Abstract
To determine the solubility of the drug compounds in supercritical fluid carbon dioxide, several models could be developed to avoid the time-consuming computations with poor results. Theoretical methods are applied to limit the expensive experimental apparatus and strenuous manual labor. In this study, a radial basis function neural network (RBFNN) was used to predict the solubility of some 1,4-dihydropyridine derivative drugs in supercritical fluid carbon dioxide. The solubility of drugs was predicted based on the pressure, temperature, molecular weight, melting point, density, carbon number, and hydrogen number. The predicted solubility obtained by RBFNN was compared to experimental data. The root mean square error (RMSE), determination coefficient (R2), mean bias error, mean absolute error, modified agreement index (md), and modified Nash and Sutcliffe efficiency were determined. The square regression coefficient was obtained between 0.981 and 0.99 for each and overall compound. According to the results, this model can be reliably used to investigate the solubility of drugs by known physical properties. Finally, the sensitivity analyses considered the effects of inputs using a nonlinear relation. The results showed that pressure and density indicated the highest effective input variables while temperature was the lowest sensitive variable.
Similar content being viewed by others
References
Abdi-Khanghah M, Bemani A, Naserzadeh Z, Zhang Z (2018) Prediction of solubility of N-alkanes in supercritical CO2 using RBF-ANN and MLP-ANN. J CO2 Util 25:108–119. https://doi.org/10.1016/j.jcou.2018.03.008
Amar MN (2020) Modeling solubility of sulfur in pure hydrogen sulfide and sour gas mixtures using rigorous machine learning methods. Int J Hydrog Energy 45:33274–33287. https://doi.org/10.1016/j.ijhydene.2020.09.145
Baghban AR, Jalali A, Mohammadi AH, Habibzadeh S (2018) Efficient modeling of drug solubility in supercritical carbon dioxide. J Supercrit Fluids 133:466–478. https://doi.org/10.1016/j.supflu.2017.10.032
Beckman EJ (2004) Supercritical and near-critical CO2 in green chemical synthesis and processing. J Supercrit Fluids 28:121–191
Chen C-T, Lee C-A, Tang M, Chen Y-P (2017) Experimental investigation for the solubility and micronization of pyridin-4-amine in supercritical carbon dioxide. J CO2 Util 18:173–180. https://doi.org/10.1016/j.jcou.2017.01.020
Fossheim R (1986) Crystal structure of the dihydropyridine calcium antagonist felodipine. Dihydropyridine binding prerequisites assessed from crystallographic data. J Med Chem 29:305–307. https://doi.org/10.1021/jm00152a023
Gharagheizi F, Eslamimanesh A, Farjood F, Mohammadi AH, Richon D (2011) Solubility parameters of nonelectrolyte organic compounds: determination using quantitative structure-property relationship strategy. Ind Eng Chem Res 50:11382–11395
Hemmateenejad B, Shamsipur M, Miri R, Elyasi M, Foroghinia F, Sharghi H (2008) Linear and nonlinear quantitative structure–property relationship models for solubility of some anthraquinone, anthrone and xanthone derivatives in supercritical carbon dioxide. Anal Chim Acta 610:25–34
Hu P, Jiao Z, Zhang Z, Wang Q (2021) Development of solubility prediction models with ensemble learning. Ind Eng Chem Res 60:11627–11635
Kan P, Lee CJ (1996) A neural network model for prediction of phase equilibria in aqueous two-phase extraction. Ind Eng Chem Res 35:2015–2023. https://doi.org/10.1021/ie9504819
Khajeh M, Barkhordar A (2013) Modelling of solid-phase tea waste extraction for the removal of manganese from food samples by using artificial neural network approach. Food Chem 141:712–717. https://doi.org/10.1016/j.foodchem.2013.04.075
Khajeh M, Yamini Y, Miri R, Hemmateenejad B (2005a) Solubilities of some phenyl derivatives of dialkyl 1,4-dihydro-2,6-dimethyl-4-(1-methyl-5-nitro-imidazol-2-yl)-3,5-pyridinedicarboxylates in supercritical carbon dioxide. Part II J Chem Eng Data 50:348–351. https://doi.org/10.1021/je0497092
Khajeh M, Yamini Y, Miri R, Hemmateenejad B (2005b) Solubilities of some cyclohexyl derivatives of dialkyl 1,4-dihydro-2,6-dimethyl-4-(1-methyl-5-nitro-imidazol-2-yl)-3,5-pyridinedicarboxylates (nifedipine analogues) in supercritical carbon dioxide. Part I J Chem Eng Data 50:344–347
Khajeh M, Kaykhaii M, Sharafi A (2013) Application of PSO-artificial neural network and response surface methodology for removal of methylene blue using silver nanoparticles from water samples. J Ind Eng Chem 19:1624–1630
Khajeh M, Sarafraz-Yazdi A, Fakhrai Moghadam A (2017) Modeling of solid-phase tea waste extraction for the removal of manganese and cobalt from water samples by using PSO-artificial neural network and response surface methodology. Arab J Chem 10:S1663–S1673. https://doi.org/10.1016/j.arabjc.2013.06.011
Lashkarbolooki M, Vaferi B, Rahimpour MR (2011) Comparison the capability of artificial neural network (ANN) and EOS for prediction of solid solubilities in supercritical carbon dioxide. Fluid Phase Equilib 308:35–43. https://doi.org/10.1016/j.fluid.2011.06.002
Liu C, Chen Z, Chen Y, Lu J, Li Y, Wang S, Wu G, Qian F (2016) Improving oral bioavailability of sorafenib by optimizing the “Spring” and “Parachute” based on molecular interaction mechanisms. Mol Pharm 13:599–608. https://doi.org/10.1021/acs.molpharmaceut.5b00837
Longo GA, Ortombina L, Zigliotto M (2018) Application of artificial neural network (ANN) for modelling H2O/KCOOH (potassium formate) dynamic viscosity. Int J Refrig 86:435–440. https://doi.org/10.1016/j.ijrefrig.2017.11.033
Lv H, Tian D (2021) Designing and optimizing a parallel neural network model for predicting the solubiolity of diosgenin in n-alkanol. Chin J Chem Eng 29:288–294. https://doi.org/10.1016/j.cjche.2020.09.009
Moodley K, Rarey J, Ramjugernath D (2017) Experimental solubility of diosgenin and estriol in various solvents between T = (293.2–328.2) K. J Chem Thermodyn 106:199–207. https://doi.org/10.1016/j.jct.2016.11.017
Reverchon E (1999) Supercritical antisolvent precipitation of micro-and nano-particles. J Supercrit Fluids 15:1–21. https://doi.org/10.1016/S0896-8446(98)00129-6
Rouhani A, Azimzadeh H, Sotoudeh A, Kiani B (2022) Analysis of soil phosphate as a tool in archaeology, case study, Rivi, North Khorasan, Iran. J Sist Baluch Stud 2(1):1–9
Shaikh Baikloo Islam B (2021) Monsoon oscillation and cultural evolution: the flourishing and collapse of civilization in southeast Iran during the third millennium BCE. J Sist Baluch Stud 1(1):1–9
Shen W, Guo X, Wu C, Wu D (2011) Forecasting stock indices using radial basis function neural networks optimized by artificial fish swarm algorithm. Knowl Based Syst 24:378–385. https://doi.org/10.1016/j.knosys.2010.11.001
Sodeifian G, Hazaveie SM, Sajadian SA, Razmimanesh F (2019) Experimental investigation and modeling of the solubility of oxcarbazepine (an anticonvulsant agent) in supercritical carbon dioxide. Fluid Phase Equilib 493:160–173. https://doi.org/10.1016/j.fluid.2019.04.013
Sodeifian G, Razmimanesh F, Sajadian SA (2020) Prediction of solubility of sunitinib malate (an anti-cancer drug) in supercritical carbon dioxide (SC-CO2): experimental correlations and thermodynamic modeling. J Mol Liq 297:111740. https://doi.org/10.1016/j.molliq.2019.111740
Sparks DL, Hernandez R, Estévez LA (2008) Evaluation of density-based models for the solubility of solids in supercritical carbon dioxide and formulation of a new model. Chem Eng Sci 63(17):4292–4301. https://doi.org/10.1016/j.ces.2008.05.031
Ye K, Zhang Y, Yang L, Zhao Y, Li N, Xie C (2019) Modeling convective heat transfer of supercritical carbon dioxide using an artificial neural network. Appl Therm Eng 150:686–695. https://doi.org/10.1016/j.applthermaleng.2018.11.031
Acknowledgements
This work was supported by the University of Zabol (Grant No. IR-UOZ-GR-8175).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Byabani-Givo, A., Khajeh, M., Bohlooli, M. et al. Prediction of solubility of some dihydropyridine derivative drugs in supercritical fluid carbon dioxide by RBFNN. Netw Model Anal Health Inform Bioinforma 11, 37 (2022). https://doi.org/10.1007/s13721-022-00380-4
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s13721-022-00380-4