Predicting anti‑cancer drugs’ dissolution in supercritical carbon dioxide
Main Article Content
Abstract
There are many different kinds of chemotherapy or chemo drugs are used for treating cancer. All of These medicine from chemical composition, how they are prescribed and given, how useful they are in treating certain types of cancer, and the side effects they might have. Nobody can deny that all medicines to treat cancer work in the different ways. The solubility of Azathioprine, as an immunosuppressive and anti-cancer drug, in supercritical carbon dioxide (SC-CO2) was measured for the first time. Under the applied conditions in terms of pressure (120–270 bar) and temperature (308–338 K), mole fractions were obtained in the range of 0.27 × 10−5 to 1.83 × 10−5. Three types of methods including (1) two equations of states (EoSs), namely Peng-Robinson (PR) and Soave–Redlich–Kwong (SRK) with vdW2 mixing rule (2) expanded liquid theory (3) nine semi-empirical density-based models were selected to correlate the solubility data of drug. Our developed correlation presents the absolute average relative deviation (AARD) of 9.54% for predicting 316 experimental measurements. After all we show that, the most accurate correlation in the literature presents the AARD = 14.90% over the same database. Furthermore, 56.2% accuracy improvement in the solubility prediction of the anti‑cancer drugs in supercritical CO2 is the primary outcome of the current study.
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References
Kiran, E., Debenedetti, P. G. & Peters, C. J. Supercritical Fluids: Fundamentals and Applications (Springer Science & Business Media, 2012.
Hozhabr, S. B., Mazloumi, S. H. & Sargolzaei, J. Correlation of solute solubility in supercritical carbon dioxide using a new empirical
equation. Chem. Eng. Res. Des. 92, 2734–2739 (2014).
Li, M. J., Zhu, H. H., Guo, J. Q., Wang, K. & Tao, W. Q. he development technology and applications of supercritical CO2 power cycle in nuclear energy, solar energy and other energy industries. Appl. herm. Eng. 126, 255–275 (2017).
Faress, F., Yari, A., Rajabi Kouchi, F. et al. Developing an accurate empirical correlation for predicting anti-cancer drugs’ dissolution in supercritical carbon dioxide. Sci Rep 12, 9380 (2022). https://doi.org/10.1038/s41598-022-13233-x
Huang T, Li J, Liu X, Shi B, Li S and An H-X (2022) An integrative pan cancer analysis revealing the difference in small ring finger family of SCF E3 ubiquitin ligases. Front. Immunol. 13:968777. doi: 10.3389/fimmu.2022.968777
Coimbra, P., Duarte, C. M. M. & De Sousa, H. C. Cubic equation-of-state correlation of the solubility of some anti-inflammatory drugs in supercritical carbon dioxide. Fluid Phase Equilib. 239, 188–199 (2006).
Sodeifian, G., Saadati Ardestani, N., Sajadian, S. A. & Panah, H. S. Measurement, correlation and thermodynamic modeling of the solubility of Ketotifen fumarate (KTF) in supercritical carbon dioxide: Evaluation of PCP-SAFT equation of state. Fluid Phase Equilib. 458, 102–114 (2018).
Yang, H. & Zhong, C. Modeling of the solubility of aromatic compounds in supercritical carbon dioxide-cosolvent systems using
SAFT equation of state. J. Supercrit. Fluids 33, 99–106 (2005).
Huang, Z., Kawi, S. & Chiew, Y. C. Application of the perturbed Lennard-Jones chain equation of state to solute solubility in supercritical carbon dioxide. Fluid Phase Equilib. 216, 111–122 (2004).
Yang, M. et al. Predictive model for minimum chip thickness and size effect in single diamond grain grinding of zirconia ceramics under different lubricating conditions. Ceram. Int. 45, 14908–14920 (2019).
Chu, Y. M., Bashir, S., Ramzan, M. & Malik, M. Y. Model-based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects. Math. Methods Appl. Sci. https://doi.org/10.1002/ mma.8234 (2022).
Aim, K. & Fermeglia, M. Solubility of solids and liquids in supercritical fluids. Exp. Determ. Solubilities 86, 491–555 (2005).
Jouyban, A. et al. Solubility prediction in supercritical CO2 using minimum number of experiments. J. Pharm. Sci. 91, 1287–1295 (2002).
Kumar, S. K. & Johnston, K. P. Modelling the solubility of solids in supercritical fluids with density as the independent variable. J.
Supercrit. Fluids 1, 15–22 (1988).
Garlapati, C. & Madras, G. New empirical expressions to correlate solubilities of solids in supercritical carbon dioxide. Thermochim.
Acta 500, 123–127 (2010).
Bian, X. Q., Zhang, Q., Du, Z. M., Chen, J. & Jaubert, J. N. A five-parameter empirical model for correlating the solubility of solid compounds in supercritical carbon dioxide. Fluid Phase Equilib. 411, 74–80 (2016).
Bartle, K. D., Clifford, A. A., Jafar, S. A. & Shilstone, G. F. Solubilities of solids and liquids of low volatility in supercritical carbon dioxide. J. Phys. Chem. Ref. Data 20, 713–756 (1991).
Méndez-Santiago, J. & Teja, A. S. The solubility of solids in supercritical fluids. Fluid Phase Equilib. 158–160, 501–510 (1999).
Sodeifian, G., Razmimanesh, F. & Sajadian, S. A. Solubility measurement of a chemotherapeutic agent (Imatinib mesylate) in supercritical carbon dioxide: Assessment of new empirical model. J. Supercrit. Fluids 146, 89–99 (2019).
Fei, T., Jichu, Y., Hongyao, S. & Jiading, W. Study on the solubility of substances in supercritical fluids. J. Chem. Ind. Eng. 4, 402–409 (1989).
Gordillo, M. D., Blanco, M. A., Molero, A. & Martinez De LaOssa, E. Solubility of the antibiotic Penicillin G in supercritical carbon dioxide. J. Supercrit. Fluids 15, 183–190 (1999).
Vaferi, B., Karimi, M., Azizi, M. & Esmaeili, H. Comparison between the artiicial neural network, SAFT and PRSV approach in
obtaining the solubility of solid aromatic compounds in supercritical carbon dioxide. J. Supercrit. Fluids 77, 44–51 (2013).
Lashkarbolooki, M., Vaferi, B. & Rahimpour, M. R. Comparison the capability of artiicial neural network (ANN) and EOS for
prediction of solid solubilities in supercritical carbon dioxide. Fluid Ph. Equilib. 308, 35–43 (2011).
Cao, Y., Khan, A., Zabihi, S. & Albadarin, A. B. Neural simulation and experimental investigation of Chloroquine solubility in supercritical solvent. J. Mol. Liq. 333, 115942 (2021).
Zhao, T. H., Khan, M. I. & Chu, Y. M. Artiicial neural networking (ANN) analysis for heat and entropy generation in low of non-Newtonian luid between two rotating disks. Math. Methods Appl. Sci. https:// doi. org/ 10. 1002/ mma. 7310 (2021).
Park J, Cho J, Song EJ. Ubiquitin-proteasome system (Ups) as a target for
anticancer treatment. Arch Pharm Res (2020) 43(11):1144–61. doi: 10.1007/
s12272-020-01281-8
LaPlante G, Zhang W. Targeting the ubiquitin-proteasome system for cancer therapeutics by small-molecule inhibitors. Cancers (Basel) (2021) 13(12):3079. doi: 10.3390/cancers13123079
Li X, Elmira E, Rohondia S, Wang J, Liu J, Dou QP. A patent review of the ubiquitin ligase system: 2015-2018. Expert Opin Ther Pat (2018) 28(12):919–37. doi: 10.1080/13543776.2018.1549229
Ardley HC, Robinson PA. E3 ubiquitin ligases. Essays Biochem (2005) 41:15–30. doi: 10.1042/eb0410015
Berndsen CE, Wolberger C. New insights into ubiquitin E3 ligase mechanism.
Nat Struct Mol Biol (2014) 21(4):301–7. doi: 10.1038/nsmb.2780
Zheng N, Schulman BA, Song L, Miller JJ, Jeffrey PD, Wang P, et al. Structure of the Cul1-Rbx1-Skp1-F Boxskp2 scf ubiquitin ligase complex. Nature (2002) 416 (6882):703–9. doi: 10.1038/416703a
Jackson PK, Eldridge AG. The scf ubiquitin ligase: An extended look. Mol Cell (2002) 9(5):923–5. doi: 10.1016/s1097-2765(02)00538-5
Senceroglu, S.; Ayari, M.A.; Rezaei, T.; Faress, F.; Khandakar, A.; Chowdhury, M.E.H.; Jawhar, Z.H. Constructing an Intelligent Model Based on Support Vector Regression to Simulate the Solubility of Drugs in Polymeric Media. Pharmaceuticals 2022, 15, 1405. https://doi.org/10.3390/ph15111405
Aim, K. & Fermeglia, M. Solubility of solids and liquids in supercritical fluids. Exp. Determ. Solubilities 86, 491–555 (2005).
Jouyban, A. et al. Solubility prediction in supercritical CO2 using minimum number of experiments. J. Pharm. Sci. 91, 1287–1295 (2002).
Kumar, S. K. & Johnston, K. P. Modelling the solubility of solids in supercritical fluids with density as the independent variable. J.
Supercrit. Fluids 1, 15–22 (1988).
Garlapati, C. & Madras, G. New empirical expressions to correlate solubilities of solids in supercritical carbon dioxide. Thermochim. Acta 500, 123–127 (2010).
Bian, X. Q., Zhang, Q., Du, Z. M., Chen, J. & Jaubert, J. N. A five-parameter empirical model for correlating the solubility of solid compounds in supercritical carbon dioxide. Fluid Phase Equilib. 411, 74–80 (2016).
Bartle, K. D., Clifford, A. A., Jafar, S. A. & Shilstone, G. F. Solubilities of solids and liquids of low volatility in supercritical carbon dioxide. J. Phys. Chem. Ref. Data 20, 713–756 (1991).
Méndez-Santiago, J. & Teja, A. S. The solubility of solids in supercritical fluids. Fluid Phase Equilib. 158–160, 501–510 (1999).
Sodeifian, G., Razmimanesh, F. & Sajadian, S. A. Solubility measurement of a chemotherapeutic agent (Imatinib mesylate) in supercritical carbon dioxide: Assessment of new empirical model. J. Supercrit. Fluids 146, 89–99 (2019).
Fei, T., Jichu, Y., Hongyao, S. & Jiading, W. Study on the solubility of substances in supercritical fluids. J. Chem. Ind. Eng. 4, 402–409 (1989).
Gordillo, M. D., Blanco, M. A., Molero, A. & Martinez De LaOssa, E. Solubility of the antibiotic Penicillin G in supercritical carbon dioxide. J. Supercrit. Fluids 15, 183–190 (1999).
Gao, T. et al. Dispersing mechanism and tribological performance of vegetable oil-based CNT nanofluids with different surfactants.
Tribol. Int. 131, 51–63 (2019).
Li, B. et al. Grinding temperature and energy ratio coefficient in MQL grinding of high-temperature nickel-base alloy by using different vegetable oils as base oil. Chinese J. Aeronaut. 29(4), 1084–1095 (2016).
Sun, Y.E.; Tao, J.; Zhang, G.G.Z.; Yu, L. Solubilities of crystalline drugs in polymers: An improved analytical method and comparison of solubilities of indomethacin and nifedipine in PVP, PVP/VA, and PVAc. J. Pharm. Sci. 2010, 99, 4023–4031. [CrossRef]
Song, K.; Wu, D. Shared decision-making in the management of patients with inflammatory bowel disease. World J. Gastroenterol.
, 28, 3092–3100. [CrossRef] [PubMed]
Duan, C.; Deng, H.; Xiao, S.; Xie, J.; Li, H.; Zhao, X.; Han, D.; Sun, X.; Lou, X.; Ye, C.; et al. Accelerate gas diffusion-weighted MRI
for lung morphometry with deep learning. Eur. Radiol. 2022, 32, 702–713. [CrossRef] [PubMed]
Zou, M.; Yang, Z.; Fan, Y.; Gong, L.; Han, Z.; Ji, L.; Hu, X.; Wu, D. Gut microbiota on admission as predictive biomarker for acute necrotizing pancreatitis. Front. Immunol. 2022, 13, 988326. [CrossRef] [PubMed]
Rafieipour, H.; Zadeh, A.A.; Moradan, A.; Salekshahrezaee, Z. Study of genes associated with Parkinson disease using feature selection. J. Bioeng. Res. 2020, 2, 1–11. [CrossRef]
Suykens, J.A.K.; van Gestel, T.; de Brabanter, J.; de Moor, B.; Vandewalle, J. Least Squares Support Vector Machines; World Scientific Publishing: Singapore, 2002.
Cao, Y.; Kamrani, E.; Mirzaei, S.; Khandakar, A.; Vaferi, B. Electrical efficiency of the photovoltaic/thermal collectors cooled by nanofluids: Machine learning simulation and optimization by evolutionary algorithm. Energy Rep. 2022, 8, 24–36. [CrossRef]
Jiang, Y., Zhang, G., Wang, J. & Vaferi, B. Hydrogen solubility in aromatic/cyclic compounds: Prediction by different machine learning techniques. Int. J. Hydrog. Energy 46, 23591–23602 (2021).
Vaferi, B., Eslamloueyan, R. & Ayatollahi, S. Application of recurrent networks to classification of oil reservoir models in well- testing analysis. Energy Sources Part A 37, 174–180 (2015).
Qiao, W., Li, Z., Liu, W. & Liu, E. Fastest-growing source prediction of US electricity production based on a novel hybrid model using wavelet transform. Int. J. Energy Res. 46, 1766–1788 (2022).
Zou, Q., Xing, P., Wei, L. & Liu, B. Gene2vec: Gene subsequence embedding for prediction of mammalian N6-methyladenosine sites from mRNA. RNA 25, 205–218 (2019).
Karimi, M., Vaferi, B., Hosseini, S. H., Olazar, M. & Rashidi, S. Smart computing approach for design and scale-up of conical spouted beds with open-sided draft tubes. Particuology 55, 179–190 (2020).
Guo, S. et al. Experimental evaluation of the lubrication performance of mixtures of castor oil with other vegetable oils in MQL grinding of nickel-based alloy. J. Clean. Prod. 140, 1060–1076 (2017).
