Skip to main content

Resolution, Precision, and Entropy as Binning Problem in Mass Spectrometry

  • Conference paper
  • First Online:
Bioinformatics and Biomedical Engineering (IWBBIO 2018)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 10813))

Included in the following conference series:

Abstract

The analysis mass spectra is dependent on the initial resolution and precision estimation. The novel method of relative entropy, combines the detection of the false precision, statistical binning problem, and the change of information content into one task. The methodological approach as well as relevant objectives are discussed in the first two parts of the work, including mathematical justification. The method of relative entropy has comparable results to the false precision detection, however using different approach. The binning problem solution is estimated via maximization of the relative entropy as a criterion parameter for objective magnitude rounding. The approach is verified on the real high resolution measurements with known presence of false precision. The method could be generalized for wider spectrum of data binnig/precision tasks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Urban, J., Afseth, N.K., Stys, D.: Fundamental definitions and confusions in mass spectrometry about mass assignment, centroiding and resolution. TrAC Trends Anal. Chem. 53, 126–136 (2014)

    Article  Google Scholar 

  2. Sturges, H.A.: The choice of a class interval. J. Am. Stat. Assoc. 21(153), 65–66 (1926)

    Article  Google Scholar 

  3. Freedman, D., Diaconis, P.: On the histogram as a density estimator: L2 theory. Zeitschrift fur Wahrscheinlichkeitstheorie und verwandte Gebiete 57(4), 453–476 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  4. Shimazaki, H., Shinomoto, S.: A method for selecting the bin size of a time histogram. Neural Comput. 19(6), 1503–1527 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Urban, J., Vanek, J., Stys, D.: Using Information Entropy for Camera Settings. TCP, Prague (2008). ISBN 978-80-7080-692-0

    Google Scholar 

  6. Lahoda, D., Urban, J., Vanek, J., Stys, D.: Expertomica Time-Lapse with Entropy, RIV/60076658:12640/09:00010084 (2009)

    Google Scholar 

  7. Urban, J., Vanek, J., Soukup, J., Stys, D.: Expertomica metabolite profiling: getting more information from LC-MS using the stochastic systems approach. Bioinformatics 25(20), 2764–2767 (2009)

    Article  Google Scholar 

  8. Urban, J.: False precision of mass domain in HPLC–HRMS data representation. J. Chromatogr. B 1023, 72–77 (2016)

    Article  Google Scholar 

  9. Shannon C. E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379–423 and 623–656 (1948)

    Google Scholar 

  10. Boublik, T.: Statistical Thermodynamic. Academia, San Francisco (1996)

    Google Scholar 

  11. Hatley, J.V.: Bell Syst. Tech. J. 7, 535 (1928)

    Google Scholar 

  12. Jizba, P., Arimitsu, T.: The world according to Renyi: thermodynamics of multifractal systems. Ann. Phys. 312, 17–59 (2004)

    Article  MATH  Google Scholar 

  13. USG Matlab: The mathworks, Inc., Natick, MA (1760, 1992)

    Google Scholar 

Download references

Acknowledgement

This work was supported by the Ministry of Education, Youth and Sports of the Czech Republic - projects ‘CENAKVA’ (No. CZ.1.05/2.1.00/01.0024) and ‘CENAKVA II’ (No. LO1205 under the NPU I program).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jan Urban .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Urban, J. (2018). Resolution, Precision, and Entropy as Binning Problem in Mass Spectrometry. In: Rojas, I., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2018. Lecture Notes in Computer Science(), vol 10813. Springer, Cham. https://doi.org/10.1007/978-3-319-78723-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-78723-7_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78722-0

  • Online ISBN: 978-3-319-78723-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics