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Clinical Chemistry 47: 2035-2037, 2001;
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(Clinical Chemistry. 2001;47:2035-2037.)
© 2001 American Association for Clinical Chemistry, Inc.


Technical Briefs

Computer-simulated Tumor-Marker Data Used to Compare Progression Criteria for Cytokeratin Tissue Polypeptide Antigen in Metastatic Breast Cancer

György Sölétormos1a, Per Hyltoft Petersen2 and Dorte Nielsen3

1 Department of Clinical Biochemistry, Hillerød Hospital, Helsevej 2, DK 3400 Hillerød, Denmark

2 Department of Clinical Biochemistry, Odense University Hospital, 5000 Odense, Denmark

3 Department of Oncology, Herlev Hospital, University of Copenhagen, 2730 Copenhagen, Denmark

aauthor for correspondence: fax 45-48-24-00-67, e-mail geso{at}fa.dk

Clinical trials have suggested that the serologic cytokeratin tumor marker tissue polypeptide antigen (TPA) may be important as a monitor of metastatic breast cancer (1)(2)(3). The usefulness of this marker depends on the ability to identify, predict, and exclude tumor growth before the changes are detectable by imaging techniques and routine biochemistry (4)(5)(6). It is, however, difficult to compare results because the investigated patient populations have been heterogeneous. It remains unknown how TPA assessment criteria perform in situations with different (a) time intervals between measurements, (b) numbers of measurements, (c) rates of increase during progression, and (d) analytical quality. The time and expense required to investigate these issues in new studies will be considerable. Recently, computer-simulated marker data have been suggested to compare the diagnostic accuracy of assessment criteria used to interpret longitudinal cancer antigen (CA) 15.3 and carcinoembryonic antigen (CEA) data (7)(8). The computer-based approach was useful because the descriptive variables described above could be standardized and changed individually according to the simulated clinical and laboratory situation. The procedure-identified criteria must have a high ability to detect early CA 15.3 and CEA progression and at the same time maintain robustness against false-positive signals. Because TPA measurements among patients are frequently performed in combination with CA 15.3 and CEA, we consider it relevant to investigate whether computer-simulated data can be used to identify reliable criteria to interpret sequential TPA concentrations. However, because the typical background variability of TPA and the rate of TPA increase during progression are different as compared with CA 15.3 and CEA (7), we generated new data sets in the present simulation procedure to test our hypothesis in a clinically relevant environment. Progressive TPA concentrations that were clinically relevant were combined with representative TPA values for background steady-state variation in a computer-simulated model. Six criteria for assessment of longitudinal tumor marker data were obtained from the literature and programmed into a software package as computer functions (8).

The true-positive signals denoted TPA progression among events with continuously increasing concentration. The frequency of true-positive TPA progression signals was determined by the rate of marker increase (Table 1 ). Events with slow rate constants were detected more easily if the required difference was small and the cutoff value was low. At fast and medium rate constants the increments were so large that any of the required changes were reached early. The time interval to true-positive signals of TPA progression also depended on the background variation because the rate of increase of progressing concentrations was stimulated by upward fluctuations and delayed by downward fluctuations. At slow rate constants, the increments delayed by increasing downward background fluctuations easily satisfied progression criteria based on a low cutoff, i.e., Fig. 1, A and B , whereas criteria based on a high cutoff were met later (Fig. 1, E and F ). Marker kinetics with fast and medium rate constants were less influenced by background fluctuations.


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Table 1. Diagnostic accuracy in terms of progression of criteria used to assess sequential TPA data during monitoring.1



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Figure 1. Criteria to assess sequential tumor-marker concentrations that start below the cutoff.

Points connected by dashed lines indicate measurements that are not necessarily consecutive. Solid lines indicate consecutive measurements. CD denotes the required critical difference from the baseline concentration. CD >= significant denotes that the increment exceeded what could be explained by the analytical and biologic components of variation. *, recommended cutoff; **, recommended cutoff x 3.8; ***, recommended cutoff x 2. Further details may be obtained from the data supplement posted at Clinical Chemistry Online (http://www.clinchem.org/content/vol47/issue11).

(A), the criterion is based on at least two measurements. The last concentration is above the recommended cutoff and at least 25% higher than any previous concentration below the cutoff [Tondini et al. (4)].

(B), the criterion is based on at least two measurements. The last concentration is above the recommended cutoff and twofold that of any previous concentration below the cutoff [Sölétormos et al. (3)].

(C), the criterion is based on at least three consecutive measurements. The last and the second-to-last concentration are above the recommended cutoff. The last concentration is higher than the second-to-last concentration, and the second-to-last concentration is higher than the third-to-last concentration. There is no requirement for the magnitude of the difference between the last and the second-to-last concentration. The second-to-last concentration is significantly higher than the third-to-last or any previous concentration below the cutoff [Sölétormos et al. (3)].

(D), the criterion is based on three consecutive measurements. The last and second-to-last concentration are above the recommended cutoff, whereas the third latest concentration is below the recommended cutoff. The last concentration may be higher, equal to, or lower than the second-to-last concentration. There is no requirement for the magnitude of the difference between the second- and the third-to-last concentration [Chan et al. (6)].

(E), the criterion is based on three consecutive measurements. The last and second-to-last concentrations are twofold above the recommended cutoff, whereas the third-to-last concentration is less than twofold the recommended cutoff. The last concentration may be higher, equal to, or lower than the second-to-last concentration. There is no requirement for the magnitude of the difference between the second- and the third-to-last concentration [Molina et al. (5)].

(F), the criterion is based on at least two measurements. The last concentration is >3.8-fold the recommended cutoff and significantly higher than any previous concentration below the cutoff [Sölétormos et al. (3)].

The false-positive signals denoted TPA progression among events where TPA fluctuated in a steady state without any rate of increase (0.0000). The frequency and time point of the false-positive TPA signals were determined by the magnitude of the normal background fluctuations because larger fluctuations promoted the required critical difference. The criteria in Fig. 1, E and FUp , did not give any false-positive progression signals when the concentrations fluctuated in the middle of the normal range. Their robustness against false-positive signals of progression was therefore further investigated in situations where TPA concentrations fluctuated closely below the applied cutoff value. Indeed, both criteria provided false progression signals if steady-state concentrations fluctuated high within the normal range. However, the criterion in Fig. 1FUp gave false-positive signals at unusually large clinical fluctuations, whereas the criterion in Fig. 1EUp also gave false signals at small fluctuations. The criterion in Fig. 1FUp was robust against false-positive progression signals, owing to a higher cutoff value. In reviewing the data provided in Table 1Up , we believe it is clear that the criterion by Sölétormos et al. (3) (Fig. 1FUp ), which adjusted the cutoff value and the critical difference to the higher background variation of TPA, performed better than criteria by other authors where this issue was left unconsidered (4)(5)(6) (Table 1Up ). However, the importance of adjusting the algorithm to the individual marker also applied to the criteria elaborated by Sölétormos et al. (8) because the criteria that sufficed for CA 15.3-CEA (Fig. 1, B and CUp ) gave false positives when applied to TPA data (Table 1Up ). Conversely, the criteria that gave delayed CA 15.3-CEA information was more suitable for TPA (Fig. 1FUp ; Table 1Up ) (8).

In conclusion, the elaborated computer-simulation models have considerable potential because criteria can be compared in a variety of simulated conditions of steady-state and progressive disease. Varying the background variation and the tumor growth according to realistic patient data, as well as the cutoff value, enabled identification of criteria that were robust against false-positive signals of TPA progression. When data that define steady-state variability and rates of increase become available, the model systems should be used to generate assessment criteria for other markers and malignancies and compare and optimize diagnostic performance of the criteria. However, it is important to emphasize that computer-simulation studies cannot replace clinical tumor-marker trials. Computer-based comparison of assessment criteria is a supplement to clinical studies and relevant only if these studies have provided reliable estimates of basic performance characteristics. However, by simulating a large variety of new trial conditions, the robustness of a criterion can quickly be investigated at low costs, and a determination can be made as to whether the criterion is of limited use or should be implemented in routine clinical practice for patient monitoring.


References

  1. Chan DW, Sell S. Tumor markers. Burtis CA Ashwood ER eds. Tietz textbook of clinical chemistry 3rd ed. 1998:722-749 WB Saunders Philadelphia. .
  2. Sonoo H, Kurebayashi J. Serum tumor marker kinetics and the clinical course of patients with advanced breast cancer. Surg Today 1996;26:250-257.[Web of Science][Medline] [Order article via Infotrieve]
  3. Sölétormos G, Nielsen D, Schiøler V, Skovsgaard T, Dombernowsky P. Tumor markers cancer antigen 15.3, carcinoembryonic antigen, and tissue polypeptide antigen for monitoring metastatic breast cancer during first-line chemotherapy and follow-up. Clin Chem 1996;42:564-575.[Abstract/Free Full Text]
  4. Tondini C, Hayes DF, Gelman R, Craig Henderson I, Kufe D. Comparison of CA 15–3 and carcinoembryonic antigen in monitoring the clinical course of patients with metastatic breast cancer. Cancer Res 1988;48:4107-4112.[Abstract/Free Full Text]
  5. Molina R, Zanón G, Filella X, Moreno F, Jo J, Daniels M, et al. Use of serial carcinoembryonic antigen and CA 15.3 assays in detecting relapses in breast cancer patients. Breast Cancer Res Treat 1995;36:41-48.[Web of Science][Medline] [Order article via Infotrieve]
  6. Chan DW, Beveridge RA, Muss H, Fritsche HA, Theriault R, Kiang D, et al. Use of Truquant BR RIA for early detection of breast cancer recurrence in patients with stage II and stage III disease. J Clin Oncol 1997;15:2322-2328.[Abstract/Free Full Text]
  7. Sölétormos G, Hyltoft Petersen, Dombernowsky P. Assessment of CA 15.3, CEA, and TPA concentrations during monitoring of breast cancer. Clin Chem Lab Med 2000;38:453-463.[Web of Science][Medline] [Order article via Infotrieve]
  8. Sölétormos G, Hyltoft Petersen P, Dombernowsky P. Progression criteria for cancer antigen 15.3 and carcinoembryonic antigen in metastatic breast cancer compared by computer simulation of marker data. Clin Chem 2000;46:939-949.[Abstract/Free Full Text]




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