We used natural spline (NS) models to investigate nonlinear relationships between levels of benzene metabolites (E,E-muconic acid, S-phenylmercapturic acid, phenol, hydroquinone, and catechol) and benzene exposure among 386 exposed and control workers in Tianjin, China. After adjusting for background levels (estimated from the 60 control subjects with the lowest benzene exposures), expected mean trends of all metabolite levels increased with benzene air concentrations from 0.03 to 88.9 ppm. Molar fractions for phenol, hydroquinone, and E,E-muconic acid changed continuously with increasing air concentrations, suggesting that competing CYP-mediated metabolic pathways favored E,E-muconic acid and hydroquinone below 20 ppm and favored phenol above 20 ppm. Mean trends of dose-specific levels (μmol/L/ppm benzene) of E,E-muconic acid, phenol, hydroquinone, and catechol all decreased with increasing benzene exposure, with an overall 9-fold reduction of total metabolites. Surprisingly, about 90% of the reductions in dose-specific levels occurred below about 3 ppm for each major metabolite. Using generalized linear models with NS–smoothing functions (GLM + NS models), we detected significant effects upon metabolite levels of gender, age, and smoking status. Metabolite levels were about 20% higher in females and decreased between 1% and 2% per year of life. In addition, levels of hydroquinone and catechol were greater in smoking subjects. Overall, our results indicate that benzene metabolism is highly nonlinear with increasing benzene exposure above 0.03 ppm, and that current human toxicokinetic models do not accurately predict benzene metabolism below 3 ppm. Our results also suggest that GLM + NS models are ideal for evaluating nonlinear relationships between environmental exposures and levels of human biomarkers. (Cancer Epidemiol Biomarkers Prev 2006;15(11):2246–52)

Benzene is an important industrial chemical that is also ubiquitous in the environment due to emissions from gasoline and combustion of hydrocarbons and tobacco (1, 2). Occupational exposure to benzene can cause blood disorders, including aplastic anemia, myelodisplastic syndrome, and acute myelogenous leukemia (3, 4). Significant decreases in the numbers of WBC and platelets have recently been reported in workers exposed to <1 ppm benzene (5). These toxic effects are thought to arise from metabolism of benzene, which proceeds along several lines, as illustrated in Fig. 1. Of the various metabolites, 1,4-benzoquinone and the muconaldehydes are regarded as the most toxic species. However, the mechanism by which benzene causes toxicity and the shape of the exposure-response relationship are not well understood (6-8).

Figure 1.

Simplified metabolic scheme for benzene showing major pathways.

Figure 1.

Simplified metabolic scheme for benzene showing major pathways.

Close modal

We recently reported dose-specific urine concentrations of the major urinary metabolites of benzene (i.e., phenol, catechol, hydroquinone, and E,E-muconic acid) and a minor metabolite [S-phenylmercapturic acid (SPMA)] in 250 benzene-exposed and 139 control workers from Tianjin, China (9). After grouping subjects according to their benzene exposures (30 subjects per group), median metabolite levels increased nonlinearly with increasing median benzene concentrations between 0.03 and 20 ppm, whereas median dose-specific levels of total metabolites (μmol/L/ppm benzene) decreased about 10-fold.

We sought a parsimonious statistical model with which to elaborate on our previous grouped analyses (9) and to determine effects of significant covariates, such as gender, age, and smoking status, on the levels of benzene metabolites. Given the nonlinear relationships involved, we selected NS as basis functions for these models because they use standard (least-squares or maximum-likelihood) methods for estimating variables and for conducting formal tests; they can be used to represent predictors in final models; and they can easily be added to generalized linear models (GLM) for considering covariate effects (10-13). Although GLM + NS models have been used in time-series studies of health effects associated with community air pollution (14), we could find no reports of their applications to characterize exposure-biomarker relationships.

Subject Recruitment and Sample Collection

Exposed and control subjects, from two shoe-making factories and three clothes-manufacturing factories, respectively, in Tianjin, China, were recruited with informed consent as described previously (5, 9, 15). Exposed and control subjects were frequency matched by gender. After excluding three control subjects, who had missing values of at least one metabolite, the samples included 250 exposed subjects and 136 control subjects. Table 1 shows summary statistics for the gender, age, and smoking status of participants. Demographic data were obtained by questionnaires at the time of recruitment.

Table 1.

Demographic characteristics of the study population

Exposure statusGendern (%)Air benzene, median (range)Age, median (range)Current smokers, n (%)Smoking intensity*, median (range)
Control Male 52 (38.2) 3.71 (0.146-533) ppb 27 (18-51) 36 (69.2) 10 (1-40) 
 Female 84 (61.8) 3.39 (0.146-21.2) ppb 28 (18-51) 3 (3.57) NR 
 All 136 (100) 3.48 (0.146-533) ppb 28 (18-51) 39 (28.71) 10 (1-40) 
Exposed Male 86 (34.4) 1.05 (0.122-50.2) ppm 23 (18-44) 47 (54.7) 10 (1-30) 
 Female 164 (65.6) 1.28 (0.017-88.9) ppm 33 (18-52) 5 (3.05) 4.5 (2-10) 
 All 250 (100) 1.18 (0.017-88.9) ppm 29 (18-52) 52 (20.8) 7 (1-30) 
Exposure statusGendern (%)Air benzene, median (range)Age, median (range)Current smokers, n (%)Smoking intensity*, median (range)
Control Male 52 (38.2) 3.71 (0.146-533) ppb 27 (18-51) 36 (69.2) 10 (1-40) 
 Female 84 (61.8) 3.39 (0.146-21.2) ppb 28 (18-51) 3 (3.57) NR 
 All 136 (100) 3.48 (0.146-533) ppb 28 (18-51) 39 (28.71) 10 (1-40) 
Exposed Male 86 (34.4) 1.05 (0.122-50.2) ppm 23 (18-44) 47 (54.7) 10 (1-30) 
 Female 164 (65.6) 1.28 (0.017-88.9) ppm 33 (18-52) 5 (3.05) 4.5 (2-10) 
 All 250 (100) 1.18 (0.017-88.9) ppm 29 (18-52) 52 (20.8) 7 (1-30) 
*

Average number of cigarettes per day.

Not reported.

Methods for sampling air and urine were also previously described (5, 9, 15). Briefly, personal full-shift air measurements were matched with post-shift urine samples from exposed and control workers. Of the 386 subjects in this analysis, 139 had repeated measurements of air and urine, making a total of 617 matched air/urine samples. Among subjects with repeated measurements, the median number of paired air and urine samples was three (range, 2-4).

This study was approved by the Institutional Review Boards of the University of North Carolina, the University of California, Berkeley, the U.S. National Cancer Institute, and the Chinese Academy of Preventive Medicine.

Measurements of Air and Urinary Analytes

The methods of measuring analytes in air and urine were described previously (9, 15). Briefly, benzene and toluene were measured in air using passive personal monitors (Organic Vapor Monitors, 3M, St. Paul, MN) followed by solvent desorption and gas chromatography (15). Urinary benzene was determined by gas chromatography-mass spectrometry using head-space solid-phase microextraction according to Waidyanatha et al. (16). Urinary phenol, catechol, hydroquinone, E,E-muconic acid, and SPMA were measured as trimethylsilyl ether derivatives by gas chromatography-mass spectrometry according to Waidyanatha et al. (17). Quantitation of all urinary analytes was based on peak areas relative to the corresponding isotopically labeled internal standards.

All air samples from control subjects were below the nominal limits of detection of 0.2 ppm for benzene and 0.3 ppm for toluene. In addition, some air measurements from exposed subjects were below the limits of detection (n = 70 for benzene and 67 for toluene) or were missing (n = 23). Air concentrations for these samples were predicted from the simple linear regression of levels of urinary benzene or toluene on the corresponding air levels (in log scale) as described previously for benzene (9). The minor metabolite SPMA was not detected in 30 urine specimens; a value of the limit of detection divided by the square root of two = 0.591 nmol/L was imputed to these samples (18).

Statistical Analyses

For subjects with multiple measurements, the estimated geometric mean air and urine concentrations were used in all statistical analyses.

Relationships between levels of the urinary metabolites and the corresponding air concentrations of benzene were examined using NS models with 6 knots. Because our analyses were done with the (natural) log-transformed air and urine levels, knots represent joints of (logged) air levels of benzene, showing different polynomial trends. They were assigned using equally spaced quantiles of the observations (10). We found that 6-knot models were optimal for these analyses after evaluating preliminary models with 3 to 7 knots. To reduce dimensionality, insignificant knots (P > 0.10) were removed by stepwise elimination (19). Each NS model had the form,

where E[ln(Ym,j)|ln(Xj)] is the conditional mean of ln(Ym,j) representing the logged level of the mth metabolite (μmol/L) in the jth subject exposed to benzene at level ln(Xj) (ppm), and ξi is the location of the ith knot (in log-scale of benzene exposure). The function

\([\mathrm{ln}(X_{j}){-}{\xi}_{i}]^{3}_{+}\)
equals
\([\mathrm{ln}(X_{j}){-}{\xi}_{i}]^{3}\)
for positive values and equals zero otherwise. Because metabolite levels from the 60 subjects with the lowest benzene exposures were used to estimate background levels of these metabolites (described later), Model A was applied to the remaining 326 subjects for each benzene metabolite.

Effects of covariates on metabolite levels were determined using GLM + NS models having the form:

where i* indicates the ith knot in the final NS model for the mth metabolite (m = 1, …, 5, representing E,E-muconic acid, SPMA, phenol, catechol, and hydroquinone, respectively), Ckj is the value of the kth covariate (k = 1, …, K) in the jth subject, and the remaining terms were the same as for Model A. The following covariates were evaluated: gender (0, female; 1, male), age (centered around the estimated mean of 30.2 years, n = 326), smoking status (0, nonsmoker; 1, smoker), body mass index (centered around the estimated mean of 22.5 kg/m2, n = 325), co-exposure to toluene [0, low exposure relative to the median concentration of 3.29 ppm (n = 326); 1, high exposure], antibiotics used within 30 days (0, no; 1, yes), and current alcohol consumption status (0, no; 1, yes). Main effects and two-way interactions were evaluated using Proc GLMSELECT of SAS, with backward selection based upon the smallest values of AICc (20), while retaining gender, age, body mass index, and smoking status in all models. With these main effects in the model, no other covariate effects or interactions were retained in final models.

All statistical analyses were done using SAS software for Windows v. 9.12 (SAS Institute, Cary, NC).

Molar Fractions and Dose-Specific Metabolism

Let Ym,j|Xj be the conditional mean value of Ym,j, representing the mth metabolite level in the jth subject, given exposure level Xj under Model A. The molar fraction of the mth metabolite, derived from benzene exposure of the jth subject, was estimated as

\(\frac{(\mathit{Y}_{\mathit{m,j}|\mathit{X_{j}}}{-}\mathit{Y_{m,b}})}{\mathit{{{\sum}_{m=1}^{5}}}(\mathit{Y}_{\mathit{m,j}|\mathit{X_{j}}}{-}\mathit{Y_{m,b}})}\)
⁠, where Ym,b is the background level of the mth metabolite, and the denominator term represents “total” metabolites from benzene. We assigned values to Ym,b using the median levels of Ym,j observed in the 60 control subjects with the lowest benzene exposures (E,E-muconic acid, 1.03 μmol/L; SPMA, 0.002 μmol/L; phenol, 54.4 μmol/L; catechol, 11.7 μmol/L; hydroquinone, 6.43 μmol/L; ref. 9). Dose-specific production (μmol/L/ppm benzene) of the mth metabolite in the jth subject was estimated as Ym,j|XjYm,b/Xj where Xj is that subject's benzene exposure. Negative values of (Ym,j|XjYm,b) in the above computations were replaced by zeros. Because the proportions of negative values increased rapidly with decreasing exposure levels below 0.03 ppm, molar fractions and dose-specific metabolite levels were only evaluated for subjects exposed to benzene at or above 0.03 ppm (n = 267). The following percentages of negative values were observed between 0.03 and 88.9 ppm: E,E-muconic acid, 0.29% and hydroquinone, 14.6%.

Uncertainties in the model predictions of dose-specific metabolite levels were evaluated via bootstrap resampling with 500 iterations (implemented with the SAS macro, %boot). The pool of all observed benzene exposures (each representing a different subject, n = 386) was sampled, with replacement, to select a reference group (the 60 lowest observations) and an exposed group (the 326 remaining observations). Data from the exposed group (n = 326 observations) were then used to construct NS models for the various metabolites, as described above for the original data set.

Natural Spline Models

After removal of nonsignificant terms from Model A, the following final versions of Model A were selected for the five metabolites (values of Y are in μmol/L, whereas those of X are in ppm):

where ξ1 = ln(0.004 ppm), ξ2 = ln(0.040 ppm), ξ3 = ln(0.513 ppm), ξ4 = ln(1.05 ppm), ξ5 = ln(2.37 ppm), and ξ6 = ln(13.8 ppm). These models are shown in Fig. 2A to E along with the corresponding 95% confidence intervals and the individual observations for the 326 subjects.

Figure 2.

Scatter plots of levels of benzene metabolites versus benzene exposure for 326 workers with the greatest air exposures to benzene (circles). Expected mean trends (solid curves) and their 95% confidence intervals (dashed curves) from natural spline models. MA, E,E-muconic acid; PH, phenol; CA, catechol; HQ, hydroquinone.

Figure 2.

Scatter plots of levels of benzene metabolites versus benzene exposure for 326 workers with the greatest air exposures to benzene (circles). Expected mean trends (solid curves) and their 95% confidence intervals (dashed curves) from natural spline models. MA, E,E-muconic acid; PH, phenol; CA, catechol; HQ, hydroquinone.

Close modal

Effects of Covariates

Effects of covariates, determined under Model B after adjustment for benzene exposure, are summarized in Table 2. Age and/or gender were important explanatory variables for all five metabolites, with males and older subjects typically having lower metabolite levels. Smokers had significantly higher levels of catechol and hydroquinone, whereas lean subjects (lower body mass index values) had significantly higher levels of catechol. Co-exposure to toluene was not significant in any of the models. Likewise, alcohol consumption was not a significant predictor of any benzene metabolite, either in all subjects (n = 326, including 95 current drinkers) or in male subjects (n = 118, including 88 current drinkers).

Table 2.

Effects of covariates on metabolite levels (after adjustment for benzene exposure)

MetaboliteAdjusted R2CovariateVariable estimate*P
MA 0.814 Intercept 1.11 <0.0001 
  Age −0.019 0.001 
  Sex (male) −0.275 0.013 
  BMI 0.011 0.350 
  Smoking 0.111 0.335 
SPMA 0.742 Intercept −6.19 <0.0001 
  Age −0.015 0.137 
  Sex (male) −0.447 0.035 
  BMI −0.017 0.466 
  Smoking 0.202 0.362 
PH 0.605 Intercept 4.21 <0.0001 
  Age −0.011 0.024 
  Sex (male) −0.211 0.031 
  BMI −0.003 0.768 
  Smoking 0.042 0.680 
CA 0.504 Intercept 2.65 <0.0001 
  Age −0.002 0.709 
  Sex (male) −0.256 0.008 
  BMI −0.021 0.049 
  Smoking 0.327 0.001 
HQ 0.69 Intercept 1.95 <0.0001 
  Age −0.011 0.015 
  Sex (male) −0.209 0.026 
  BMI −0.014 0.190 
  Smoking 0.356 0.0003 
MetaboliteAdjusted R2CovariateVariable estimate*P
MA 0.814 Intercept 1.11 <0.0001 
  Age −0.019 0.001 
  Sex (male) −0.275 0.013 
  BMI 0.011 0.350 
  Smoking 0.111 0.335 
SPMA 0.742 Intercept −6.19 <0.0001 
  Age −0.015 0.137 
  Sex (male) −0.447 0.035 
  BMI −0.017 0.466 
  Smoking 0.202 0.362 
PH 0.605 Intercept 4.21 <0.0001 
  Age −0.011 0.024 
  Sex (male) −0.211 0.031 
  BMI −0.003 0.768 
  Smoking 0.042 0.680 
CA 0.504 Intercept 2.65 <0.0001 
  Age −0.002 0.709 
  Sex (male) −0.256 0.008 
  BMI −0.021 0.049 
  Smoking 0.327 0.001 
HQ 0.69 Intercept 1.95 <0.0001 
  Age −0.011 0.015 
  Sex (male) −0.209 0.026 
  BMI −0.014 0.190 
  Smoking 0.356 0.0003 

NOTE: Age is centered around the mean of 30.2 years. For gender, female is the reference. Body mass index is centered around the mean of 22.5 kg/m2. For smoking, nonsmoker is the reference.

Abbreviations: MA, E,E-muconic acid; PH, phenol; CA, catechol; HQ, hydroquinone; BMI, body mass index.

*

Variables are based upon Model B where the natural log of a metabolite level (μmol/L) is regressed upon on the corresponding natural log of the benzene air concentration (ppm) plus significant knots and covariates.

Molar Fractions and Dose-Specific Metabolism

The background-adjusted urine concentration of the mth benzene metabolite in the jth subject [i.e., (Ym,j|XjYm,b) increased monotonically with benzene exposure from 0.03 to 88.9 ppm, as shown in Fig. 3A. The corresponding molar fractions [i.e.,

\(\frac{(Y_{m,j|X_{j}}{-}Y_{m,b})}{{{\sum}_{m=1}^{5}}(Y_{m,j|X_{j}}{-}Y_{m,b})}\)
] are plotted versus benzene exposure in Fig. 3B. Molar fractions for E,E-muconic acid and hydroquinone increased 3-fold (4-12%) and 4-fold (3-11%), respectively, with benzene exposure from 0.03 to 20 ppm, and then decreased with benzene exposure above 20 ppm. The molar fraction of phenol showed the opposite behavior, with reduction from about 88% to 68%, for benzene exposures between 0.03 and 20 ppm, followed by increases above 20 ppm. Molar fractions for catechol and SPMA remained fairly constant, at about 6% and <1%, respectively, over the whole range of benzene levels, with some upwards curvature above 20 ppm.

Figure 3.

Dose-dependent production of benzene metabolites. Expected mean trends from natural spline models applied to subjects with benzene exposures between 0.03 and 88.9 ppm (n = 267). A. Background-adjusted levels of benzene metabolites. B. Molar fractions of benzene metabolites.

Figure 3.

Dose-dependent production of benzene metabolites. Expected mean trends from natural spline models applied to subjects with benzene exposures between 0.03 and 88.9 ppm (n = 267). A. Background-adjusted levels of benzene metabolites. B. Molar fractions of benzene metabolites.

Close modal

As shown in Fig. 4, dose-specific metabolite levels [values of (Ym,j|Xj−Ym,b)/Xj], decreased with increasing benzene exposure for all but the minor product SPMA. At air concentrations above 20 ppm, shifts in dose-specific metabolism are apparent, with decreasing values for E,E-muconic acid and hydroquinone and increasing values for phenol, catechol, and SPMA. Uncertainties in model predictions of dose-specific metabolite levels are indicated in Fig. 4 by spaghetti plots from the 500 realizations of bootstrap resampling, along with interquartile ranges, and 95% confidence intervals. Although the 95% confidence intervals tended to be large for phenol, hydroquinone, and catechol at low benzene exposures (<0.1 ppm), interquartile ranges were very modest for all metabolites over the entire range of predicted benzene exposures (0.03-88.9 ppm). In addition, the median values from bootstrap analyses were very close to predictions from the NS models applied to the original 386 subjects in our study.

Figure 4.

Dose-specific levels (μmol/L/ppm) of benzene metabolites, predicted by natural spline models, for benzene exposures between 0.03 and 88.9 ppm. Expected mean trends from the model (red curves). Corresponding 50th percentiles of the sampling distributions of expected mean trends from 500 iterations of bootstrap resampling (yellow curves). The corresponding interquartile ranges (blue curves) and 95% confidence intervals (brown curves) of expected mean trends from bootstrap resampling are shown along with the individual iteration trajectories (gray curves).

Figure 4.

Dose-specific levels (μmol/L/ppm) of benzene metabolites, predicted by natural spline models, for benzene exposures between 0.03 and 88.9 ppm. Expected mean trends from the model (red curves). Corresponding 50th percentiles of the sampling distributions of expected mean trends from 500 iterations of bootstrap resampling (yellow curves). The corresponding interquartile ranges (blue curves) and 95% confidence intervals (brown curves) of expected mean trends from bootstrap resampling are shown along with the individual iteration trajectories (gray curves).

Close modal

This study of 386 workers in Tianjin, China represents the most extensive set of measurements reported to date for paired air and urine samples from benzene-exposed workers and matched controls. We previously published the empirical relationships between urinary metabolite levels and benzene exposure, based upon groups of these same subjects who had been aggregated by their exposure levels (9). Those preliminary analyses defined crude shapes of the exposure-biomarker relationships but did not permit expected metabolite levels to be predicted at given air concentrations of benzene, nor did they allow effects of age, gender, and other covariates to be estimated, after adjusting for benzene exposure. In the current study, we found that GLM + NS models were ideal for characterizing the continuous relationships between metabolite levels and benzene exposures (Fig. 2) and for testing effects of demographic factors (Table 2). Moreover, using GLM + NS models, we avoided problems that have plagued generalized additive models that apply backfitting algorithms (14, 21, 22).

Although various spline regression models have been applied to investigate covariates in time-to-health effects or survival analyses (11-14, 23-35), we are unaware of any such applications involving human metabolism or exposure-biomarker relationships. Because GLM + NS models are flexible and robust, they offer great promise as tools for investigating human metabolites and other biomarkers of environmental toxicants.

We used GLM + NS models to test for effects upon metabolite levels of several demographic factors (Table 2). Of the covariates considered, only age and/or gender consistently showed significant effects among the five metabolites, after adjustment for benzene exposure. Male subjects had exposure-adjusted metabolite levels that were about 20% lower than those of females. For example, males had 100 × (1 − e−0.209) = 18.9% less hydroquinone than females at a given exposure level. Likewise, levels of four metabolites (E,E-muconic acid, SPMA, phenol, and hydroquinone) diminished with age, at rates between 1.1% and 1.9% per year of life (Table 2). This range is the same as that reported for albumin adducts of benzene oxide and 1,4-benzoquinone in a different sample of Chinese workers exposed to benzene (36). Although we expected that co-exposure to toluene (a competitive inhibitor of benzene for CYP metabolism) would affect metabolite levels, this was not the case, possibly due to the relatively low toluene concentrations in our study (median, 3.29 ppm; 10th-90th percentile range, 0.012-21.9 ppm; n = 326).

After adjusting for benzene exposure, smoking subjects had about 40% higher levels of hydroquinone and catechol than nonsmokers (Table 2). Because significant smoking effects were not observed for E,E-muconic acid, SPMA, and phenol, we attribute this result to the uptake of hydroquinone and catechol per se from cigarette smoke (37-40). To quantify the contributions of hydroquinone and catechol derived per cigarette, we regressed the logged levels of hydroquinone and catechol on self-reported smoking frequencies in 131 control subjects, who provided this information. This resulted in the following relationships: ln(hydroquinone, μmol/L) = 1.79 + 0.021 (cigarettes per day; P < 0.01) and ln(catechol, μmol/L) = 2.41 + 0.011 (cigarettes per day; P = 0.19). Based upon these models, smoking 20 cigarettes would result in 52% more hydroquinone [i.e., 100 × (1 − e(0.021 × 20))%] and 20% more catechol than observed in nonsmoking control subjects.

Although background-adjusted levels of all metabolites increased monotonically with benzene exposures up to about 30 ppm (Fig. 3A), the molar fractions for phenol, hydroquinone, and E,E-muconic acid changed continuously with increasing air concentrations (Fig. 3B), whereas those for catechol and SPMA remained relatively constant. This indicates that the competing CYP-mediated pathways (Fig. 1) were sensitive to the air levels of benzene inhaled by these subjects. Below 20 ppm, molar fractions of hydroquinone and E,E-muconic acid increased with exposure, whereas those of phenol decreased with exposure; above 20 ppm, the opposite behavior was observed. Because production of hydroquinone and E,E-muconic acid was preferred to that of phenol (below 20 ppm), we infer that phenol and oxepin were either higher-affinity substrates than benzene for the particular CYP enzymes or were more accessible to these enzymes. This conjecture is supported by studies showing that KMs for CYP-mediated metabolism of phenol and oxepin were smaller than those of benzene in tissues from humans and/or animals (41-44). Above 20 ppm, the second CYP oxidation steps, leading to hydroquinone and E,E-muconic acid, seem to have become increasingly saturated; this led to the buildup of phenol and, to lesser extents, of catechol and SPMA (other products of a single CYP-oxidation step; ref. 45).

Using mean trends from the NS models (Fig. 4), we investigated dose-specific levels (μmol/L/ppm) of the five benzene metabolites and their sum (total metabolites). The spaghetti plots were dense along the observed mean trends, and interquartile ranges were relatively small. Wide 95% confidence bands were observed below about 0.1 ppm, due to the large relative errors from background subtraction in this region, particularly for phenol, hydroquinone, and catechol, which have important dietary and endogenous sources (39, 46, 47). However, given the narrow interquartile ranges, our conclusions regarding the mean trends should be reasonable. Overall, expected median values of dose-specific levels of total metabolites decreased about 9-fold between 0.03 and 88.9 ppm of benzene. For benzene exposures below 20 ppm, the decreasing trends were more pronounced for phenol and catechol (7- to 11-fold) than for hydroquinone and E,E-muconic acid (2- to 3-fold), reflecting the apparent preference for metabolism of the latter metabolites at low exposures (described above). At benzene exposures above 20 ppm, the trends accelerate downwards for E,E-muconic acid and hydroquinone and turn upwards for phenol and catechol, consistent with results from previous investigations of workers heavily exposed to benzene (16, 17, 48). The mean trend for the minor product SPMA increased over the observed range of exposures and, therefore, displayed completely different behavior than those of the major metabolites.

Interestingly, about 90% of the reductions in dose-specific metabolite levels occurred below about 3 ppm for each major product. This behavior was unexpected, given current toxicokinetic models that indicate that saturable benzene metabolism should not be observed below about 3 to 10 ppm in humans (49, 50). Thus, our results suggest that current toxicokinetic models for benzene are not accurate for air concentrations below 3 ppm.

It is also important to point out that human health risks associated with benzene exposure are based upon linear extrapolation from epidemiology studies involving workers exposed, on average, to air concentrations of tens to hundreds of ppm (3, 4). Our results indicate that persons exposed to air concentrations <0.1 ppm metabolize benzene about nine times more efficiently than such heavily exposed workers (see Fig. 4F). Because the toxic effects of benzene are thought to result from metabolism, this suggests that the health risks associated with low and very low benzene exposures can be considerably greater than those currently predicted from occupational studies.

Grant support: National Institute for Environmental Health Sciences grants P42ES05948 (S.M. Rappaport), P30ES10126 (S.M. Rappaport), RO1ES06721 (M.T. Smith), P42ES04705 (M.T. Smith), and P30ES01896 (M.T. Smith) and National Cancer Institute intramural funds.

The costs of publication of this article were defrayed in part by the payment of page charges. This article must therefore be hereby marked advertisement in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Note: S.M. Rappaport has received consulting fees from a plaintiff's attorney in a case involving exposure to benzene. M.T. Smith has received consulting and expert testimony fees from law firms representing both plaintiffs and defendants in cases involving exposure to benzene. G. Li has received funds from the American Petroleum Institute for consulting on benzene-related health research.

1
Wallace L. Environmental exposure to benzene: an update.
Environ Health Perspect
1996
;
104
Suppl 6:
1129
–36.
2
ATSDR. Toxicological profile for benzene. In: US DHHS. PB/98/101157/AS: Agency for Toxic Substances and Disease Registry; 1997.
3
Hayes RB, Yin SN, Dosemeci M, et al. Benzene and the dose-related incidence of hematologic neoplasms in China. Chinese Academy of Preventive Medicine-National Cancer Institute Benzene Study Group.
J Natl Cancer Inst
1997
;
89
:
1065
–71.
4
Savitz DA, Andrews KW. Review of epidemiologic evidence on benzene and lymphatic and hematopoietic cancers.
Am J Ind Med
1997
;
31
:
287
–95.
5
Lan Q, Zhang L, Li G, et al. Hematotoxicity in workers exposed to low levels of benzene.
Science
2004
;
306
:
1774
–6.
6
Ross D. The role of metabolism and specific metabolites in benzene-induced toxicity: evidence and issues.
J Toxicol Environ Health A
2000
;
61
:
357
–72.
7
Snyder R. Overview of the toxicology of benzene.
J Toxicol Environ Health A
2000
;
61
:
339
–46.
8
Snyder R. Xenobiotic metabolism and the mechanism(s) of benzene toxicity.
Drug Metab Rev
2004
;
36
:
531
–47.
9
Kim S, Vermeulen R, Waidyanatha S, et al. Using urinary biomarkers to elucidate dose-related patterns of human benzene metabolism.
Carcinogenesis
2006
;
27
:
772
–81.
10
Harrell FE. Regression modeling strategies: with applications to linear models, logistic regression, and survival analysis. New York: Springer; 2001.
11
Heuer C. Modeling of time trends and interactions in vital rates using restricted regression splines.
Biometrics
1997
;
53
:
161
–77.
12
Durrleman S, Simon R. Flexible regression models with cubic splines.
Stat Med
1989
;
8
:
551
–61.
13
Samoli E, Analitis A, Touloumi G, et al. Estimating the exposure-response relationships between particulate matter and mortality within the APHEA multicity project.
Environ Health Perspect
2005
;
113
:
88
–95.
14
Dominici F, McDermott A, Zeger SL, Samet JM. On the use of generalized additive models in time-series studies of air pollution and health.
Am J Epidemiol
2002
;
156
:
193
–203.
15
Vermeulen R, Li G, Lan Q, et al. Detailed exposure assessment for a molecular epidemiology study of benzene in two shoe factories in China.
Ann Occup Hyg
2004
;
48
:
105
–16.
16
Waidyanatha S, Rothman N, Fustinoni S, et al. Urinary benzene as a biomarker of exposure among occupationally exposed and unexposed subjects.
Carcinogenesis
2001
;
22
:
279
–86.
17
Waidyanatha S, Rothman N, Li G, Smith MT, Yin S, Rappaport SM. Rapid determination of six urinary benzene metabolites in occupationally exposed and unexposed subjects.
Anal Biochem
2004
;
327
:
184
–99.
18
Hornung RW, Reed LD. Estimation of average concentration in the presence of nondetectable values.
Appl Occup Environ Hyg
1990
;
5
:
46
–51.
19
Marsh LC. Estimating the Number and Location of Knots in Spline Regressions.
Journal of Applied Business Research
1986
;
3
:
60
–70.
20
Burnham KP, Anderson DR, Burnham KP. Model selection and multimodel inference: a practical information-theoretic approach. 2nd ed. New York: Springer; 2002.
21
Ramsay TO, Burnett RT, Krewski D. The effect of concurvity in generalized additive models linking mortality to ambient particulate matter.
Epidemiology
2003
;
14
:
18
–23.
22
He S, Mazumdar S, Arena VC. A comparative study of the use of GAM and GLM in air pollution research.
Environmetrics
2006
;
17
:
81
–93.
23
Hess KR. Assessing time-by-covariate interactions in proportional hazards regression models using cubic spline functions.
Stat Med
1994
;
13
:
1045
–62.
24
Herndon JE III, Harrell FE, Jr. The restricted cubic spline as baseline hazard in the proportional hazards model with step function time-dependent covariables.
Stat Med
1995
;
14
:
2119
–29.
25
Jemal A, Graubard BI, Devesa SS, Flegal KM. The association of blood lead level and cancer mortality among Whites in the United States.
Environ Health Perspect
2002
;
110
:
325
–9.
26
Zhang D, Lin X, Sowers M. Semiparametric regression for periodic longitudinal hormone data from multiple menstrual cycles.
Biometrics
2000
;
56
:
31
–9.
27
Royston P. Choice of scale for cubic smoothing spline models in medical applications.
Stat Med
2000
;
19
:
1191
–205.
28
Heinzl H, Kaider A. Gaining more flexibility in Cox proportional hazards regression models with cubic spline functions.
Comput Methods Programs Biomed
1997
;
54
:
201
–8.
29
Binquet C, Wallon M, Quantin C, et al. Prognostic factors for the long-term development of ocular lesions in 327 children with congenital toxoplasmosis.
Epidemiol Infect
2003
;
131
:
1157
–68.
30
Vogt TM, Ziegler RG, Graubard BI, et al. Serum selenium and risk of prostate cancer in U.S. Blacks and Whites.
Int J Cancer
2003
;
103
:
664
–70.
31
Mar TF, Ito K, Koenig JQ, et al. PM source apportionment and health effects. 3. Investigation of inter-method variations in associations between estimated source contributions of PM(2.5) and daily mortality in Phoenix, AZ.
J Expo Anal Environ Epidemiol
2005
;
16
:
311
–20.
32
Little RJ, An H, Johanns J, Giordani B. A comparison of subset selection and analysis of covariance for the adjustment of confounders.
Psychol Methods
2000
;
5
:
459
–76.
33
Samoli E, Touloumi G, Zanobetti A, et al. Investigating the dose-response relation between air pollution and total mortality in the APHEA-2 multicity project.
Occup Environ Med
2003
;
60
:
977
–82.
34
European_Collaborative_Study. Are there gender and race differences in cellular immunity patterns over age in infected and uninfected children born to HIV-infected women?
J Acquir Immune Defic Syndr
2003
;
33
:
635
–41.
35
HEI. Revised analyses of time-series studies of air pollution and health. Special report. Boston (MA): Health Effects Institute; 2003.
36
Rappaport SM, Waidyanatha S, Qu Q, et al. Albumin adducts of benzene oxide and 1,4-benzoquinone as measures of human benzene metabolism.
Cancer Res
2002
;
62
:
1330
–7.
37
McCue JM, Lazis S, John Cohen J, Modiano JF, Freed BM. Hydroquinone and catechol interfere with T cell cycle entry and progression through the G1 phase.
Mol Immunol
2003
;
39
:
995
–1001.
38
Hecht SS, Carmella S, Mori H, Hoffmann D. A study of tobacco carcinogenesis. XX. Role of catechol as a major cocarcinogen in the weakly acidic fraction of smoke condensate.
J Natl Cancer Inst
1981
;
66
:
163
–9.
39
McDonald TA, Holland NT, Skibola C, Duramad P, Smith MT. Hypothesis: phenol and hydroquinone derived mainly from diet and gastrointestinal flora activity are causal factors in leukemia.
Leukemia
2001
;
15
:
10
–20.
40
IARC. Tobacco smoking. Lyon (France): WHO, IARC; 1986.
41
Snyder R, Chepiga T, Yang CS, Thomas H, Platt K, Oesch F. Benzene metabolism by reconstituted cytochromes P450 2B1 and 2E1 and its modulation by cytochrome b5, microsomal epoxide hydrolase, and glutathione transferases: evidence for an important role of microsomal epoxide hydrolase in the formation of hydroquinone.
Toxicol Appl Pharmacol
1993
;
122
:
172
–81.
42
Medinsky MA, Sabourin PJ, Lucier G, Birnbaum LS, Henderson RF. A physiological model for simulation of benzene metabolism by rats and mice.
Toxicol Appl Pharmacol
1989
;
99
:
193
–206.
43
Schlosser PM, Bond JA, Medinsky MA. Benzene and phenol metabolism by mouse and rat liver microsomes.
Carcinogenesis
1993
;
14
:
2477
–86.
44
Seaton MJ, Schlosser PM, Bond JA, Medinsky MA. Benzene metabolism by human liver microsomes in relation to cytochrome P450 2E1 activity.
Carcinogenesis
1994
;
15
:
1799
–806.
45
Henderson AP, Barnes ML, Bleasdale C, et al. Reactions of benzene oxide with thiols including glutathione.
Chem Res Toxicol
2005
;
18
:
265
–70.
46
National Library of Medicine. Hazardous Substances Data Bank (HSDB) Fact Sheet. 2003.
47
EPA. The Integrated Risk Information System (IRIS) Database for Risk Assessment. 2006.
48
Rothman N, Bechtold WE, Yin SN, et al. Urinary excretion of phenol, catechol, hydroquinone, and muconic acid by workers occupationally exposed to benzene.
Occup Environ Med
1998
;
55
:
705
–11.
49
Travis CC, Quillen JL, Arms AD. Pharmacokinetics of benzene.
Toxicol Appl Pharmacol
1990
;
102
:
400
–20.
50
Rappaport SM, Kupper LL, Lin YS. On the importance of exposure variability to the doses of volatile organic compounds.
Toxicol Sci
2005
;
83
:
224
–36.