Skip to main content
SpringerLink
Log in

Analysis of UV spectral bands using multidimensional scaling

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

This study describes the change of the ultraviolet spectral bands starting from 0.1 to 5.0 nm slit width in the spectral range of 200–400 nm. The analysis of the spectral bands is carried out by using the multidimensional scaling (MDS) approach to reach the latent spectral background. This approach indicates that 0.1 nm slit width gives higher-order noise together with better spectral details. Thus, 5.0 nm slit width possesses the higher peak amplitude and lower-order noise together with poor spectral details. In the above-mentioned conditions, the main problem is to find the relationship between the spectral band properties and the slit width. For this aim, the MDS tool is to used recognize the hidden information of the ultraviolet spectra of sildenafil citrate by using a Shimadzu UV–VIS 2550, which is in the world the best double monochromator instrument. In this study, the proposed mathematical approach gives the rich findings for the efficient use of the spectrophotometer in the qualitative and quantitative studies.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Borg, I., Groenen, P.J.: Modern Multidimensional Scaling-Theory and Applications. Springer, New York (2005)

    MATH  Google Scholar 

  2. Cha, S.: Taxonomy of nominal type histogram distance measures. In: Proceedings of the American conference on applied mathematics, pp. 325–330. Harvard, Massachusetts, USA (2008)

  3. Cox, T.F., Cox, M.A.A.: Multidimensional Scaling. Chapman & Hall/CRC, Boca Raton (2001)

    MATH  Google Scholar 

  4. Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer, Berlin (2009)

    Book  MATH  Google Scholar 

  5. Elshafeey, A.H., Bendas, E.R., Mohamed, O.H.: Intranasal microemulsion of sildenafil citrate: in vitro evaluation and in vivo pharmacokinetic study in rabbits. AAPS Pharmscitech 10(2), 361–367 (2009)

    Article  Google Scholar 

  6. Fernández, A., Gómez, S.: Solving non-uniqueness in agglomerative hierarchical clustering using multidendrograms. J. Classif. 25(1), 43–65 (2008)

    Article  MATH  Google Scholar 

  7. GGobi.http://www.ggobi.org/

  8. Harriett, J., Broderick, W.C.: Utilization patterns of sildenafil citrate in a senior managed care population. Value in Health 8(3), 302–302 (2005)

    Google Scholar 

  9. Kruskal, J.: Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika 29(1), 1–27 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kruskal, J.B., Wish, M.: Multidimensional Scaling. Sage, Newbury Park (1978)

    Google Scholar 

  11. Lee, H.G., Kim, W.M., Choi, J.I., Yoon, M.H.: Roles of adenosine receptor subtypes on the antinociceptive effect of sildenafil in rat spinal cord. Neurosci. Lett. 480(3), 182–185 (2010)

    Article  Google Scholar 

  12. Machado, J.T.: Multidimensional scaling analysis of fractional systems. Comput. Math. Appl. 64(10), 2966–2972 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  13. Martinez, W.L., Martinez, A.R.: Exploratory Data Analysis with MATLAB. Chapman & Hall/CRC, Boca Raton (2005)

    MATH  Google Scholar 

  14. Machado, J.T., Duarte, F.B., Duarte, G.M.: Analysis of stock market indices through multidimensional scaling. Commun. Nonlinear Sci. Numer. Simul. 16(12), 4610–4618 (2011)

    Article  Google Scholar 

  15. Machado, J.T., Costa, A.C., Quelhas, M.D.: Analysis and visualization of chromosome information. Gene 491(1), 81–87 (2012)

    Article  Google Scholar 

  16. Multidendrograms. http://deim.urv.cat/sgomez/multidendrograms.php

  17. Shepard, R.N.: The analysis of proximities: multidimensional scaling with an unknown distance function. Psychometrika 27(I and II), 219–246 and 219–246 (1962)

  18. Torgerson, W.: Theory and Methods of Scaling. Wiley, New York (1958)

    Google Scholar 

Download references

Acknowledgments

This work was done within the Chemometric Laboratory of Faculty of Pharmacy, and it was supported by the scientific research Project No. 10A3336001 of Ankara University. The authors thank the anonymous reviewers for their valuable comments that helped improving the paper.

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Institute of Engineering of Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 , Porto, Portugal

    J. A. Tenreiro Machado

  2. Department of Analytical Chemistry, Faculty of Pharmacy, Ankara University, 06100 , Tandoğan, Ankara, Turkey

    Erdal Dinç

  3. Department of Mathematics and Computer Sciences, Çankaya University, 06530 , Ankara, Turkey

    Dumitru Baleanu

  4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box: 80204, Jeddah, 21589, Saudi Arabia

    Dumitru Baleanu

  5. National Institute for Laser, Plasma and Radiation, Institute of Space Sciences, P.O. Box: MG-23, 76911 , Magurele-Bucharest, Romania

    Dumitru Baleanu

Authors
  1. J. A. Tenreiro Machado
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Erdal Dinç
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dumitru Baleanu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. A. Tenreiro Machado.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Machado, J.A.T., Dinç, E. & Baleanu, D. Analysis of UV spectral bands using multidimensional scaling. SIViP 9, 573–580 (2015). https://doi.org/10.1007/s11760-013-0485-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11760-013-0485-7

Keywords

Search

Navigation