Skip to main content
Log in

Peak recognition imitating human judgement

  • Originals
  • Published:
Chromatographia Aims and scope Submit manuscript

Summary

Peak integration is still a major source of error in analytical techniques such as chromatography (LC and GC), aapillary electrophoresis (CE), spectrosocpy, and electrochemistry. If the baseline is complex, e.g. because of matrix effects, or if the peak shape is irregular, e.g. because of peak tailing, the results are often not satisfactory when classical procedures are used. These shortcomings arise because of the stepwise appearance of the chromatogram. An algorithm that copies the human method of considering baseline and peaks as a whole has already been introduced. Here the use of a straight line as a baseline model led to an improvement in several instances. The baseline is, however, usually not exactly straight and rigid. A baseline model with flexible properties is more advantageous. Thus the smoothing cubic spline function is applied in this work. Here the rigidity can be controlled by use of a parameterp k. The prediction interval of the spline is used for iterative distinction between baseline and peak regions. Afterwards straightforward optimization of the peak boundaries is applied. More than 50 series of consecutive injections of the same sample (n=40 on average) were used to test the performance of this procedure. The same raw data have been integrated by means of the algorithm described here and by use of commercially available software. The reproducibility of the main component peak are within the series was taken as a measure of integration quality. Typically the new procedure reducesRSD % by approximately 33% (e.g. from 1.5% to 1.0%). The improvement is even more impressive for difficult samples with complex matrices, e.g. blood plasma or polymer excipients. for such samples improvements of up to a factor of 6 are obtained.

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.

Similar content being viewed by others

References

  1. N. Dyson, Chromatographic Integration Methods, Royal Society of Chemistry, London, 1990.

    Google Scholar 

  2. H. Wätzig, Chromatographia33, 218 (1992).

    Article  Google Scholar 

  3. J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and their Applications, Academic Press, New York 1967.

    Google Scholar 

  4. H. Späth, Spline-Algorithmen, 4th edn, Oldenborg, München, 1986.

    Google Scholar 

  5. P. Fleischer, doctoral thesis, Würzburg 1989.

  6. T. N. E. Greville, Theory and Application of Spline Functions, Academic Press, New York 1969.

    Google Scholar 

  7. R. Bulirsch, H. Rutishauser, Spline-Interpolation in: Mathematische Hilfsmittel des Ingenieurs, Springer, Berlin 1968.

    Google Scholar 

  8. A. Sard, Linear Approximation, Am. Math Soc. Surveys 9, Providence 1963.

  9. T. N. E. Greville, Mathematical Methods for Digital Computers, Vol. II, Wiley & Sons, New York, 1967, p. 156.

    Google Scholar 

  10. P. L. J. Rooy, F. van Schurer, A Bibliography on Spline Functions, II. T.H.-Report 73-WSK-01, Technological University Eindhoven 1973.

  11. C. H. Reinsch, Numer. Math.10, 177 (1967).

    Article  Google Scholar 

  12. C. L. Mallows, Technometrics15, 661 (1973).

    Article  Google Scholar 

  13. P. Craven, G. Wahba, Numer Math.31, 377 (1979).

    Article  Google Scholar 

  14. J. Hartung, Statistik, 1st edn, Oldenborg, München, 1982.

    Google Scholar 

  15. Thermo Separation Products Inc., Integration Software for the Spectraphoresis 1000 CE-Instrument Version 3.01, Fremont USA, 1995.

  16. Hewlett Packard GmbH, HP 3D-CE Chemstation Software Version A05.01, Waldbronn, Germany, 1997.

  17. K. D. Altria, R. C. Harden, M. Hart, J. Hevizi, P. A. Hailey, J. V. Makwana, M. J. Portsmouth, J. Chromatogr.641, 147 (1993).

    Article  CAS  Google Scholar 

  18. A. Kunkel, S. Günter, C. Dette, H. Wätzig, J. Chromatogr. A781, 445 (1997).

    Article  CAS  Google Scholar 

  19. C. Dette, H. Wätzig, Fresenius J. Anal. Chem.345, 403 (1993).

    Article  Google Scholar 

  20. A. Kunkel, S. Günter, H. Wätzig, J. Chromatogr. A768, 125 (1997).

    Article  CAS  Google Scholar 

  21. A. Kunkel, S. Günter, H. Wätzig, Electrophoresis18, 1882 (1997).

    Article  CAS  Google Scholar 

  22. M. Degenhardt, H. Benend, H. Wätzig, Separation and Quality Control of Pentosanpolysulfate (PPS) by Capillary Zone Electrophoresis (CZE), poster presented at the Ninth International Symposium on High Performance Capillary Electrophoresis and Related Microscale Techniques (HPCE 97), 26-30.1.1997, Anaheim, California, USA.

  23. K. Brinkmann, doctoral thesis, Würzburg, in preparation.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schirm, B., Wätzig, H. Peak recognition imitating human judgement. Chromatographia 48, 331–346 (1998). https://doi.org/10.1007/BF02467701

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02467701

Key Words

Navigation