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Multivariate Adaptive Regression Splines for Prediction of Rate Constants for Radical Degradation of Aromatic Pollutants in Water

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Abstract

A quantitative structure–activity relationship was developed to predict the rate constants for radical degradation of aromatic pollutants in water. A set of 1,508 zero-to three-dimensional descriptors was used for each molecule in the data set. Multiple linear regression was used as a descriptor selection method and the multivariate adaptive regression spline (MARS) method was successfully applied for the mapping model. The root-mean-square error and coefficient of determination were obtained as 0.0996 and 0.8998, respectively. In comparison with other models, the results show that MLR–MARS can be used as a powerful model for prediction of rate constants for radical degradation of aromatic pollutants in water.

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References

  1. Kusic, H., Rasulev, B., Leszczynska, D., Leszczynski, J., Koprivanac, N.: Prediction of rate constants for radical degradation of aromatic pollutants in water matrix: a QSAR study. Chemosphere 75, 1128–1134 (2009)

    Article  CAS  Google Scholar 

  2. Parsons, S.: Advanced oxidation processes for water and wastewater treatment. IWA Publishing, London (2004)

    Google Scholar 

  3. Ye, Z.L., Cao, C.Q., He, J.C., Zhang, R.X., Hou, H.Q.: Photolysis of organic pollutants in wastewater with 206 nm UV irradiation. Chin. Chem. Lett. 20, 706–710 (2009)

    Article  CAS  Google Scholar 

  4. Xu, J., Wang, L., Wang, L., Shen, X., Xu, W.: QSPR study of Setschenow constants of organic compounds using MLR, ANN, and SVM analyses. J. Computational Chem. 32, 3241–3252 (2011)

    Article  CAS  Google Scholar 

  5. Xu, J., Wang, L., Wang, L., Zhang, H., Xu, W.: Predicting infinite dilution activity coefficients of chlorinated organic compounds in aqueous solution based on three-dimensional WHIM and GETAWAY descriptors. J. Solution Chem. 40, 118–130 (2011)

    Article  CAS  Google Scholar 

  6. Xu, J., Zhang, H., Wang, L., Ye, W., Xu, W., Li, Z.: QSPR analysis of infinite dilution activity coefficients of chlorinated organic compounds in water. Fluid Phase Equilib. 291, 111–116 (2010)

    Article  CAS  Google Scholar 

  7. Zarei, K., Atabati, M.: Prediction of infinite dilution activity coefficients of halogenated hydrocarbons in water using classification and regression tree analysis and adaptive neuro-fuzzy inference systems. J. Solution Chem. 42, 516–525 (2013)

    Article  CAS  Google Scholar 

  8. Zarei, K., Atabati, M., Moghaddary, S.: Predicting the heats of combustion of polynitro arene, polynitro heteroarene, acyclic and cyclic nitramine, nitrate ester and nitroaliphatic compounds using bee algorithm and adaptive neuro-fuzzy inference system. Chemom. Intell. Lab. Syst. 128, 37–48 (2013)

    Article  CAS  Google Scholar 

  9. Zarei, K., Fatemi, L.: Prediction of retention of pesticides in reversed-phase high-performance liquid chromatography using classification and regression tree analysis and adaptive neuro-fuzzy inference systems. J. Liq. Chromatogr. R. T. 35, 854–865 (2012)

    Article  CAS  Google Scholar 

  10. Zarei, K., Salehabadi, Z.: The shuffling multivariate adaptive regression splines and adaptive neuro-fuzzy inference system as tools for QSPR study bioconcentration factors of polychlorinated biphenyls (PCBs). Struct. Chem. 23, 1801–1807 (2012)

    Article  CAS  Google Scholar 

  11. Dearden, J.C., Nicholson, R.M.: The prediction of biodegradability by the use of quantitative structure–activity relationships: correlation of biological oxygen demand with atomic charge difference. Pestic. Sci. 17, 305–310 (1986)

    Article  CAS  Google Scholar 

  12. Gramatica, P., Pilutti, P., Papa, E.: Validated QSAR prediction of OH tropospheric degradation of VOCs: splitting into training-test sets and consensus modeling. J. Chem. Inform. Comput. Sci. 44, 1794–1802 (2004)

    Article  CAS  Google Scholar 

  13. Friedman, J.H.: Multivariate adaptive regression splines. Ann. Stat. 19, 1–67 (1991)

    Article  Google Scholar 

  14. De Veaux, R.D., Psichogios, D.C., Ungar, L.H.: A comparison of two nonparametric estimation schemes: MARS and neural networks. Comput. Chem. Eng. 17, 819–837 (1993)

    Article  Google Scholar 

  15. Nguyen-Cong, V., Van Dang, G., Rode, B.M.: Using multivariate adaptive regression splines to QSAR studies of dihydroartemisinin derivatives. Eur. J. Med. Chem. 31, 797–803 (1996)

    Article  CAS  Google Scholar 

  16. Lahsen, J., Schmidhammer, H., Rode, B.M.: Structure–activity relationship study of nonpeptide opioid receptor ligands. Helv. Chim. Acta. 84, 3299–3305 (2001)

    Article  CAS  Google Scholar 

  17. Put, R., Xu, Q.S., Massart, D.L., Vander Heyden, Y.: Multivariate adaptive regression splines (MARS) in chromatographic quantitative structure–retention relationship studies. J. Chromatogr. A 1055, 11–19 (2004)

    Article  CAS  Google Scholar 

  18. Deconinck, E., Xu, Q.S., Put, R., Coomans, D., Massart, D.L., Heyden, Y.V.: Prediction of gastro-intestinal absorption using multivariate adaptive regression splines. J. Pharm. Biomed. Anal. 39, 1021–1030 (2005)

    Article  CAS  Google Scholar 

  19. Sekulic, S., Kowalski, B.R.: MARS: a tutorial. J. Chemometrics 6, 199–216 (1992)

    Article  CAS  Google Scholar 

  20. Jekabsons, G.: ARESLab: Adaptive regression splines toolbox for matlab, http://www.cs.rtu.lv/jekabsons/ (2009)

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Correspondence to Kobra Zarei.

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Zarei, K., Atabati, M. & Teymori, E. Multivariate Adaptive Regression Splines for Prediction of Rate Constants for Radical Degradation of Aromatic Pollutants in Water. J Solution Chem 43, 445–452 (2014). https://doi.org/10.1007/s10953-014-0143-x

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