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BY 4.0 license Open Access Published by De Gruyter August 3, 2023

Week-to-week within-subject and between-subject biological variation of copeptin

  • Nora Alicia Guldhaug ORCID logo , Eirik Åsen Røys ORCID logo , Kristin Viste , Per Medbøe Thorsby , Marit Sverresdotter Sylte , Janniche Torsvik , Heidi Strand , Bashir Alaour , Michael Marber , Torbjørn Omland and Kristin Moberg Aakre ORCID logo EMAIL logo

To the Editor,

Copeptin is used as a sensitive surrogate marker of ADH (antidiuretic hormone) when investigating fluid imbalance such as in diabetes insipidus, SIADH (syndrome of inappropriate antidiuretic hormone secretion) and psychogenic polydipsia [1]. Unlike ADH, Copeptin concentration is stable in plasma [2]. Copeptin and ADH originate from the molecule pre-pro-vasopressin and are co-secreted in equimolar amounts. Plasma osmolality, hypovolemia and stress determine the secretion of both peptides from the neurohypophysis. Before implementation of high sensitivity cardiac troponin copeptin was suggested as an acute chest pain biomarker [2], and has recently evolved as a promising stroke marker [3].

Understanding the biological variation (BV) of copeptin and its components within-subject (CVI) and between-subject (CVG) variation has several applications, including the interpretation of test results, suggesting analytical performance specifications, determining sample size for steady-state concentration, calculating the reference change value (RCV) and the index of individuality (II). RCV is used to assess the significance of a change in serial measurements, whereas II is useful for determining whether the change in serial measurements rather than the reference intervals should be used to evaluate if the patient could be in a physiological vs. pathological status.

The European Federation of Laboratory Medicine (EFLM) variation database provides BV data and a checklist for studies estimating BV [4]. EFLM recommend BV estimations using ANOVA analysis with outlier exclusion [4], and the Bayesian approach for the estimation of BV was recently suggested [5]. This study aims to establish the week-to-week biological variation of copeptin using both ANOVA and the Bayesian methods.

This study was performed in accordance with the Declaration of Helsinki (REC ID number 2018/92 for Bergen and Oslo and South Central – Berkshire Research Ethics Committee for London) and EFLM checklist for biological variation studies (BIVAC) [4] and has been described earlier [6, 7]. A total of 30 presumably healthy volunteers were recruited from three different centers. The age range of the participants were 21–64 years (mean 38 years), and 8 of 16 women were presumed fertile. Weekly venous blood samples were collected for ten consecutive weeks, plasma was frozen at −80 °C and later analyzed for copeptin in one run at the Hormone Laboratory at Oslo University Hospital using a compact PLUS Copeptin proAVP Kryptor Kit (Brahms Kryptor, Thermo Fisher Scientific). The limit of detection (LoD) was 0.69 pmol/L, limit of quantification (LoQ) 1.1 pmol/L and long-term analytical variation (CVA) was 7 % at 5.3 pmol/L and 4 % at 99 pmol/L. The method is accredited according to NS-EN ISO/IEC 17025:2017, and used for analyzing copeptin concentrations reported to clinical care at Oslo University Hospital.

Statistical analysis including the detection and exclusion of outliers, checking for trends in the concentration, transforming skewed data, checking for homogeneity, and AVOVA were performed as per the BIVAC recommendations [4], and were described in detail in our previous work [6, 7].

The Bayesian model was applied as described in detail by Røraas et al. [5] which assumes Student t-distributions and accommodates extreme observations and non-homogeneous variances. In brief, the model infers a posterior distribution of CVI (CVP(I)) with estimates of the mean (µCVP(i)) and SD (σCVP(i)). Based on these parameters the model provides a predicted distribution (dCVP(I)) based on randomly generated CVP(i). The model also allows for assessment of heterogeneity through the Harris–Brown ratio [5, 8, 9], for both the estimated and predicted distribution of CVI. Ratios <100 %/sqrt (2S), where S is the average number of samples per individual, would signal a homogenous population, and for our study S would be 10, so <22.4 %. The prior assumptions used in this model were based on our ANOVA results, where we applied the following prior distributions and hyperparameters, N-truncated indicates that only the positive part of the normal distribution is used in the estimation routine, and SDs are defined as positive, the 10 % (0.1) of the SD has been applied to the hyperparameters):

S D P ( i ) N t r u n c a t e d { μ [ S D P ( i ) ] , σ ( S D P ( i ) ] }

σ [ S D P ( i ) ] N t r u n c a t e d ( 0 , 0.1 )

μ [ S D P ( i ) ] N t r u n c a t e d ( S D I , 0.1 × S D I )

S D G N t r u n c a t e d ( S D A , 0.1 × S D G )

S D A N t r u n c a t e d ( S D A , 0.1 × S D A )

The asymmetrical RCV values (with 95 % confidence intervals) were calculated according to Fokkema et al. [8]:

R C V p o s [ exp ( 1.96 × 2 2 1 2 x ( σ A 2 + σ I 2 ) 1 2 ) 1 ] × 100

R C V n e g = [ exp ( 1.96 × 2 1 2 × ( σ A 2 + σ I 2 ) 1 2 ) 1 ] × 100

in which σA is the analytic standard deviation and σI is the within-person standard deviation of the logarithmic data.

The II was calculated using the retransformed data as follows [2]:

I I = C V 2 A + C V 2 I C V G

Desirable analytical performance specifications were calculated as [2]:

C V A < 1 2 C V I

B i a s < 1 4 C V I 2 + C V 2 G

Two specialists in endocrine biochemistry (KMA and KV) classified females into fertile and peri/postmenopausal groups based on the concentration and covariation observed in FHS, LH, estradiol and progesterone during the 10-week data collection period (weekly samples during 2.5 menstrual cycles) of the study.

The distribution of the concentrations of the 30 participants are shown in Figure 1. Three subjects were identified as outliers (Table 1) (based on trend, Reeds criterion and non-homogeneity) and were not included in the ANOVA analysis. For the Bayesian approach estimates, no outliers needed to be excluded.

Figure 1: 
Median, 25 to 75 percentile and total range of copeptin concentrations by participants. ID 8, 16, 23 were excluded as outliers before the CV-ANOVA analysis. M, male; F, peri/postmenopausal female; FF, fertile female.
Figure 1:

Median, 25 to 75 percentile and total range of copeptin concentrations by participants. ID 8, 16, 23 were excluded as outliers before the CV-ANOVA analysis. M, male; F, peri/postmenopausal female; FF, fertile female.

Table 1:

Biological variation, RCV and II are presented in the table. The top rows show the number of outliers subjects and samples included in the analysis of analytical-(CVA), within (CVI) and between subject biological-variation (CVG). Uncertainty is estimated as 95 % confidence/credibility-intervals (C(r)I) as applicable.

CV-ANOVA Bayesian approach
Subgroup Total Male Female FF Total Male Female FF
Outliers (samples): analytical 2 1 1 2 1 1
Outliers (individ): trend 1 1 1
Outliers (individ): Reed test 1 1
Outliers (individ): homogeneity 1 1
Samples/participants 268/27 130/13 139/14 69/7 292/30 138/14 156/16 77/8
Median concentration (25–75 percentiles) 3.7 (2.6–5.4) 4.1 (3.2–5.6) 3.3 (2.2–5.0) 3.5 (2.3–5.5) 3.9 (2.7–5.8) 4.2 (3.2–6.3) 3.6 (2.4–5.3) 3.9 (2.5–6.1)
CVA (95 % CI/CrI)a 6.9 (6.3–7.5) 7.6 (6.8–8.6) 6.6 (5.7–8.0) 6.2 (5.5–7.1) 6.7 (5.9–7.7) 6.0 (4.8–7.4) 7.3 (6.3–8.3) 5.9 (5.0–5.8)
CVI (95 % CI/CrI)a 19.8 (17.9–21.8) 19.3 (16.9–22.2) 21.0 (17.4–25.6) 20.2 (17.7–23.4) 19.5 (17.0–22.0) 20.5 (16.3–24.8) 19.4 (16.6–22.2) 19.4 (16.2–22.7)
dCVP(I) median (20–80 percentile) N/A N/A N/A N/A 20.9 (15.4–25.5) 21.4 (16.7–26.2) 20.2 (14.5–26.2) 21.5 (16.7–26.9)
CVG (95 % CI/CrI)a 44.9 (34.3–64.3) 47.3 (33.1–83.4) 54.7 (33.1–159.7) 40.9 (28.3–73.0) 47.3 (39.6–55.0) 48.4 (34.2–62.6) 53.7 (14.5–26.2) 43.1 (35.2–50.9)
RCVpos. mean (95 % CI) 77.7 (69.7–87.2) 78.6 (67.7–93.8) 76.9 (66.4–90.4) 83.0 (67.1–106.0) 76.2 (65.4–87.9) 79.8 (61.4–101) 76.8 (64.8–90.0) 74.6 (60.8–90.1)
RCVneg. mean (95 % CI) −43.7 (−41.1 to −46.6) −44.0 (−48.4 to −40.4) −43.5 (−48.0 to −40.0) −45.4 (−52.0 to −40.1) −43.3 (−39.5 to −46.8) −44.4 (−38.0 to 50.2) −43.4 (−39.3 to −47.3) −42.7 (−37.8 to −47.4)
II 0.48 0.50 0.46 0.40 0.44 0.40 0.39 0.47
Estimated Harris–Brown ratio N/A N/A N/A N/A 27 26 33 22
Predicted Harris–Brown ratio N/A N/A N/A N/A 30 32 37 34
  1. N/A, not applicable; FF, presumed fertile females, aresults from Bayesian approach is presented with 95 % credibility interval.

Median copeptin concentration for all participants (30 individuals) was 3.9 (25 and 75 percentile, 2.7–5.8) pmol/L (Table 1). Analytical and biological variation, RCV and II for the total cohort and fertility-stratified sub-groups, using both methods are reported in Table 1. The estimation of the CVI by the ANOVA and Bayesian approaches (μCVP(I)) produced similar results, with 2 percentage points differences or less. The RCV ranged (mean values) from approximately −40 % (deteriorating values) to 80 % (increasing values). The II was generally low (≤0.5). There were no major differences in the estimated parameters between the sub-groups, except a slightly higher CVG and a slightly lower II in the fertile females. Both the estimated (reflecting the actual study data) and predicted (reflecting the simulated distribution) Harris–Brown ratios were generally high, indicating a within-subject heterogeneity in the distribution of copeptin concentrations in healthy individuals. Based on the data the following analytical performance specifications could be calculated; 9.9 % as desirable CVA and 12 % as desirable analytical bias.

The main limitation in our study is the relatively low number of included subjects, however all estimates are given with confidence intervals indicating the level of uncertainty. The subgroups were small, resulting in larger uncertainty for the specific estimates, and these need confirmation in other studies. The fertility status were determined based on expert consensus. We did not collect data on menstrual cycles so we could not determine if copeptin varied according to the menstrual status. Also, our study only included healthy subjects, so the biological variation data are not applicable for interpreting clinically relevant changes in patients with chronic disease.

To our knowledge weekly biological variation of copeptin has not been reported in previous studies. Our data indicate that important sex differences in the biological variation of copeptin are unlikely. Further, no definitive differences between fertile women and postmenopausal women or men were detected. Based on the low II (<0.6), delta values should be preferred for identifying a possible clinical change as compared to reference intervals. During physiological conditions delta values between two serial measurements could range from −40 to 80 %. As the Harris–Brown ratio indicated heterogeneity for all subgroups, a strategy of using different dCVp(i) percentiles as an alternative to the mean CVI may be adopted to set analytical performance specifications or calculate RCV, as suggested by Aarsand et al. [9], depending on the local clinical needs. Finally, the results indicate that routine laboratories have the potential to achieve satisfactory analytical performance when copeptin is measured, given the significant disparity between biological and analytical variation.


Corresponding author: Kristin Moberg Aakre, Hormone Laboratory, Department of Medical Biochemistry and Pharmacology, Haukeland University Hospital, Bergen, Norway; Department of Heart Disease, Haukeland University Hospital, Bergen, Norway; and Department of Clinical Science, University of Bergen, Bergen, Norway, Phone: +47 55974387, E-mail:

Funding source: British Heart Foundation

Award Identifier / Grant number: FS/18/78/33902

Award Identifier / Grant number: R060701, R100404

Award Identifier / Grant number: NA

Award Identifier / Grant number: NA

Funding source: Helse Vest

Award Identifier / Grant number: F-12821-D10484/4800007771

  1. Research ethics: The study was conducted according to the Declaration of Helsinki Ethical Principles and Good Clinical Practices. The respective regional ethics committee approved the protocol at each center: The Regional Committee for Medical and Health Research Ethics in Bergen (Bergen and Oslo) (ID number 2018/92), South Central – Berkshire Research Ethics Committee (London). All volunteers gave an informed written consent before participating.

  2. Informed consent: Informed consent was obtained from all individuals included in this study.

  3. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Competing interests: K.M.A. is an Associate Editor of Clinical Biochemistry and Chair of the IFCC Committee on Clinical Application of Cardiac Bio-Markers. She has served on advisory board for Roche Diagnostics and SpinChip, received consultant honoraria form CardiNor, lecturing honorarium from Siemens Healthineers and Snibe Diagnostics and research grants from Siemens Healthineers and Roche Diagnostics. T.O. is an Associate Editor of Circulation and has received speaker and/or consultancy honoraria from Abbott Diagnostics, Bayer, CardiNor, Roche Diagnostics and Siemens Healthineers, and has received research support from Abbott Diagnostics, Novartis, Roche Diagnostics, via Akershus University Hospital. M.M, E.A.R, N.A.G, K.V, M.S.S, H.S, J.T, B.A, P.T report no disclosures.

  5. Research funding: The study was funded by research grants from Haukeland University Hospital, the University of Oslo, the British Heart Foundation (FS/18/78/33902) and Guy’s and St Thomas’ Charity (London, UK; R060701, R100404). E. A. R has a PhD grant from the Western Norway Regional Health Authority; grant number: F-12821-D10484/4800007771.

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Received: 2023-06-29
Accepted: 2023-07-23
Published Online: 2023-08-03
Published in Print: 2024-01-26

© 2023 the author(s), published by De Gruyter, Berlin/Boston

This work is licensed under the Creative Commons Attribution 4.0 International License.

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