Skip to main content
Log in

Exploratory, Regression, and Neural Network Analysis of the Stability of Cation Coronates in Selected Pure Solvents

  • Published:
Russian Journal of General Chemistry Aims and scope Submit manuscript

Abstract

Exploratory, regression, and neural network analysis of the stability constants of crown ether [12C4, 16C5, (CH3)216C5, DB21C7, DB24C8, DCH24C8, DB30C10] 1 : 1 complexes with alkaline (Li+, Na+, K+, Cs+, Rb+), alkaline-earth (Ca2+, Sr2+, Ba2+), and heavy (Ag+, Tl+, Co2+, Cu2+, Pb2+) metals and NH4+ in water and organic solvents (methanol, acetonitrile, acetone, N,N-dimethylformamide, nitrobenzene, nitromethane, 1,2-dichloroethane, propylene carbonate) at 298.15 K obtained via conductometry has been performed. Factor, cluster, discriminant, canonical, decision tree, regression, and neural network models of clustering, approximation, and prediction of thermodynamic constants of the complexation depending on the properties of the ligand, the cation, and the solvent have been developed. The trained MLP 7-5-5 Multilayer Perceptron Cluster has completely confirmed the k-means clustering. Independent data on the stability constants of coronates have demonstrated the predictive capacity of the trained perceptron-approximator MLP 7-7-1.

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.

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. Tucci, D., Analysis of Observation Results. Exploratory Analysis, Moscow: Mir, 1981.

  2. Donoho, D., J. Comput. Graph. Stat., 2017, vol. 26, no. 4, p. 745. https://doi.org/10.1080/10618600.2017.1384734

    Article  Google Scholar 

  3. Bruce, P. and Bruce, E., Practical Statistics for Data Scientists, O’Reilly Media, Inc., 2018.

  4. Chambers, J.M., Stat. Comput., 1993, vol. 3, no. 4, p. 182. https://doi.org/10.1007/bf00141776

    Article  Google Scholar 

  5. Breiman, L., Stat. Sci., 2001, vol. 16, no. 3, p. 199. https://doi.org/10.1214/ss/1009213726

    Article  Google Scholar 

  6. Hill, T. and Lewicki P., Statistics: Methods and Applications: A Comprehensive Reference for Science, Industry, and Data Mining, Tulsa, Okla.: StatSoft., 2006

  7. Dhar, V., Commun. ACM, 2013, vol. 56, no. 12, p. 64. https://doi.org/10.1145/2500499

    Article  Google Scholar 

  8. Guo, J., Chen, Q., Wang, C., Qiu, H., Liu, B., Jiang, Z.-H., and Zhang, W., Anal. Bioanal. Chem., 2015, vol. 407, no. 5, p. 1389. https://doi.org/10.1007/s00216-014-8371-x

    Article  CAS  PubMed  Google Scholar 

  9. Komorowski, M., Marshall, D.C., Salciccioli, J.D., and Crutain, Y., Cham: Springer, 2016, ch. 15, p. 185. https://doi.org/10.1007/978-3-319-43742-2_15

  10. Cutcher-Gershenfeld, J., Baker, K.S., Berente, N., Flint, C., Gershenfeld, G., Grant, B., Haberman, M., King, J.L., Kickpatrick, C., Lawrence, B., Lewis, W., Lenhardt, W.C., Mayernik, M., McElroy, C., Mittleman, B., Shin, N., Stall, S., Winter, S., and Zaslavsky, I., Nature, 2017, vol. 543, p. 615. https://doi.org/10.1038/543615a

    Article  CAS  PubMed  Google Scholar 

  11. Ma, X., Hummer, D., Golden, J., Fox, P., Hazen, R., Morrison, S., Downs, R.T., Madhikarmi, B.L., Wang, C., Meyer, M., ISPRS Int. J. Geo-Inf., 2017, vol. 6, no. 11, p. 368. https://doi.org/10.3390/ijgi6110368

    Article  Google Scholar 

  12. Biancolillo, A. and Marini, F., Front. Chem., 2018, vol. 6, p. 576. https://doi.org/10.3389/fchem.2018.00576

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  13. Bevilacqua, M., Bucci, R., Magrì, A.D., Magrì, A.L., Nescatelli, R., and Marini, F., Chemom. Food Chem., 2013, vol. 28, p. 171. https://doi.org/10.1016/b978-0-444-59528-7.00005-3

    Article  Google Scholar 

  14. Brereton, R.G., Jansen, J., Lopes, J., Marini, F., Pomerantsev, A., Rodionova, O., Roger, J.M., Walczak, B., and Tauler, R., Anal. Bioanal. Chem., 2018. https://doi.org/10.1007/s00216-018-1283-4

  15. Tauler, R. and Parastar, H., Angew. Chem. Int. Ed. Engl., 2018. https://doi.org/10.1002/anie.201801134

  16. García, F.P., García, M.A.F., Drożdżak, J., and RuizSamblás, C.,Environ. Sci. Pollut. Res., 2012, vol. 19, no. 8, p. 3317. https://doi.org/10.1007/s11356-012-0849-5

    Article  CAS  Google Scholar 

  17. De Klerck, K., Vander Heyden, Y., and Mangelings, D., J. Chromatogr (A), 2014, vol. 1326, p. 110. https://doi.org/10.1016/j.chroma.2013.12.052

    Article  CAS  Google Scholar 

  18. Liu, Y., Zhao, T., Ju, W., and Shi, S., J. Materiomics., 2017, vol. 3, no. 3, p. 159. https://doi.org/10.1016/j.jmat.2017.08.002

    Article  Google Scholar 

  19. Wei, J.N., Duvenaud, D., and Aspuru-Guzik, A., ACS Cent. Sci., 2016, vol. 2, no. 10, p. 725. https://doi.org/10.1021/acscentsci.6b00219

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  20. Blount, D., Banda, P., Teuscher, C., and Stefanovic, D., Artif. Life, 2017, vol. 23, no. 3, p. 295. https://doi.org/10.1162/artl_a_00233

    Article  PubMed  Google Scholar 

  21. Coley, C.W., Jin, W., Rogers, L., Jamison, T.F., Jaakkola, T.S., Green, W.H., Barzilay, R., and Jensen, K.F., Chem. Sci., 2019, vol. 10, p. 370. https://doi.org/10.1039/c8sc04228d

    Article  CAS  PubMed  Google Scholar 

  22. Bonini Neto, A., Bonini, C.S.B., Reis, A.R., Piazentin, J.C., Coletta, L.F.S., Putti, F.F., Heinrichsb, R., and Moreira, A., Commun. Soil Sci. Plant Anal., 2019, vol. 50, no. 14, p. 1785. https://doi.org/10.1080/00103624.2019.1635144

    Article  CAS  Google Scholar 

  23. Meyer, J.G., Liu, S., Miller, I.J., Coon, J.J., and Gitter, A.,J. Chem. Inf. Model., 2019, vol. 59, no. 10, p. 4438. https://doi.org/10.1021/acs.jcim.9b00236

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  24. Li, H., Zhang, Z., and Liu, Z., Catalysts, 2017, vol. 7, no. 10, p. 306. https://doi.org/10.3390/catal7100306

    Article  CAS  Google Scholar 

  25. Schütt, K.T., Arbabzadah, F., Chmiela, S., Müller, K.R., and Tkatchenko, A., Nat. Commun., 2017, vol. 8, no. 13890, p. 1. https://doi.org/10.1038/ncomms13890

    Article  CAS  Google Scholar 

  26. Molina, J., Laroche, A., Richard, J.-V., Schuller, A.-S., and Rolando, C., Front. Chem., 2019, vol. 7, p. 375. https://doi.org/10.3389/fchem.2019.00375

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  27. Chen, X., Sztandera, L., and Cartwright, H.M., Int. J. Intell. Syst., 2007, vol. 23, no. 1, p. 22. https://doi.org/10.1002/int.20256

    Article  Google Scholar 

  28. Ye, W., Chen, C., Wang, Z., Chu, I.-H., and Ong, S.P., Nat. Commun., 2018, vol. 9, no. 3800, p. 1. https://doi.org/10.1038/s41467-018-06322-x

    Article  CAS  Google Scholar 

  29. Cova, T.F. and Canelaspais, A.A., Front. Chem., 2019, vol. 7, p. 809. https://doi.org/10.3389/fchem.2019.00809

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  30. Alves, T.H., Oliveira, P., Mota, L., Correa, C., Abud, A.K., and Oliveira Junior, A., Chem. Eng. Trans., 2019, vol. 74, p. 1483. https://doi.org/10.3303/CET1974248

    Article  Google Scholar 

  31. Schmidt, J., Marques, M.R.G., Botti, S., and Marques, M.A.L.,npj Comput. Mater., 2019, vol. 5, no. 83, p. 1. https://doi.org/10.1038/s41524-019-0221-0

    Article  Google Scholar 

  32. Länge, M., Soft Comput., 2020. https://doi.org/10.1007/s00500-019-04663-3

  33. Bondarev, N.V., Klin. Inform. Telemed., 2019, vol. 14, no. 15, p. 141. https://doi.org/10.31071/kit2019.15.13

    Article  Google Scholar 

  34. Bondarev, N.V., Russ. J. Gen. Chem., 2016, vol. 86, no. 6, p. 1221. https://doi.org/10.1134/S1070363216060025

    Article  CAS  Google Scholar 

  35. Bondarev, N.V., Russ. J. Gen. Chem., 2017, vol. 87, no. 2, p. 188. https://doi.org/10.1134/S1070363217020062

    Article  CAS  Google Scholar 

  36. Bondarev, N.V., Russ. J. Gen. Chem., 2019, vol. 89, no. 2, p. 281. https://doi.org/10.1134/S1070363219020191

    Article  CAS  Google Scholar 

  37. Bondarev, N.V., Russ. J. Gen. Chem., 2019, vol. 89, no. 7, p. 1438. https://doi.org/10.1134/S1070363219070144

    Article  CAS  Google Scholar 

  38. Zenkin, A.A., Kognitivnaya komp’yuternaya grafika (Cognitive Computer Graphics), Moscow: Nauka, 1991.

  39. Brown, F.K., Annual Reports in Medicinal Chemistry, 1998, vol. 33, p. 375. https://doi.org/10.1016/s0065-7743(08)61100-8

    Article  CAS  Google Scholar 

  40. Leach, A.R. and Gillet, V.J., An Introduction to Chemoinformatics, Dordrecht: Springer, 2007. 256 p.

  41. Bunin, B.A., Siesel, A., and Morales, G.A., Bajorath J. Chemoinformatics: Theory, Practice, and Products, Dordrecht: Springer, 2007.

  42. Baskin, V. and Varnek V., Chemoinformatics Approaches to Virtual Screening, Cambridge: RCS Publishing, 2008.

  43. Bondarev, N.V., Russ. J. Gen. Chem., 2020, vol. 90, no. 6, p. 1040. https://doi.org/10.1134/S1070363220060171

    Article  CAS  Google Scholar 

  44. Solov’ev, I.P., Doctoral (Chem.) Dissertation, Moscow, 2007.

  45. Haikin, S., Neironnye seti: polnyi kurs (Neural Networks: Complete Course), Moscow: Vil’yams, 2006.

  46. Halberstam, N.M., Baskin, I.I., Palyulin, V.A., and Zefirov, N.S.,Russ. Chem. Rev., 2003, vol. 72, no. 7, p. 629. https://doi.org/10.1070/RC2003v072n07ABEH000754.

    Article  CAS  Google Scholar 

  47. Halafyan, A.A., Sovremennye statisticheskie metody meditsinskikh issledovanii (Modern Statistical Methods of Medical Research), Moscow: LKI, 2008.

  48. Kolmogorov, A.N., Dokl. Akad. Nauk SSSR, 1957, vol. 114, no. 5, p. 953.

    Google Scholar 

  49. Kim, J.O., Mueller, H.W., Klecka, W.R., Aldenderfer, M.S., and Blashfield, R.K., Faktornyi, diskriminantnyi i klasternyi analiz (Factor, Discriminant, and Cluster Analysis), Moscow: Finansy i Statistika, 1989.

  50. Malhotra, N.K., Marketing Research: An Applied Orientation, New York: Prentice Hall, 1999.

  51. Borovikov, V.P., STATISTICA. Iskusstvo analiza dannykh na komp’yutere: Dlya professionalov (The Art of Computer Data Analysis: For Professionals, St. Petersburg: Piter, 2003.

  52. Aksenov, S.V., and Novosel’tsev, V.B., Organizatsiya i ispol’zovanie neironnykh setei (metody i tekhnologii) [Organization and Use of Neural Networks (Methods and Technologies)], Tomsk: NTL, 2006.

  53. Barsegyan, A.A., Kupriyanov, M.S., and Stepanenko, V.V., Tekhnologii analiza dannykh: Data Mining, Visual Mining, Text Mining, OLAP (Data Analysis Technologies: Data Mining, Visual Mining, Text Mining, OLAP), St. Petersburg: BHV-Peterburg, 2007.

  54. Nasledov, A., IBM SPSS Statistics 20 i AMOS: professional’nyi statisticheskii analiz dannykh (IBM SPSS Statistics 20 and AMOS: Professional Statistical Data Analysis), St. Petersburg: Piter, 2013.

  55. Borovikov, V.P., Neironnye seti. Statistika Neural Networks. Metodologiya i tekhnologii sovremennogo analiza dannykh (Neural Networks. Statistica Neural Networks. Methodology and Technologies of Modern Data Analysis), Moscow: Goryachaya Liniya–Telekom, 2008..

  56. Bondarev, S.N. and Bondarev, N.V., Vest. Kharkiv. Nats. Univ., 2010, no. 932, no. 19(42), p. 70.

    CAS  Google Scholar 

  57. Bondarev, S.N., Zaitseva, I.S., and Bondarev, N.V., Butlerovsk. Soobshch., 2011, vol. 27, no. 14, p. 1.

    Google Scholar 

  58. Bondarev, S.N., Zaitseva, I.S., and Bondarev, N.V., Butlerovsk. Soobshch., 2011, vol. 27, no. 13, p. 36.

    Google Scholar 

  59. Bondarev, S.N., Zaitseva, I.S., and Bondarev, N.V., Butlerovsk. Soobshch., 2011, vol. 27, no. 16, p. 15.

    Google Scholar 

  60. Bondarev, N.V., Ukr. Khim. Zh., 1995, vol. 61, no. 11, p. 14.

    CAS  Google Scholar 

  61. Bondarev, N.V., Ukr. Khim. Zh., 1998, vol. 64, no. 8, p. 85.

    CAS  Google Scholar 

  62. Bondarev, N.V., Zh. Obshch. Khim., 1999, vol. 69, no. 2, p. 229.

    Google Scholar 

  63. Bondarev, N.V., Zh. Fiz. Khim., 1999, vol. 73, no. 6, p. 1019.

    CAS  Google Scholar 

  64. Bondarev, N.V., Russ. J. Gen. Chem., 2006, vol. 76, no. 7, p. 11. https://doi.org/10.1134/s1070363206010038

    Article  CAS  Google Scholar 

  65. Bondarev, N.V., Equilibrium Thermodynamics. Environment Effects and Neural Network Analysis, Saarbrucken: LAP LAMBERT Academic Publishing, 2012.

  66. Christy, F.A. and Shrivastav, P.S., Crit. Rev. Anal. Chem., 2011, vol. 41, no. 3, p. 236. https://doi.org/10.1080/10408347.2011.589284

    Article  CAS  Google Scholar 

  67. Rodgers, M.T. and Armentrout, P.B., Chem. Rev., 2016, vol. 116, no. 9, p. 5642. https://doi.org/10.1021/acs.chemrev.5b00688

    Article  CAS  PubMed  Google Scholar 

  68. Marcus, Y., The Properties of Solvents, Chichester: John Wiley & Sons, 1999, vol. 4. 399 p.

  69. Shannon, R.D. and Prewitt, C.T., Acta Crystallogr. (B), 1969, vol. 25, no. 5, p. 925. https://doi.org/10.1107/s0567740869003220

    Article  CAS  Google Scholar 

  70. Ouchi, M., Inoue, Y., Kanzaki, T., and Hakushi, T., J. Org. Chem., 1984, vol. 49, no. 8, p. 1408. https://doi.org/10.1021/jo00182a017

    Article  CAS  Google Scholar 

  71. Takeda, Y., Mochizuki, Y., Tanaka, M., Kudo, Y., Katsuta, S., and Ouchi, M., J. Incl. Phenom. Macrocycl. Chem., 1999, vol. 33, no. 2, p. 217. https://doi.org/10.1023/a:1008099827420

    Article  CAS  Google Scholar 

  72. Eliseeva, I.I. and Yuzbashev, M.M., Obshchaya teoriya statistiki (General Theory of Statistics), Moscow: Finansy i Statistika, 2004.

  73. Kasyuk, S.T., Pervichnyi, klasternyi, regressionnyi i diskriminantnyi analiz dannykh sportivnoi meditsiny na komp’yutere (Primary, Cluster, Regression, and Discriminant Analysis of Sports Medicine Data on a Computer), Chelyabinsk: Ural’skaya Akademiya, 2015.

  74. Lemeshko, B.Yu., Kriterii proverki otkloneniya raspredeleniya ot normal’nogo zakona. Rukovodstvo po primeneniyu (Criteria for Checking the Deviation of the Distribution from the Normal Law. Application Guide), Novosibirsk: NGTU, 2014.

  75. Tong, С., Am. Stat., 2019, vol. 73, no. 1, p. 246. https://doi.org/10.1080/00031305.2018.1518264

    Article  Google Scholar 

  76. Breiman, L., Friedman, J., Olshen, R., and Stone, C., Classification and Regression Trees, Belmont: Wadsworth International Group, 1984.

  77. Nocedal, J. and Wright, S.J., Numerical Optimization, Dordrecht: Springer, 2006.

  78. Al-Baali, M., Spedicato, E., and Maggioni, F., Optimization Methods and Software, 2013, vol. 29, no. 5, p. 937. https://doi.org/10.1080/10556788.2013.856909

    Article  Google Scholar 

  79. Izatt, R.M., Bradshaw, J.S., Nielsen, S.A., Lamb, J.D., Christensen, J.J., and Sen, D., Chem. Rev., 1985, vol. 85, no. 4, p. 271. https://doi.org/10.1021/cr00068a003

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. V. Bondarev.

Ethics declarations

No conflict of interest was declared by the author.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bondarev, N.V. Exploratory, Regression, and Neural Network Analysis of the Stability of Cation Coronates in Selected Pure Solvents. Russ J Gen Chem 90, 1906–1920 (2020). https://doi.org/10.1134/S107036322010014X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S107036322010014X

Keywords:

Navigation