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CLINICAL RESEARCH |
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* Department of Physiology and Nephrology, Hôpital Européen George Pompidou, Assistance Publique-Hôpitaux de Paris;
Faculté de Médecine, Université Paris Descartes;
Department of Physiology and Nephrology, Hôpital Tenon, Assistance Publique-Hôpitaux de Paris; Faculté de Médecine, Université Pierre et Marie Curie; and INSERM U702; || INSERM U872; and 
Department of Physiology, Hôpital Necker, Assistance Publique-Hôpitaux de Paris, Paris;
INSERM U780; and ** Université Paris-Sud, IFR 69, Villejuif; and ¶ Clinique de l'Orangerie, Aubervilliers, France
Correspondence: Dr. Pascal Houillier, Département de Physiologie, Hôpital Européen Georges Pompidou, 20-40 rue Leblanc, F-75015 Paris, France. Phone: 33-1-56-09-39-72; Fax: 33-1-56-09-26-75; E-mail: pascal.houillier{at}egp.aphp.fr; or Marc Froissart, Département de Physiologie, Hôpital Européen Georges Pompidou, 20-40 rue Leblanc, F-75015 Paris, France. Phone: 33-1-56-09-39-73; Fax: 33-1-56-09-26-75; E-mail: marc.froissart{at}egp.aphp.fr
Received for publication April 13, 2007. Accepted for publication February 19, 2008.
| Abstract |
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| Introduction |
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More recently, Kidney Disease: Improving Global Outcomes (KDIGO) published a position statement on the definition, evaluation, and classification of bone and mineral disorders.4 It is acknowledged that measurement of iCa is the preferred method for evaluating serum Ca and that, if total serum Ca concentration is used instead, it should be corrected for albumin when plasma albumin concentration is low. The position statement also acknowledges that it is necessary to assess the respective performances of albumin-corrected and noncorrected tCa concentrations in predicting the actual concentration of iCa.4 In this study, we compared the respective performances of noncorrected and albumin-corrected tCa in predicting low, normal, or high serum concentrations of iCa.
| RESULTS |
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Relationships between iCa, Noncorrected tCa, and Albumin-Corrected tCa Concentrations
The relations between noncorrected Ca, albumin-corrected Ca, and iCa concentrations, all expressed as z scores (see the Concise Methods section), are depicted in Figure 1. Regardless of correction for albumin concentration, individual points were widely scattered around the regression line, and the slope of the regression line was <0.5; the range of iCa values around the mean was more than twice as high as the range of either noncorrected or albumin-corrected Ca values. Standard regression analyses of these relationships showed only modest correlation between iCa and either noncorrected or albumin-corrected tCa concentrations.
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coefficient, showing only a fair agreement between tCa and iCa (Table 3).
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To identify potential predictors of misclassification, we compared, as groups, patients with an agreement between noncorrected tCa and iCa values and patients without such agreement (when noncorrected Ca either over- or underestimated iCa; Supplemental Table 1). Taking patients with agreement between tCa and iCa as reference group, mean GFR values, tCO2, and albumin concentrations were significantly lower in patients in whom tCa underestimated iCa. By contrast, mean age was higher and mean albumin concentration was lower in patients in whom tCa overestimated iCa. No such difference was observed for plasma phosphate concentration.
Identification of Factors Associated with the Low Predictive Performance of tCa
Table 4 displays the factors identified as predicting misclassification (and odds ratio) when noncorrected tCa was used instead of iCa. We studied the variables that significantly differed between patients with and without agreement. In multivariate analysis, the risk for underestimation was significantly increased only by lower albumin and tCO2 concentrations, whereas none of the variables studied predicted the risk for overestimation. Because there was no difference in plasma phosphate concentration between patients with and without agreement, the logistic regression analysis did not include plasma phosphate as a factor.
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We also performed the analysis after excluding patients with plasma albumin concentration <30 or >50 g/L (Supplemental Table 2). In those patients, plasma albumin concentration was not any more a risk factor for underestimation. This might indicate that patients with albumin concentration >30 g/L do not need correction for albumin.
To provide a more quantitative analysis and evaluate whether the results of the logistic regression could be the consequence of the arbitrary cutoffs for normal used in the logistic regression, we performed multivariate linear regression analysis to identify the determinants of noncorrected tCa, expressed as z score (Supplemental Table 3). The purpose was to identify which variables determined, besides iCa expressed as z score, how extreme tCa was compared with the normal range. The analysis included the same factors as in Table 4. When tCa underestimated iCa (z score tCa – z score iCa <0), iCa, albumin and tCO2 concentrations, and age were positively correlated with tCa: A lower tCa was independently predicted by lower iCa, plasma albumin or tCO2 concentrations, and younger age. When tCa overestimated iCa (difference in z scores >0), no variable but iCa correlated with tCa. The results of the linear regression analysis were thus consistent with those of the logistic regression analysis.
Tables 5 and 6 display the results of univariate and multivariate logistic regression analysis predicting under- or overestimation when albumin-corrected tCa, formula 1 or 2, respectively, was used instead of iCa. In multivariate analysis, the risk for underestimation was increased only by lower tCO2 concentration. The risk for overestimation was increased by lower albumin concentration. In multivariate linear regression analyses (Supplemental Tables 4 [dependent variable: z score albumin-corrected tCa, formula 1] and 5 [dependent variable: z score albumin-corrected tCa, formula 2]), iCa, age, and tCO2 concentration but not albumin significantly correlated with albumin-corrected tCa, formula 1 or 2, when albumin-corrected tCa underestimated iCa. When albumin-corrected tCa overestimated iCa, iCa positively correlated with albumin-corrected tCa, formulas 1 and 2, and albumin negatively correlated only with albumin-corrected tCa, formula 2.
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| DISCUSSION |
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The K/DOQI clinical practice guidelines recommend measurement of tCa because of poor reproducibility of iCa measurement, easier performance in clinical practice, and lower cost. In fact, reliable measurement of iCa is more demanding than that of tCa and requires appropriate sampling and handling. Blood should be sampled anaerobically, and the measurement should be performed as soon as possible to avoid loss of CO2 from the sample with subsequent changes in pH. When samples are handled in this way, the pH of the sample is in fact very close to the actual extracellular pH of the patient, and the day-to-day reproducibility of iCa measurement is quite good with a variation coefficient <2%, very similar to that of tCa.5–9 K/DOQI guidelines also recommend correction for albumin when plasma albumin concentration is low and provide two formulas for the correction.
In this study, the diagnostic performances of noncorrected and albumin-corrected tCa in predicting low, normal, or high values of iCa are rather low. Particularly, the performances in recognizing abnormalities of iCa concentration (hypo- or hypercalcemia) are dramatically weak: Approximately one third of patients with hypocalcemia only and one fifth of patients with hypercalcemia only had a correct diagnosis on the basis of the measurement of tCa.
By both logistic and linear regression analyses, we found that low albumin and tCO2 concentrations were independent risk factors of underestimation of blood Ca concentration when noncorrected tCa was measured. GFR, a significant risk factor for underestimation in univariate logistic analysis, was no more significant in multivariate analysis; the likely reason is that the prevalence of low tCO2 concentration increases with decreasing GFR, accounting for the association between GFR and the risk for underestimation. Low plasma pH is also an independent factor predicting underestimation; however, in our model, tCO2 concentration was a better predictor than plasma pH, suggesting that pH measurement is less reliable than tCO2 measurement. Younger age was also a factor of underestimation, in linear regression analysis only, but we unfortunately have no explanation to provide.
That low albumin and low tCO2 concentrations are independent risk factors for underestimation was expected because, in steady state, both factors decreased the amount of albumin-bound Ca without affecting the iCa concentration. Interestingly, when we analyzed the performance of noncorrected tCa, restricted to patients with albumin concentration between 30 and 50 g/L, plasma albumin concentration no longer predicted underestimation. Accordingly, when the performances of albumin-corrected tCa were evaluated, the sole independent risk factor of underestimation (besides age in linear regression analysis) was lower tCO2 concentration: Formulas 1 and 2 efficiently correct tCa concentration for low albumin concentration, but they did not improve prediction of iCa concentration because they did not take into account tCO2. In fact, the percentage of patients in whom noncorrected Ca or albumin-corrected Ca, formula 1 or 2, underestimated iCa was similar (Table 3). More generally speaking, these results suggest that a formula that does not correct tCa for both low albumin and low tCO2 concentrations fails to predict accurately the iCa concentration, at least when used in patients with stages 3 to 5 CKD.
Interestingly, low albumin concentration also was a risk factor of overestimation when formula 1 (in logistic regression only) or 2 (in both logistic and linear regressions) was used as estimators of blood Ca concentration. This indicates that both formulas may overcorrect Ca concentration.
Two recently published studies assessed the performance of albumin-corrected tCa in the diagnosis of blood Ca disturbances in dialysis patients.10,11 The authors of the first report, based on 50 patients, concluded that none of the published formulas improved the performance beyond that of noncorrected tCa.10 The authors of the second report, based on 34 patients, found, as in this study, that the use of albumin-corrected Ca led to an underestimation of the prevalence of hypocalcemia and an overestimation of the prevalence of hypercalcemia.11 Accordingly, the authors concluded that the use of albumin-corrected Ca may lead to inappropriate clinical decisions.
To our knowledge, ours is the first report on the performance of noncorrected and albumin-corrected tCa in a large cohort of patients with stages 3 to 5 CKD, excluding dialysis patients. As in the latter, we observed that correction for albumin did not improve the diagnostic performance of tCa. Likely, the main reason is that the correction formulas were developed in unselected patients, not specifically devoted to patients with CKD. That low tCO2 concentration was as prevalent in our population as low albumin concentration clearly is key to the observation that albumin-based formulas do not improve the prediction of abnormal iCa concentration. The consequence is that 60 to 70% of patients with CKD and hypocalcemia and almost 80% of patients with CKD and hypercalcemia would not receive an appropriate treatment in the absence of iCa measurement.
In conclusion, neither noncorrected nor albumin-corrected tCa seems to predict correctly low or high iCa concentrations in patients with stages 3 to 5 CKD. The main reason is that none of these estimators provides a correction for the prevalent metabolic acidosis, which increases the risk for underestimation, and that albumin-based correction formulas overcorrect tCa concentration, increasing the risk for overestimation; therefore, we propose not using albumin-corrected tCa in patients with CKD. An accurate assessment of blood Ca concentration requires the measurement of iCa at actual pH in patients with low tCO2 and/or plasma albumin concentrations.
| CONCISE METHODS |
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Venous blood was collected in the morning after overnight fasting through an indwelling catheter inserted in a large vein of the forearm. Whenever possible, a tourniquet was not applied. When necessary, it was released at least 1 min before blood collection. Blood for Ca measurement was collected in a nonheparinized, dry tube. All other samples were collected in heparinized tubes. Samples were handled on ice until centrifugation within 30 min after sampling. Serum was anaerobically sampled from the tube for immediate measurement of iCa concentration. Plasma tCa and albumin concentrations were measured on the same day. The remaining plasma was aliquotted and kept frozen at –20°C until measurement.
For verification that collection in nonheparinized, dry tubes did not affect the pH of the sample, blood was also collected from 61 unselected consecutive patients, at the same time, on a self-filling blood sampler containing 60 IU of balanced heparin, transported on ice to the laboratory, and immediately assayed on the same gas analyzer. The mean difference in pH measured in the two samples was 0.01 ± 0.02 pH units, and the mean difference in PaCO2 was 1.3 ± 3.1 mmHg. After blood sampling, renal clearance of (51)Cr-EDTA was determined as described previously.12–13
Analytical Methods
iCa concentration, pH and PCO2 were measured on an ABL 555 analyzer (Radiometer, Copenhagen, Denmark). The considered value of iCa concentration was that measured at the actual pH of the patient, not the calculated value, corrected for pH 7.4. Plasma tCa was measured by atomic absorption spectrometry (Model 3110; Perkin-Elmer, Norwalk, CT) and plasma albumin and phosphate by colorimetric methods (bromocresol green for albumin and phosphomolybdate complex for phosphate). Plasma tCO2 concentration was measured by a specific electrode. Coefficients of variation (between-assay) were 0.9 ± 0.2% for tCa and 1.1 ± 0.4% for iCa.
Calculations
Albumin-corrected Ca was calculated according to the two formulas provided in the K/DOQI guidelines3:
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Statistical Analysis
Normally distributed variables were expressed as means ± SD and compared with one-way ANOVA; intergroup comparisons were performed by unpaired t test and Bonferroni correction for the level of significance. Categorical variables are presented as distribution (i.e., frequencies and percentages) and compared with
2 test. Measured GFR was used as a continuous variable.
Each patient was classified into one of three categories (hypocalcemia, hypercalcemia, or normal Ca concentration) on the basis of iCa measurement. When the patient could be classified in the same category on the basis of tCa (either albumin corrected or noncorrected), both values were considered in agreement; otherwise, tCa either overestimated (high tCa and normal iCa concentrations, or normal tCa and low iCa concentrations) or underestimated (low tCa and normal iCa concentrations, or normal tCa and high iCa concentrations). The global performance of tCa to predict low, normal, or high iCa concentration was assessed using
test.16 The sensitivity and specificity of each estimator to diagnose true hypo- or hypercalcemia was also calculated. Univariate and multivariate logistic regression analyses were performed to investigate the predictors of underestimation and overestimation.
For comparison of iCa and tCa (either albumin corrected or noncorrected), values were normalized by conversion to a z score allowing direct comparison of values that have different normal ranges. Z score calculations were performed as follows10: The lower and upper values of the normal range (1.15 and 1.32 mmol/L for iCa; 2.10 and 2.53 mmol/L for tCa) were treated as a 95% confidence interval and used to calculate mean and SD. Each measured value was then converted to a z score using the formula z score = (measured Ca – mean Ca)/SD.
The lack of agreement between tCa and iCa was separately quantified by the calculation of the difference between tCa and iCa, both expressed as z scores. A negative difference meant underestimation and a positive difference overestimation. Multivariate linear regression analyses were performed to identify the determinants of tCa (either noncorrected or albumin corrected) expressed as z score.
P < 0.05 was considered statistically significant. Statistical analyses were performed using SAS software, version 9.1 (SAS institute, Cary, NC).
| DISCLOSURES |
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| Acknowledgments |
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| Footnotes |
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Supplemental information for this article is available online at http://www.jasn.org/.
| REFERENCES |
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