Comparative analyses of Weibull model and conventional kinetics models of drug release of formulated multi-component tablets

Al-Ali, Maha

doi:10.30772/qjes.2024.148019.1175

	Comparative analyses of Weibull model and conventional kinetics models of drug release of formulated multi-component tablets
Al-Qadisiyah Journal for Engineering Sciences
Article 1, Volume 18, Issue 2, June 2025, Pages 107-116 PDF (7.68 M)
Document Type: Research Paper
DOI: 10.30772/qjes.2024.148019.1175
Author
Maha Al-Ali^*
Petroleum and Gas Refining Department, College of Petroleum Processes Engineering, Tikrit University, Iraq.
Abstract
The Kinetics study of drug release is an essential requirement to examine the capability of the drug formulation to modulate with the typical drug release profile. In the present work, hence, Weibull model and other traditional drug release models are selected to investigate the release of tablets prepared using different drying techniques in a simulated abdominal solution. These tablets are prepared using electromagnetic microwave irradiation tablet (MVT), convective drying (CVT), freeze drying (FRT), vacuum drying (VAT), and that without drying process (NDT). This study aims to compare the Weibull models with other conventional drug release models in inspecting the kinetics of the drug release of all tablets. These models are the Zero-Order, Higuchi, First-Order, Hixson-Crowell, and Korsmeyer-Peppas. This work delves into the best kinetic model that defined the tablets' release mechanisms including the new multi-component tablets (MVT), to ensure their releases are on appropriate behavior. The results show that the Weibull model is the best model to present the release profile of all tablets except for MVT and VAT tablets, while Higuchi gets the optimal model. Among the conventional models, Higuchi, Korsmeyer-Peppas, and Hixon-Crowell are the best conventional models that fit all types of tablets. Based on the Weibull model factor, non-Fickian diffusion is the dominant release mechanism for NDT and VAT. Though Fick diffusion controls the drug release mechanism of FTR, CVT, and MVT tablets. Additionally, three modified models were created and found to be more convenient to denote the release of the formulated tablets with very high accuracy.
Keywords
Kinetics; Modeling; Drug release; Korsemeyer-Peppas; Weibull; Fickian diffusion; Erosion

References
Borandeh, S., B. Van Bochove, A. Teotia, and J. Seppälä, Polymeric drug delivery systems by additive manufacturing. Advanced drug delivery reviews, 2021. 173: p. 349-373. Samineni, R., J. Chimakurthy, and S. Konidala, Emerging Role of Biopharmaceutical Classification and biopharmaceutical drug disposition system in dosage form development: A Systematic Review. Turkish journal of pharmaceutical sciences, 2022. 19(6): p. 706. Khan, D., D. Kirby, S. Bryson, M. Shah, and A.R. Mohammed, Paediatric specific dosage forms: Patient and formulation considerations. International journal of pharmaceutics, 2022. 616: p. 121501. Malkawi, W.A., E. AlRafayah, M. AlHazabreh, S. AbuLaila, and A.M. Al-Ghananeem, Formulation challenges and strategies to develop pediatric dosage forms. Children, 2022. 9(4): p. 488. Thakore, S.D., A. Sirvi, V.C. Joshi, S.S. Panigrahi, A. Manna, R. Singh, A.T. Sangamwar, and A.K. Bansal, Biorelevant dissolution testing and physiologically based absorption modeling to predict in vivo performance of supersaturating drug delivery systems. International Journal of Pharmaceutics, 2021. 607: p. 120958. Wilson, C.G. and P.J. Crowley, Controlled release in oral drug delivery. 2011: Springer. Gokhale, A., Achieving zero-order release kinetics using multi-step diffusion-based drug delivery. Pharmaceutical Technology, 2014. 38(5). Al-Ali, M.I., A.I. Abdullah, M. Mohammad, and K.I. Al-Ali, Estimating and Modelling the Interrelationships between Physicochemical Pollutants of Samara Drug Factory Wastewater. European Journal of Scientific Research, 2011. 61(2): p. 230–241. Arif, Z., A CONCISE REVIEW ON CONTROLLED DRUG RELEASE DEVICES: MODELS, DELIVERY DEVICES. The Pharmstudent, 2016. 27: p. 79-91. Malekjani, N. and S.M. Jafari, Modeling the release of food bioactive ingredients from carriers/nanocarriers by the empirical, semiempirical, and mechanistic models. Comprehensive Reviews in Food Science and Food Safety, 2021. 20(1): p. 3-47. Trucillo, P., Drug carriers: A review on the most used mathematical models for drug release. Processes, 2022. 10(6): p. 1094. Nazir, S., M.U.A. Khan, W.S. Al-Arjan, S.I. Abd Razak, A. Javed, and M.R.A. Kadir, , Nanocomposite hydrogels for melanoma skin cancer care and treatment: In-vitro drug delivery, drug release kinetics and anti-cancer activities. Arabian Journal of Chemistry, 2021. 14(5): p. 103120. Adepu, S. and S. Ramakrishna, Controlled drug delivery systems: current status and future directions. Molecules, 2021. 26(19): p. 5905. Abasian, P., S. Shakibi, M.S. Maniati, S. Nouri Khorasani, and S. Khalili, Targeted delivery, drug release strategies, and toxicity study of polymeric drug nanocarriers. Polymers for Advanced Technologies, 2021. 32(3): p. 931-944. Askarizadeh, M., N. Esfandiari, B. Honarvar, S.A. Sajadian, A. Azdarpour, Kinetic modeling to explain the release of medicine from drug delivery systems. ChemBioEng Reviews, 2023. 10(6): p. 1006-1049. Santadkha, T., W. Skolpap, and V. Thitapakorn, Diffusion Modeling and in vitro release kinetics studies of curcumin− loaded superparamagnetic nanomicelles in cancer drug delivery system. Journal of Pharmaceutical Sciences, 2022. 111(6): p. 1690-1699. Nokhodchi, A., S. Raja, P. Patel, and K. Asare-Addo, The role of oral controlled release matrix tablets in drug delivery systems. BioImpacts: BI, 2012. 2(4): p. 175. Lucio, D., A. Zornoza, and M.C. Martínez-Ohárriz, Role of microstructure in drug release from chitosan amorphous solid dispersions. International Journal of Molecular Sciences, 2022. 23(23): p. 15367. Talevi, A. and M.E. Ruiz, Korsmeyer-Peppas, Peppas-Sahlin, and Brazel-Peppas: Models of Drug Release, in The ADME Encyclopedia: A Comprehensive Guide on Biopharmacy and Pharmacokinetics. 2022, Springer. p. 613-621. Jahromi, L.P., Ghazali, Mohammad, Ashrafi, Hajar and A. Azadi, A comparison of models for the analysis of the kinetics of drug release from PLGA-based nanoparticles. Heliyon, 2020. 6(2). Shi, N., K. Sun, Z. Zhang, J. Zhao, L. Geng, and Y. Lei, Amino-modified carbon dots as a functional platform for drug delivery: Load-release mechanism and cytotoxicity. Journal of Industrial and Engineering Chemistry, 2021. 101: p. 372-378. Jafari, M. and B. Kaffashi, Mathematical Kinetic Modeling on Isoniazid Release from Dex-HEMA-PNIPAAm Nanogels. Nanomedicine Research Journal, 2016. 1(2): p. 90-96. Chime, S., G. Onunkwo, and I. Onyishi, Kinetics and mechanisms of drug release from swellable and non swellable matrices: a review. Res J Pharm Biol Chem Sci, 2013. 4(2): p. 97-103. Abubakr, N., S.X. Lin, and X.D. Chen, Effects of drying methods on the release kinetics of vitamin B12 in calcium alginate beads. Drying Technology, 2009. 27(11): p. 1258-1265. Ahsan, W., S. Alam, S. Javed, H.A. Alhazmi, M. Albratty, A. Najmi, and M.H. Sultan, Study of Drug Release Kinetics of Rosuvastatin Calcium Immediate-Release Tablets Marketed in Saudi Arabia. Dissolution Technol, 2022. 29: p. GC1. Pflieger, T., R. Venkatesh, M. Dachtler, K. Cooke, S. Laufer, and D. Lunter, Influence of design parameters on sustained drug release properties of 3D-printed theophylline tablets. International Journal of Pharmaceutics, 2024. 658: p. 124207. Barzegar-Jalali, M., Kinetic analysis of drug release from nanoparticles. Journal of Pharmacy & Pharmaceutical Sciences, 2008. 11(1): p. 167-177. de Jesús Martín-Camacho, U., N. Rodríguez-Barajas, J.A. Sánchez-Burgos, and A. Pérez-Larios, Weibull β value for the discernment of drug release mechanism of PLGA particles. International Journal of Pharmaceutics, 2023. 640: p. 123017. Stoev, S.N., S.R. Gueоrguiev, V.G. Madzharov, and H.V. Lebanova, Naproxen in pain and inflammation–a review. Int J Pharm Phytopharm Res, 2021. 11(1): p. 142-8. Zhdan, V., M.Y. Babanina, Y.M. Kitura, M.V. Tkachenko, Y.V. Rybalchenko, and T.M. Savuliak, Non-steroidal anti-inflammatory drugs in the treatment of rheumatological patients with comorbidity. Al-Ali, M., A. Alsamarrae, K.I. Salih, S. Pairsamy, and R. Parthasarathy, Impacts of the high moisture wet granulation and novel microwave drying on the textural characteristics of pharmaceutical particles. in IOP Conference Series: Materials Science and Engineering. 2018. IOP Publishing. Al-Ali, M., P. Selvakannan, and R. Parthasarathy, Influences of novel microwave drying on dissolution of new formulated naproxen sodium. RSC Advances, 2018. 8(29): p. 16214-16222. Al-Ali, M. and R. Parthasarathy, Modeling and kinetics study of novel microwave irradiation drying of naproxen sodium drug. Powder Technology, 2019. 345: p. 766-774. Gao, F., D. Li, Dong, C. Bi, Z. Mao, and B. Adhikari, The adsorption and release characteristics of CPFX in porous starch produced through different drying methods. Drying technology, 2013. 31(13-14): p. 1592-1599. Madagul, J.K., D.R. Parakh, R.S. Kumar, and R.R. Abhang, Formulation and evaluation of solid self-microemulsifying drug delivery system of chlorthalidone by spray drying technology. Drying Technology, 2017. 35(12): p. 1433-1449. AL-Kamarany, M.A., EL. Karbane, K. Ridouan, F.K. Alanazi, P. Hubert, Y. Cherrah, and A. Bouklouze, Transfer of drug dissolution testing by statistical approaches: Case study. Saudi Pharmaceutical Journal, 2012. 20(1): p. 93-101. Estevinho, B.N. and F. Rocha, Kinetic models applied to soluble vitamins delivery systems prepared by spray drying. Drying Technology, 2017. 35(10): p. 1249-1257. Dumpa, N., A. Butreddy, H. Wang, N. Komanduri, S. Bandari, and M.A. Repka, 3D printing in personalized drug delivery: An overview of hot-melt extrusion-based fused deposition modeling. International journal of pharmaceutics, 2021. 600: p. 120501. Laracuente, M.-L., H.Y. Marina, and K.J. McHugh, Zero-order drug delivery: State of the art and future prospects. Journal of Controlled Release, 2020. 327: p. 834-856. Jafari, S., M. Soleimani, and M. Badinezhad, Application of different mathematical models for further investigation of in vitro drug release mechanisms based on magnetic nano-composite. Polymer Bulletin, 2022: p. 1-18. Ahmed, O.A., S.M. Badr-Eldin, and T.A. Ahmed, Kinetic study of the in vitro release and stability of theophylline floating beads. Int J Pharm Pharm Sci, 2013. 5(1). Mohseni-Motlagh, S.F., R. Dolatabadi, M. Baniassadi, M. Karimpour, and M. Baghani, Tablet Geometry Effect on the Drug Release Profile from a Hydrogel-Based Drug Delivery System. Pharmaceutics, 2023. 15(7): p. 1917. Obeid, S., M. Madžarević, M. Krkobabić, and S. Ibrić, Predicting drug release from diazepam FDM printed tablets using deep learning approach: Influence of process parameters and tablet surface/volume ratio. International Journal of Pharmaceutics, 2021. 601: p. 120507. Corsaro, C., G. Neri, A.M. Mezzasalma, and E. Fazio, Weibull modeling of controlled drug release from Ag-PMA Nanosystems. Polymers, 2021. 13(17): p. 2897. Costa, P. and J.M.S. Lobo, Modeling and comparison of dissolution profiles. European journal of pharmaceutical sciences, 2001. 13(2): p. 123-133. Shaikh, H.K., R. Kshirsagar, and S. Patil, Mathematical models for drug release characterization: a review. Wjpps, 2015. 4: p. 324-338. Saidi, M., A. Dabbaghi, and S. Rahmani, Swelling and drug delivery kinetics of click-synthesized hydrogels based on various combinations of PEG and star-shaped PCL: Influence of network parameters on swelling and release behavior. Polymer Bulletin, 2020. 77: p. 3989-4010. Siepmann, J. and N. Peppas, Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose (HPMC). Advanced drug delivery reviews, 2012. 64: p. 163-174. Merchant, H.A., H.M. Shoaib, J. Tazeen, and R.I. Yousuf, Once-daily tablet formulation and in vitro release evaluation of cefpodoxime using hydroxypropyl methylcellulose: a technical note. AAPS pharmscitech, 2006. 7(3): p. E178-E183. Timotius, D., Kusumastuti, Yuni and N.A.C. Imani, Putri, Nur Rofiqoh Eviana, Rahayu, Suprihastuti Sri, Wirawan, Sang Kompiang, Ikawati, Muthi, Kinetics of drug release profile from maleic anhydride-grafted-chitosan film. Materials Research Express, 2020. 7(4): p. 046403. Moshayedi, S., H. Sarpoolaky, and A. Khavandi, In Vitro Release Kinetics of Curcumin From Thermosensitive Gelatin-Chitosan Hydrogels Containing Zinc Oxide Nanoparticles. Iranian Journal of Materials Science and Engineering, 2022. 19(2): p. 1-10. Arisoy, S. and T. Comoglu, Kinetic evaluation of L-Dopa loaded WGA-grafted nanoparticles. Sci, 2020. 9: p. 385-388. Holowka, E. and S.K. Bhatia, Drug Delivery: Materials Design and Clinical Perspective. 2014: Springer. Mehta, R., A. Chawla, P. Sharma, and P. Pawar, Formulation and in vitro evaluation of Eudragit S-100 coated naproxen matrix tablets for colon-targeted drug delivery system. Journal of advanced pharmaceutical technology & research, 2013. 4(1): p. 31. Raval, J.P., D.R. Naik, and P.S. Patel, Spray-dried cefixime encapsulated poly (lactide-co-glycolide) microparticles: characterization and evaluation of in vitro release kinetics with antibacterial activity. Drying technology, 2012. 30(8): p. 865-872. Singh, K., Study of Drug Release Profiles Obtained by Auto-dilution and Auto-mixing of Dissolution Aliquots of Naproxen Sodium Tablets IP: A Statistical Evaluation. Asian Journal of Pharmaceutics (AJP): Free full text articles from Asian J Pharm, 2016. 10(04). Liu, C., K.G.H. Desai, X. Tang, and X. Chen, Drug release kinetics of spray-dried chitosan microspheres. Drying Technology, 2006. 24(6): p. 769-776. Fu, Y. and W.J. Kao, Drug release kinetics and transport mechanisms of non-degradable and degradable polymeric delivery systems. Expert opinion on drug delivery, 2010. 7(4): p. 429-444. Kobryń, J., S. Sowa, M. Gasztych, A. Dryś, and W. Musiał, Influence of hydrophilic polymers on the β factor in weibull equation applied to the release kinetics of a biologically active complex of aesculus hippocastanum. International Journal of Polymer Science, 2017. 2017(1): p. 3486384. García-Curiel, L., J.G. Pérez-Flores, E. Contreras-López, E. Pérez-Escalante, Emmanuel and R. Paz-Samaniego, Evaluating the application of an arabinoxylan-rich fraction from brewers’ spent grain as a release modifier of drugs. Natural Product Research, 2024. 38(10): p. 1759-1765. Dixit, M., P.K. Kulkarni, and R.N. Charyulu, Enhancing solubility and dissolution of naproxen by spray drying technique. World J Pharm Pharma Sci, 2015. 4: p. 715-25. Bansal, P., K. Haribhakti, V. Subramanian, and F. Plakogiannis, Effect of formulation and process variables on the dissolution profile of naproxen sodium from tablets. Drug development and industrial pharmacy, 1994. 20(13): p. 2151-2156. Singhvi, G. and M. Singh, In-vitro drug release characterization models. Int J Pharm Stud Res, 2011. 2(1): p. 77-84. Wang, B., X. Sun, J. Xiang, X. Guo, Z. Cheng, W. Liu, and S. Tan, A critical review on granulation of pharmaceuticals and excipients: Principle, analysis and typical applications. Powder Technology, 2022. 401: p. 117329. Al-Ali, M., S. Periasamy, and R. Parthasarathy, Novel drying of formulated naproxen sodium using microwave radiation: Characterization and energy comparison. Powder Technology, 2018. 334: p. 143-150.
Statistics Article View: 927 PDF Download: 954