Stability constants of complexes of Zn2+, Cd2+, and Hg2+ with organic ligands: QSPR consensus modeling and design of new metal binders

  • Vitaly Solov’ev
  • Igor Sukhno
  • Vladimir Buzko
  • Aleksey Polushin
  • Gilles Marcou
  • Aslan Tsivadze
  • Alexandre Varnek
Original Article


QSPR modeling of the stability constant log K of the complexes of Zn2+, Cd2+ and Hg2+ with various 556 (Zn2+), 347 (Cd2+) and 76 (Hg2+) organic ligands in water for the M2+ + L = (M2+)L equilibrium at 298 K and an ionic strength 0.1 M was performed. Two machine-learning methods were used: Multiple Linear Regression Analysis (MLR) and Partial Robust M-regression Algorithm (PRM). The PRM method was realized for consensus modeling using substructural molecular fragments (SMF) as descriptors. Using different types of SMF, ensembles of individual predictive MLR and PRM models were prepared to build consensus models (CM). The root mean squared error of test set predictions of fivefold cross-validations is 1.8 and 1.9 (Zn2+), 1.9 and 2.2 (Cd2+), 2.7 and 2.8 (Hg2+) for the MLR and PRM approaches correspondingly. Experimental log K values vary in the range of 0.8–21.9 (Zn2+), 0.9–23.3 (Cd2+) and 1.6–29.7 (Hg2+). Extra validation of the models has been performed on a set of ligands recently reported in the literature. The QSPR models are sampled for the design of new binders of the Zn2+, Cd2+ Hg2+ cations.


QSPR modeling of stability constants Design of metal binders Complexes of Zn2+, Cd2+, and Hg2+ with organic ligands in water 



We thank GDR PARIS, the ARCUS project, CNRS France and the Russian Foundation for Basic Research (project no. 09-03-93106) for the support.

Supplementary material

10847_2011_9978_MOESM1_ESM.doc (794 kb)
Supporting Information Available: Tables SM1–SM3 contain the names of the organic ligands (L) and the experimental stability constant values (log K) for the equilibrium M2+ + L = (M2+)L (M = Zn, Cd, Hg) in water at 298 K and an ionic strength 0.1 M. (DOC 794 kb)


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Vitaly Solov’ev
    • 1
  • Igor Sukhno
    • 2
  • Vladimir Buzko
    • 2
  • Aleksey Polushin
    • 2
  • Gilles Marcou
    • 3
  • Aslan Tsivadze
    • 1
  • Alexandre Varnek
    • 3
  1. 1.Institute of Physical Chemistry and ElectrochemistryRussian Academy of SciencesMoscowRussian Federation
  2. 2.Kuban State UniversityKrasnodarRussian Federation
  3. 3.Laboratoire d’Infochimie, UMR 7177 CNRSUniversité de StrasbourgStrasbourgFrance

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