of the effects attributed to these two factors in our analysis may have been attributable to unmeasured risk behaviors. However, a large effect attributable to unmeasured risk behaviors seems unlikely, as the risk for past smokers was similar to that for those who never smoked. Furthermore, this result may be interpreted as evidence that the smoking-related renal injury is functional rather than cumulative (36). If true, a risk reduction from smoking cessation would be immediate. Based on our evidence that the effect of smoking on the risk of microalbuminuria is magnified in patients with poor glycemic control, it is not surprising that the DCCT investigators found almost identical risks for current smokers and nonsmokers in the intensive treatment group (2.7 and 2.9 onsets of microalbuminuria per 100 person-years, respectively) (28). In the conventional treatment group, which had an HbA1c distribution similar to that of our cohort, the risk for smokers was slightly higher (but not significantly) than in nonsmokers (5.3 and 4.2 per 100 person-years, respectively) (28). This difference is small in comparison to that seen in our study. However, if many of the smokers in the conventional treatment group stopped smoking during the trial, their excess risk would have been diminished, as suggested by the results for past smokers in our study. Baseline ACR is a strong predictor of the onset of microalbuminuria, as reported previously (8,12,15,18,28). Interestingly, estimates of the effects of current smoking and HbA1c were unaffected by inclusion of baseline ACR in the modelan indication that their effects are independent of ACRs association with the risk of onset. Thus, ACR values within the normal range may be related to genetic determinants of susceptibility to kidney disease rather than to a response to environmental exposures (37). We did not find any association between systolic or diastolic blood pressure and the onset of microalbuminuria. This negative finding must be tempered by our use of measurements made in the clinic, the inaccuracies of which may have diminished our power to detect association. Previous studies, however, have not found a consistent relationship between blood pressure and the risk of microalbuminuria (11,12,15,18,28). In conclusion, we investigated the relationship of two exposures, cigarette smoking and hyperglycemia (HbA1c), to the risk of onset of microalbuminuria. The incidence rate of microalbuminuria changes almost imperceptibly as HbA1c increases up to 8% and then rises steeply as HbA1c increases beyond 8%. The precise value where the slope changes has not been determined. Current (but not past) smoking increased the risk of microalbuminuria. The effect of the two exposures together is greater than the sum of their separate effects, suggesting some type of interaction. One implication from these results is that patients with type 1 diabetes who both smoke and have high HbA1c levels could greatly benefit from eliminating at least one of the two risk factors.
This research was supported by National Institutes of Health (NIH) Grant RO1-DK41526 and the Joslin Diabetes Center. L.J.S. was supported by NIH training grant T32 DK07260-21/22. We are indebted to the patients of the Joslin Clinic and the staff of the Joslin Diabetes Center, particularly the Reception Desk, Clinical Laboratory, Management Information Systems, and Medical Records Departments for their assistance and cooperation in conducting this study, and to the following members of the Section of Genetics and Epidemiology: F. Denry, M. Davidson, M. Pezzolesi, M. OKeefe, K. Anderson, D. Butler, N. Castronuovo, M. Wantman, and E. Hart.
Address correspondence and reprint requests to Dr. Andrzej S. Krolewski, Genetics and Epidemiology, Joslin Diabetes Center, One Joslin Place, Boston, MA 02215. E-mail: andrzej.krolewski{at}joslin.harvard.edu. Current address for L.J.S. is Department of Biostatistics, School of Public Heath, University of Michigan, Ann Arbor, MI. Received for publication 14 January 2001 and accepted in revised form 18 September 2001. ACR, ratio of albumin and creatinine ratio in urine; DCCT, Diabetes Control and Complications Trial; GAM, generalized additive model.
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