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1
Department of Laboratory Medicine and Pathology, School of Medicine, and
2
Division of Epidemiology, School of Public Health, University of Minnesota, Minneapolis, MN 55455.
a Address correspondence to this author, at: Box 609 Mayo, Department of Laboratory Medicine and Pathology, University of Minnesota Hospital and Clinics, Minneapolis, MN 55455. Fax 612-625-6994; e-mail gargx002{at}maroon.tc.umn.edu
| Abstract |
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Key Words: indexing terms: hyperhomocysteinemia cardiovascular diseases variation, source of reliability coefficient
| Introduction |
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To correctly classify an individual on the basis of laboratory measurement of any disease-related risk factor or to monitor therapy by measurement of that risk factor, in this case homocysteine, knowledge of within-person and methodological variability is extremely important. Analytes with large within-person and methodological variability almost always show weak associations with any given disease. Although between-person variability data for homocysteine have been reported in the literature (7)(8), data for within-person variability are not available. In the present study, we report within-person, between-person, and methodological variances for plasma homocysteine.
| Materials and Methods |
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experimental design
For estimation of short-term sources of variability, the 160
aliquots from week 1 through week 4 were randomized and divided into 4
batches of 40. Different batches were run at least 1 week apart. For
long-term, within-person variability, duplicate samples from 9
participants were run along with their respective samples from week 2.
To verify methodological analytical stability, the mean difference
between samples from week 2 measured at two occasions was calculated
and was 0.24 µmol/L (95% confidence interval: -0.33, 0.79).
analysis of homocysteine
Total homocysteine was measured by the method of Ubbink et al.
(9), with minor modifications. To 150 µL of plasma we
added 10 µL of internal standard [0.1 mmol/L
N-(2-mercaptopropionyl)-glycine] and 20 µL of reducing
agent (tri-n-butylphosphine, 100 mL/L in dimethylformamide)
and incubated the mixture at 4 °C for 30 min. Proteins were
precipitated by addition of 150 µL of cold trichloroacetic acid (100
g/L) in 1 mmol/L EDTA solution, and the protein-free supernatant was
obtained by centrifugation at ~10 000g for 5 min. To
derivatize the thiols (including homocysteine) in 100 µL of clear
supernatant, we added 100 µL of a thiol-specific reagent, ammonium
7-fluorobenzo-2-oxa-1,3-diazole-4-sulfonate, 1.0 g/L in borate buffer
(20 µL of 1.55 mol/L sodium hydroxide and 250 µL of 0.125 mol/L
borate buffer in 4 mmol/L EDTA, pH 9.5), and heated this for 1 h
at 60 °C.
The chromatographic system consisted of a 15 x 4.6 mm Supelco (Bellefonte, PA) LC-18-DB reversed-phase column, a Varian (Palo Alto, CA) 5000 pump, a Waters (Milford, MA) WISP 710B autoinjector, and GTI/SpectroVision FD-100 fluorescence detector (GTI, Concord, MA). The mobile phase consisted of 0.1 mol/L phosphate buffer (pH 2.05) and acetonitrile (95:5, by vol), and the flow rate was 2 mL/min. After we injected 40 µL of derivatized samples into the column, the intensities of the fluorescence emission were measured at 515 nm (excitation at 385 nm). DL-Homocysteine (Sigma Chemical Co., St. Louis, MO) working calibrators (5, 10, 20, 40, 80, 100, and 200 µmol/L) were prepared freshly from 1 mmol/L stock that was kept at -70 °C. To determine the concentrations of plasma homocysteine, automatically calculated by the integrator (Hewlett-Packard, San Fernando, CA), we used the power equation, y = kxm. We preferred this equation over the simple straight-line equation (y = mx + c) because with the linear equation, for unexplained reasons, the homocysteine concentration appeared to increase very slightly at the high end of the calibration range, giving a slightly higher increase in fluorescence per unit concentration of homocysteine in that region. Furthermore, with a power equation, the calibration curve always passed through the origin (i.e., intercept = 0), which experimentally appeared to be the case at very low homocysteine concentrations. With the power equation, the values for the squared multiple correlation coefficient (r2) were >0.99.
statistical analysis
The statistical analysis was performed with the SAS program (SAS,
Cary, NC). The mean concentrations of plasma homocysteine in all the
samples were calculated and were compared by sex and age groups with
use of the t-test. We use the Pearson correlation and linear
regression models to examine the association of plasma homocysteine
concentrations with age and sex.
For statistical analysis of short-term data, we used a nested random
effects analysis of variance model (10)(11) in
which we assumed a standard constant variance; i.e., both within-person
and method variances were constant over the entire range of analyte
concentrations. With this model, one can break down the total
population variance into three componentsbetween-person (BP)
variance, within-person (WP) variance, and methodological (M)
varianceand calculate as follows:
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The reliability coefficient (R), used widely in epidemiology
literature, is the ratio of between-person variance to total observed
population variance and was also computed from the above variance
components, as follows:
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We also computed a closely related measure that is more widely used in
the clinical chemistry literature, the index of individuality, as
SD(WP + M)/SDBP, where SDBP is
(
2BP)1/2 and SD(WP +M) is
(
2WP +
2M)1/2.
The minimum real change detectable with 95% confidence in two
sequential homocysteine measurements for a single patient was also
calculated (14) from within-person and methodological
variances, as 2.77(
2WP +
2M)1/2.
Because there was no systematic change in plasma homocysteine values in nine participants examined after 30 months, we also used the nested random effects analysis of variance model to estimate the long-term reliability of measurement.
| Results |
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45 (P = 0.7). In women of those ages, the means
were 9.65 and 7.04 µmol/L, respectively (P <0.001). The
Pearson correlation coefficient between age and homocysteine
concentration was 0.24 (P <0.01). Linear regression showed
that both age and sex were significantly associated with plasma
homocysteine concentrations.
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Between-person variance was relatively high, whereas within-person and
methodological variances were relatively very low. The short-term
reliability coefficient (R) of homocysteine therefore was excellent,
with R = 0.94 for the entire group of participants. It remained
high, even when the homocysteine concentrations were analyzed by age
(R = 0.96 and 0.85 for men and 0.90 and 0.89 for women, for ages
45 and >45, respectively) and sex (0.96 for men and 0.92 for women).
The high short-term repeatability was also reflected in the CV, the
index of individuality, and the minimum detectable difference.
In the long-term variability study (Fig. 1
), we determined that the mean difference in plasma homocysteine
concentration for 9 participants at 30 months vs week 2 was -0.03
µmol/L (95% confidence interval: -1.25, 1.19); excluding one
outlier, it was 0.52 (-0.13, 1.17). The reliability coefficient
remained high (R = 0.65 for all 9 participants, 0.82 after
excluding the outlier).
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Because the within-person SDs were not homogeneous, we also calculated
the critical differences at CVp50 and
CVp90. dk50 and dk90 were 24.6%
and 32.0%, respectively (Table 1
).
| Discussion |
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The reliability coefficient, the ratio of between-person variance to the total observed population variance, is numerically equivalent to the correlation coefficient of repeated measurements made on blood collected and analyzed in a laboratory at multiple time points; it can vary from 0 to 1. Values approaching unity are desired. For an analyte with very high reliability coefficient, a single measurement of the analyte in a study participant will correctly classify that participant with respect to his or her short-term average analyte concentration, which Fraser and Harris have termed an individual's "homeostatic set point" (15). On the other hand, if the reliability coefficient is low, a single measurement of the analyte may not predict the real concentration or change in analyte concentration and thus may not predict disease occurrence. Previous studies from our laboratory and others have shown that reliability coefficients for commonly used chemistry analytes fall between 0.6 and 0.9 (16).
In this study, the short-term reliability coefficient for homocysteine was high (R = 0.94) relative to many more common chemistry analytes (16), suggesting that, in the short-term, single homocysteine measurements may classify persons with respect to their average plasma homocysteine concentrations quite well. In other words, a typical individual's homocysteine results appear to stay within a relatively narrow range for at least 1 month. This situation is also delineated by the low value of index of individuality (0.25). As might be expected, the long-term (30 months) reliability coefficient for homocysteine was lower (R = 0.65), although this finding was based on results for only nine subjects. This result may be due to long-term variations in diet, particularly the intake of certain vitamins (pyridoxine, folate, and vitamin B12) that are obligate cofactors of enzymes in the homocysteine metabolic pathways (2)(5)(17). Just as Andersson et al. had reported earlier (7), we also found higher concentrations of homocysteine in men than in women, as well as higher concentrations in the subjects older than 45 years vs those younger than 45.
Several methods for homocysteine measurement are available
(5)(18)(19)(20)(21), and our methodological
variances are comparable with the variances reported by others.
Homocysteine measurement, like many analytes measured in clinical
laboratories, does not quite meet the widely quoted goal for analytical
precision (i.e., methodological total SDs should be <0.5 within-person
SD: CVM
0.5 CVWP); nonetheless, we consider
its precision to be reasonably acceptable clinically. Efforts for
improving homocysteine measurements and reducing methodological SDs
should continue to make a single measurement of homocysteine more
reliable.
In conclusion, the high reliability coefficient shows that homocysteine concentrations in an individual are relatively constant, such that a single measurement well characterizes an individual's average concentration of homocysteine over at least 1 month. Even the long-term reliability (over a 30-month period) is relatively high.
| Acknowledgments |
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| References |
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