Skip to main content

Advertisement

Log in

Development and validation of equations for conversion from DAS28ESR and DAS28CRP to the SDAI in patients with rheumatoid arthritis

  • Original Article
  • Published:
Clinical Rheumatology Aims and scope Submit manuscript

A LETTER TO THE EDITOR to this article was published on 06 April 2024

Abstract

Introduction

Disease Activity Score-28 (DAS28) with erythrocyte sedimentation rate (DAS28ESR), DAS28 with C-reactive protein (DAS28CRP), and simplified disease activity index (SDAI) are widely used to assess disease activity as low, moderate, or high or in remission in patients with rheumatoid arthritis (RA). However, these indicators can generate inconsistent results, influencing treatment decisions and limiting comparisons across studies. We aimed to establish equations for conversion from DAS28ESR and DAS28CRP to SDAI.

Methods

We conducted a retrospective study, including 933 outpatients who were simultaneously assessed using DAS28ESR, DAS28CRP, and SDAI. The patients were divided into a training set (70%) and a validation set (30%). We developed equations to convert DAS28ESR and DAS28CRP values into SDAI values by bisquare-weighted robust regression to obtain SDAI–DAS28ESR and SDAI–DAS28CRP. In addition to using kappa values to assess consistency, differences in disease activity classification between SDAI–DAS28ESR and SDAI–DAS28CRP were examined by the Stuart–Maxwell test and the Bowker test.

Results

Two quadratic equations were developed as follows: SDAI–DAS28ESR = 1.168 × (DAS28ESR)^2 − 2.432 × (DAS28ESR) + 2.649 and SDAI–DAS28CRP = 1.2 × (DAS28CRP)^2 − 0.3522 × (DAS28CRP) − 0.6014. After applying the equations, the Stuart–Maxwell test and the Bowker test were no longer significant between SDAI–DAS28ESR and SDAI or between SDAI–DAS28CRP and SDAI. The kappa values increased from 0.57 to 0.73 between SDAI–DAS28ESR and SDAI and 0.76 to 0.86 between SDAI–DAS28CRP and SDAI.

Conclusion

SDAI–DAS28ESR and SDAI–DAS28CRP are interchangeable with the SDAI on the group level, which will facilitate comparisons among studies. In addition, the equations improved consistency between indicators.

Key Points

There is disagreement in assessing disease activity in patients with rheumatoid arthritis between Disease Activity Score-28 (DAS28) with erythrocyte sedimentation rate (DAS28ESR), DAS28 with C-reactive protein (DAS28CRP), and simplified disease activity index (SDAI).

We developed and validated two quadratic equations to convert DAS28ESR and DAS28CRP into SDAI. We found there was no longer significant difference in disease activity between indicators after applying the equations.

This work may allow comparisons across studies which use different indicators.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig.1

Similar content being viewed by others

References

  1. McInnes IB, Schett G (2011) The pathogenesis of rheumatoid arthritis. N Engl J Med 365(23):2205–2219. https://doi.org/10.1056/NEJMra1004965

    Article  CAS  PubMed  Google Scholar 

  2. Smolen JS, Aletaha D, Bijlsma JW, Breedveld FC, Boumpas D, Burmester G et al (2010) Treating rheumatoid arthritis to target: recommendations of an international task force. Ann Rheum Dis 69(4):631–637. https://doi.org/10.1136/ard.2009.123919

    Article  PubMed  Google Scholar 

  3. Aletaha D, Smolen JS (2019) Remission in rheumatoid arthritis: missing objectives by using inadequate DAS28 targets. Nat Rev Rheumatol 15(11):633–634. https://doi.org/10.1038/s41584-019-0279-6

    Article  PubMed  Google Scholar 

  4. Mierau M, Schoels M, Gonda G, Fuchs J, Aletaha D, Smolen JS (2007) Assessing remission in clinical practice. Rheumatology (Oxford) 46(6):975–979. https://doi.org/10.1093/rheumatology/kem007

    Article  CAS  PubMed  Google Scholar 

  5. Smolen JS, Landewé RBM, Bijlsma JWJ, Burmester GR, Dougados M, Kerschbaumer A et al (2020) EULAR recommendations for the management of rheumatoid arthritis with synthetic and biological disease-modifying antirheumatic drugs: 2019 update. Ann Rheum Dis 79(6):685–699. https://doi.org/10.1136/annrheumdis-2019-216655

    Article  CAS  PubMed  Google Scholar 

  6. Combe B, Landewe R, Daien CI, Hua C, Aletaha D, Álvaro-Gracia JM et al (2017) 2016 update of the EULAR recommendations for the management of early arthritis. Ann Rheum Dis 76(6):948–959. https://doi.org/10.1136/annrheumdis-2016-210602

    Article  PubMed  Google Scholar 

  7. Smolen JS, Landewé R, Breedveld FC, Buch M, Burmester G, Dougados M et al (2014) EULAR recommendations for the management of rheumatoid arthritis with synthetic and biological disease-modifying antirheumatic drugs: 2013 update. Ann Rheum Dis 73(3):492–509. https://doi.org/10.1136/annrheumdis-2013-204573

    Article  CAS  PubMed  Google Scholar 

  8. Singh JA, Saag KG, Bridges SL Jr, Akl EA, Bannuru RR, Sullivan MC et al (2016) 2015 American College of Rheumatology guideline for the treatment of rheumatoid arthritis. Arthritis Care Res 68(1):1–25. https://doi.org/10.1002/acr.22783

    Article  Google Scholar 

  9. Singh JA, Furst DE, Bharat A, Curtis JR, Kavanaugh AF, Kremer JM et al (2012) 2012 update of the 2008 American College of Rheumatology recommendations for the use of disease-modifying antirheumatic drugs and biologic agents in the treatment of rheumatoid arthritis. Arthritis Care Res 64(5):625–639. https://doi.org/10.1002/acr.21641

    Article  CAS  Google Scholar 

  10. Dasgupta A, Ward MM (2019) Translating treatment effects between rheumatoid arthritis activity measures and American College of Rheumatology responses in direct comparison trials. Arthritis Care Res 71(11):1482–1487. https://doi.org/10.1002/acr.23825

    Article  Google Scholar 

  11. Hazlewood GS, Barnabe C, Tomlinson G, Marshall D, Devoe D, Bombardier C (2016) Methotrexate monotherapy and methotrexate combination therapy with traditional and biologic disease modifying antirheumatic drugs for rheumatoid arthritis: abridged Cochrane systematic review and network meta-analysis. BMJ (Clinical research ed) 353:i1777. https://doi.org/10.1136/bmj.i1777

    Article  PubMed  Google Scholar 

  12. Anderson J, Caplan L, Yazdany J, Robbins ML, Neogi T, Michaud K et al (2012) Rheumatoid arthritis disease activity measures: American College of Rheumatology recommendations for use in clinical practice. Arthritis Care Res 64(5):640–647. https://doi.org/10.1002/acr.21649

    Article  Google Scholar 

  13. Prevoo ML, van’t Hof MA, Kuper HH, van Leeuwen MA, van de Putte LB, van Riel PL (1995) Modified disease activity scores that include twenty-eight-joint counts Development and validation in a prospective longitudinal study of patients with rheumatoid arthritis. Arthritis and rheumatism 38(1):44–8. https://doi.org/10.1002/art.1780380107

    Article  CAS  PubMed  Google Scholar 

  14. Fransen J, Welsing PM, Keijzer RM , Van Riel PLCM (2004) Disease activity scores using C-reactive protein: CRP may replace ESR in the assessment of RA disease activity. Ann Rheum Dis 62(Suppl 1):151

  15. Smolen JS, Breedveld FC, Schiff MH, Kalden JR, Emery P, Eberl G et al (2003) A simplified disease activity index for rheumatoid arthritis for use in clinical practice. Rheumatology (Oxford) 42(2):244–257. https://doi.org/10.1093/rheumatology/keg072

    Article  CAS  PubMed  Google Scholar 

  16. Aletaha D, Ward MM, Machold KP, Nell VP, Stamm T, Smolen JS (2005) Remission and active disease in rheumatoid arthritis: defining criteria for disease activity states. Arthritis Rheum 52(9):2625–2636. https://doi.org/10.1002/art.21235

    Article  PubMed  Google Scholar 

  17. Fujiwara M, Kita Y (2013) Reexamination of the assessment criteria for rheumatoid arthritis disease activity based on comparison of the Disease Activity Score 28 with other simpler assessment methods. Mod Rheumatol 23(2):260–268. https://doi.org/10.1007/s10165-012-0652-7

    Article  PubMed  Google Scholar 

  18. Matsui T, Kuga Y, Nishino J, Kaneko A, Eto Y, Tohma S (2011) Comparison of composite disease activity indices for rheumatoid arthritis. Mod Rheumatol 21(2):134–143. https://doi.org/10.1007/s10165-010-0367-6

    Article  PubMed  Google Scholar 

  19. Medeiros MMdC, Oliveira BMGBd, Cerqueira JVMd, Quixadá RTdS, Oliveira ÍMAXd (2015) Correlation of rheumatoid arthritis activity indexes (Disease Activity Score 28 measured with ESR and CRP, simplified disease activity index and clinical disease activity index) and agreement of disease activity states with various cut-off points in a Northeastern Brazilian population. Revista Brasileira de Reumatologia (English Edition) 55(6):477–84. https://doi.org/10.1016/j.rbre.2014.12.005

    Article  Google Scholar 

  20. Slama IB, Allali F, Lakhdar T, El Kabbaj S, Medrare L, Ngeuleu A et al (2015) Reliability and validity of CDAI and SDAI indices in comparison to DAS-28 index in Moroccan patients with rheumatoid arthritis. BMC Musculoskelet Disord 16:268. https://doi.org/10.1186/s12891-015-0718-8

    Article  PubMed  PubMed Central  Google Scholar 

  21. Martins FM, da Silva JA, Santos MJ, Vieira-Sousa E, Duarte C, Santos H et al (2015) DAS28, CDAI and SDAI cut-offs do not translate the same information: results from the Rheumatic Diseases Portuguese Register Reuma.pt. Rheumatology (Oxford, England). 54(2):286–91. https://doi.org/10.1093/rheumatology/keu313

    Article  PubMed  Google Scholar 

  22. Song X, Wang YH, Li MT, Duan XW, Li HB, Zeng XF (2021) Chinese registry of rheumatoid arthritis: IV. Correlation and consistency of rheumatoid arthritis disease activity indices in China. Chin Med J 134(12):1465–70. https://doi.org/10.1097/cm9.0000000000001517

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  23. Restrepo-Correa R, Rodríguez-Padilla LM, Zapata-Castellanos AL, Ocampo A, García JJ, Muñoz-Grajales C et al (2018) Concordance and correlation of activity indices in patients with rheumatoid arthritis in northwestern Colombia: a cross-sectional study. Int J Rheum Dis 21(11):1946–1954. https://doi.org/10.1111/1756-185x.13227

    Article  PubMed  Google Scholar 

  24. Smolen JS, Aletaha D, Gruben D, Zwillich SH, Krishnaswami S, Mebus C (2017) Brief report: remission rates with tofacitinib treatment in rheumatoid arthritis: a comparison of various remission criteria. Arthritis & rheumatology (Hoboken, NJ) 69(4):728–734. https://doi.org/10.1002/art.39996

    Article  CAS  Google Scholar 

  25. Gaujoux-Viala C, Mouterde G, Baillet A, Claudepierre P, Fautrel B, Le Loët X et al (2012) Evaluating disease activity in rheumatoid arthritis: which composite index is best? A systematic literature analysis of studies comparing the psychometric properties of the DAS, DAS28, SDAI and CDAI. Joint bone spine 79(2):149–155. https://doi.org/10.1016/j.jbspin.2011.04.008

    Article  PubMed  Google Scholar 

  26. Leong KP, Tan JWL, Gao X, Koh ET (2020) Conversion among the 28-joint count activity indices for rheumatoid arthritis. Eur J Rheumatol 7(3):105–111. https://doi.org/10.5152/eurjrheum.2020.19199

    Article  PubMed  PubMed Central  Google Scholar 

  27. Aletaha D, Smolen JS (2011) Joint damage in rheumatoid arthritis progresses in remission according to the Disease Activity Score in 28 joints and is driven by residual swollen joints. Arthritis Rheum 63(12):3702–3711. https://doi.org/10.1002/art.30634

    Article  PubMed  Google Scholar 

  28. van der Heijde D, Klareskog L, Boers M, Landewé R, Codreanu C, Bolosiu HD et al (2005) Comparison of different definitions to classify remission and sustained remission: 1 year TEMPO results. Ann Rheum Dis 64(11):1582–1587. https://doi.org/10.1136/ard.2004.034371

    Article  PubMed  PubMed Central  Google Scholar 

  29. Schoels M, Alasti F, Smolen JS, Aletaha D (2017) Evaluation of newly proposed remission cut-points for disease activity score in 28 joints (DAS28) in rheumatoid arthritis patients upon IL-6 pathway inhibition. Arthritis Res Ther 19(1):155. https://doi.org/10.1186/s13075-017-1346-5

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  30. Arnett FC, Edworthy SM, Bloch DA, McShane DJ, Fries JF, Cooper NS et al (1988) The American Rheumatism Association 1987 revised criteria for the classification of rheumatoid arthritis. Arthritis Rheum 31(3):315–324. https://doi.org/10.1002/art.1780310302

    Article  CAS  PubMed  Google Scholar 

  31. Inoue M, Kanda H, Tateishi S, Fujio K (2020) Evaluation of response criteria in rheumatoid arthritis treated with biologic disease-modifying antirheumatic drugs. Arthritis Care Res 72(7):942–949. https://doi.org/10.1002/acr.23914

    Article  CAS  Google Scholar 

  32. Stuart A(1955) A test for homogeneity of the marginal distributions in a two-way classification. Biometrika 42(3–4):412–416

  33. Maxwell AE (1970) Comparing the classification of subjects by two independent judges. B J Psychiatry: J Ment Sci 116(535):651–655. https://doi.org/10.1192/bjp.116.535.651

    Article  CAS  PubMed  Google Scholar 

  34. McNemar Q (1947) Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika 12(2):153–157

  35. Bowker AH (1948) A test for symmetry in contingency tables. J Am Stat Assoc 43(244). https://doi.org/10.2307/2280710

  36. Uebersax J. User Guide for the MH Program (v. 1.2) Tests of marginal homogeneity for two-way tables. http://www.john-uebersax.com/stat/mh.htm. Accessed 22 May 2021

  37. Hmamouchi I, Combe B, Fautrel B, Rincheval N, Lukas C (2014) Prevalence and concordance of early and sustained remission assessed by various validated indices in the early arthritis “ESPOIR” cohort. Joint Bone Spine 81(5):409–415. https://doi.org/10.1016/j.jbspin.2014.02.007

    Article  PubMed  Google Scholar 

  38. Alma ÖG (2011) Comparison of robust regression methods in linear regression. Int J Comput Math Sci 6(9):409–421

  39. Fleischmann R, van der Heijde D, Koenig AS, Pedersen R, Szumski A, Marshall L et al (2015) How much does Disease Activity Score in 28 joints ESR and CRP calculations underestimate disease activity compared with the simplified disease activity index? Ann Rheum Dis 74(6):1132–1137. https://doi.org/10.1136/annrheumdis-2013-204920

    Article  CAS  PubMed  Google Scholar 

  40. Sheehy C, Evans V, Hasthorpe H, Mukhtyar C (2014) Revising DAS28 scores for remission in rheumatoid arthritis. Clin Rheumatol 33(2):269–272. https://doi.org/10.1007/s10067-013-2468-z

    Article  PubMed  Google Scholar 

  41. Wetteland P, Røger M, Solberg HE, Iversen OH (1996) Population-based erythrocyte sedimentation rates in 3910 subjectively healthy Norwegian adults. A statistical study based on men and women from the Oslo area. J Int Med 240(3):125–31. https://doi.org/10.1046/j.1365-2796.1996.30295851000.x

    Article  CAS  Google Scholar 

  42. Jin S, Li M, Fang Y, Li Q, Liu J, Duan X et al (2017) Chinese Registry of rheumatoid arthritis (CREDIT): II. Prevalence and risk factors of major comorbidities in Chinese patients with rheumatoid arthritis. Arthritis Res Ther 19(1):251. https://doi.org/10.1186/s13075-017-1457-z

    Article  CAS  PubMed  PubMed Central  Google Scholar 

Download references

Acknowledgements

We would like to thank all the patients and healthcare professionals who participated in this study.

Funding

This work was supported by a research grant from the National Science and Technology Major Project for Major New Drugs Innovation and Development (no. 2018ZX09734003) and National Natural Science Foundation of China (no. 82171780).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Lie Dai or Li Ling.

Ethics declarations

Disclosures

None.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 17.1 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pu, Lm., Liu, Y., Zhou, Dx. et al. Development and validation of equations for conversion from DAS28ESR and DAS28CRP to the SDAI in patients with rheumatoid arthritis. Clin Rheumatol 41, 3697–3706 (2022). https://doi.org/10.1007/s10067-022-06259-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10067-022-06259-z

Keywords

Navigation