Skip to main content
Log in

The thermodynamic dissociation constants of methotrexate by the nonlinear regression and factor analysis of multiwavelength spectrophotometric pH-titration data

  • Invited Paper
  • Published:
Central European Journal of Chemistry

Abstract

The mixed dissociation constants of methotrexate — chemically (2S)-2-[(4-{[(2,4-diamino-7,8-dihydropteridin-6-yl)methyl] (methyl)amino}phenyl)formamido]pentanedioic acid (the cas number 59-05-2) at various ionic strengths I of range 0.01–0.4, and at temperatures of 25°C and 37°C, were determined with the use of two different multiwavelength and multivariate treatments of spectral data, SPECFIT32 and SQUAD(84) nonlinear regression analyses and INDICES factor analysis according to a general rule of first, determining the number of components, and then calculating the spectral responses and concentrations of the components. Concurrently, the experimental determination of the thermodynamic dissociation constants was in agreement with its computational prediction of the PALLAS programme based on knowledge of the chemical structures of the drug. The factor analysis in the INDICES programme predicts the correct number of light-absorbing components when the data quality is high and the instrumental error is known. Three thermodynamic dissociation constants were estimated by nonlinear regression of {pK a , I} data: for methotrexate pK Ta1 = 2.895(13), pK Ta2 = 4.410(14), pK Ta3 = 5.726(15) at 25°C and pK Ta1 = 3.089(15), pK Ta2 = 4.392(12), pK Ta3 = 5.585(11) at 37°C, where the figure in brackets is the standard deviation in last significant digits. The reliability of the dissociation constants of the drug were proven by conducting goodness-of-fit tests of the multiwavelength spectrophotometric pH-titration data.

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. A. Albertioni et al., J. Chrom. B 665, 163 (1995)

    Article  CAS  Google Scholar 

  2. F. Albertioni et al., Clinical Chemistry 42, 39 (1966)

    Google Scholar 

  3. J.L. Wisnicki, W.P. Tong, D.B. Ludlum, Cancer Treatment Reports 62:4, 529 (1978)

    CAS  Google Scholar 

  4. R. Turci, G. Micoli, C. Minoia, Rapid Commun. Mass Spectrom. 14, 685 (2000)

    Article  CAS  Google Scholar 

  5. B. Nuernberg, M. Kohlbrenner, R. Faulkner, D.E. Furst, J. Chromatogr., Biomed. Applic. 487, 476 (1989)

    Article  CAS  Google Scholar 

  6. B.N. Cronstein, J.R. Bertino, Milestones in Drug Therapy; Methotrexate (Birkhauser Verlag AG, Basel-Berlin-Boston, 2000)

    Google Scholar 

  7. B.N. Cronstein, M.A. Eberle, H.E. Gruber, R. I. Levin, Proc. Nail. Acad. Sci. USA. 88, 2441 (1991)

    Article  CAS  Google Scholar 

  8. R. Turci, M.L. Fiorentino, C. Stanni, C. Minoia, Rapid Commun. Mass Spectrom. 14, 173 (2000)

    Article  CAS  Google Scholar 

  9. O. Beck et al., Ther. Drug Monit. 13, 528 (1991)

    Article  CAS  Google Scholar 

  10. S. Steinborner, J. Henion, Anal. Chem 71, 2340 (1999)

    Article  CAS  Google Scholar 

  11. M. Meloun, J. Čapek, P. Mikšík, R.G. Brereton, Anal. Chim. Acta. 423, 51 (2000)

    Article  CAS  Google Scholar 

  12. M. Meloun, M. Pluhařová, Anal. Chim. Acta, 416, 55 (2000)

    Article  CAS  Google Scholar 

  13. M. Meloun, P. Černohorský, Talanta 52, 931 (2000)

    Article  CAS  Google Scholar 

  14. M. Meloun, D. Burkoňová, T. Syrový, A. Vrána, Anal. Chim. Acta, 486, 125 (2003)

    Article  CAS  Google Scholar 

  15. M. Meloun, T. Syrový, A. Vrána, Anal. Chim. Acta 489, 137 (2003)

    Article  CAS  Google Scholar 

  16. M. Meloun, T. Syrový, A. Vrána, Talanta 62, 511 (2004)

    Article  CAS  Google Scholar 

  17. M. Meloun, T. Syrový, A. Vrána, Anal. Chim. Acta 533, 97 (2005)

    Article  CAS  Google Scholar 

  18. M. Meloun, T. Syrový, A. Vrána, Anal. Chim. Acta 543, 254 (2005)

    Article  CAS  Google Scholar 

  19. M. Meloun, M. Javůrek, J. Militký, Microchimica Acta 109, 221 (1992)

    Article  CAS  Google Scholar 

  20. M. Meloun, J. Havel, E. Högfeldt, Computation of Solution Equilibria (Ellis Horwood, Chichester, 1988)

    Google Scholar 

  21. M. Meloun, J. Havel, Computation of Solution equilibria, 1. Spectrophotometry, Folia Fac. Sci. at. Univ. Purkyn. Brunensis (Chemia), XXV,Brno 1984, 2. Potentiometry, XXVI, Brno 1985.

  22. L. G. Sillén, B. Warnqvist, Acta Chem. Scand. 22, 3032 (1968)

    Article  Google Scholar 

  23. SQUAD: D.J. Leggett (Ed.), Computational Methods for the Determination of Formation Constants (Plenum Press, New York, 1985), (a) pp. 99–157; (b) pp. 291–353

    Google Scholar 

  24. J. Havel, M. Meloun, In: D.J. Leggett (Ed.), Computational Methods for the Determination of Formation Constants (Plenum Press, New York, 1985), (a) pp. 19; (b) pp. 221

    Google Scholar 

  25. SQUAD(84): M. Meloun, M. Javůrek, J. Havel, Talanta 33, 513 (1986)

    Article  CAS  Google Scholar 

  26. D.J. Leggett, W.A.E. McBryde, Anal. Chem. 47, 1065 (1975)

    Article  CAS  Google Scholar 

  27. D.J. Leggett, Anal. Chem. 49, 276 (1977)

    Article  CAS  Google Scholar 

  28. D.J. Leggett, S.L. Kelly, L.R. Shiue, Y.T. Wu, D. Chang, K.M. Kadish, Talanta 30, 579 (1983)

    Article  CAS  Google Scholar 

  29. J.J. Kankare, Anal. Chem. 42, 1322 (1970)

    Article  CAS  Google Scholar 

  30. P. Gans, A. Sabatini, A. Vacca, Talanta 43, 1739 (1996)

    Article  CAS  Google Scholar 

  31. H. Gampp, M. Maeder, C.J. Mayer, A. Zuberbuhler, Talanta 32, 95 (1985)

    Article  CAS  Google Scholar 

  32. H. Gampp, M. Maeder, C.J. Meyer, A. Zuberbühler, Talanta 32, 251 (1985)

    Article  CAS  Google Scholar 

  33. H. Gampp, M. Maeder, C.J. Meyer, A. Zuberbühler, Talanta 32, 1133 (1985)

    Article  CAS  Google Scholar 

  34. H. Gampp, M. Maeder, C.J. Meyer, A. Zuberbühler, Talanta 33, 943 (1986)

    Article  CAS  Google Scholar 

  35. Y. Kin Tam, K. Takács-Novák, Anal. Chim. Acta 434, 157 (2001)

    Article  CAS  Google Scholar 

  36. SPECFIT/32: Spectrum Software Associates, 197M Boston Post Road West, Marlborough, MA, 01752 U.S.A. (2004), (http://www.bio-logic.info/rapid-kinetics/specft.html).

  37. Pallas: Compudrug International Inc., Morgan Drive 115, Sedona, AZ86351, U.S.A.

  38. M. Meloun, S. Bordovská, T. Syrový, A. Vrána, Anal. Chim. Acta 580, 107 (2006)

    Article  CAS  Google Scholar 

  39. M. Meloun, S. Bordovská, A. Vrána, Anal. Chim. Acta 584, 419 (2007)

    Article  CAS  Google Scholar 

  40. M. Meloun, T. Syrový, S. Bordovská, A. Vrána, Anal. Bioanal. Chem. 387, 941 (2007)

    Article  CAS  Google Scholar 

  41. M. Meloun, J. Militký, M. Forina, Chemometrics for Analytical Chemistry, PC-Aided Regression and Related Methods (Ellis Horwood, Chichester, 1994) Vol. 2

    Google Scholar 

  42. M. Meloun, J. Militký, M. Forina, PC-Aided Statistical Data Analysis (Ellis Horwood, Chichester, 1992) Vol. 1

    Google Scholar 

  43. M. Meloun, S. Bordovská, T. Syrový, J. Phys. Org. Chem. 20, 690 (2007)

    Article  CAS  Google Scholar 

  44. M. Meloun, S. Bordovská, L. Galla, J. Pharm. Biomed. Anal. 45, 552 (2007)

    Article  CAS  Google Scholar 

  45. M. Meloun, S. Bordovská, Anal. Bioanal. Chem. 389, 1267 (2007)

    Article  CAS  Google Scholar 

  46. S-PLUS: TIBCO SOFTWARE INC., Hillview Avenue 3303, Palo Alto, CA 94304, U.S.A.

  47. M. Meloun, T. Syrový, A. Vrána, Anal. Chim. Acta 489, 137 (2003)

    Article  CAS  Google Scholar 

  48. ORIGIN: OriginLab Corporation, One Roundhouse Plaza, Suite 303, Northampton, MA 01060, USA. ADSTAT: ADSTAT 1.25, 2.0, 3.0 (Windows 95)

  49. TriloByte Statistical Software Ltd., Pardubice, Czech Republic

  50. L. Xing, R.C. Glen, J. Chem. Inf. Comput. Sci. 42, 796 (2002)

    CAS  Google Scholar 

  51. Z. Szakács, B. Noszál, Electrophoresis 27, 3399 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Milan Meloun.

About this article

Cite this article

Meloun, M., Ferenčíková, Z. & Vrána, A. The thermodynamic dissociation constants of methotrexate by the nonlinear regression and factor analysis of multiwavelength spectrophotometric pH-titration data. cent.eur.j.chem. 8, 494–507 (2010). https://doi.org/10.2478/s11532-010-0023-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11532-010-0023-1

Keywords

Navigation