مدل سازی ریاضی برای رهایش پایدار و کنترل شده داروی چشمی تاکرولیموس بارگذاری شده برروی کیتوسان و نانو لیپوزوم
محورهای موضوعی : سنتز موادپریسا حسن شیخی 1 , الهام عامری 2 * , زهرا علیمحمدی 3
1 - دانشجوی دکترا، دانشکده فنی مهندسی، دانشگاه آزاد اسلامی، واحد شهرضا، ایران.
2 - دانشیار، گروه مهندسی شیمی، واحد نجف آباد، دانشگاه آزاد اسلامی، نجف آباد، ایران.
3 - استادیار، دانشکده فنی مهندسی، دانشگاه آزاد اسلامی، واحد شهرضا، ایران.
کلید واژه: کامپوزیت, نانو لیپوزوم, مورفولوژی, تاکرولیموس, کیتوسان,
چکیده مقاله :
در مطالعه در پیش رو بارگذاری فعال داروی تاکرولیموس برروی کامپوزیت لیپوزوم – کیتوسان بررسی شد. ساخت و بهبود دهی حامل ها بررسی و با تست های گوناگون مشخصه یابی شد و دارو بر روی حامل ها بارگذاری شد. مکانیسم های حمل و نقل در تحویل و رهایش کنترل شده داروهای مختلف به چشم بسیار پیچیده است. در این مطالعه دارو داخل یک ماتریکس لیپیدی قرار داده می‌شود و برای داروی چشمی مورد استفاده قرار می‌گیرد. مدل سازی رهایش به دلیل شرایط مرزی متحرک و شروط اولیه کمی پیچیده است، بنابراین در این مقاله از روش های ریاضی برای حل معادله رهایش در شرایط اولیه و مرزی استفاده شد. این معادلات ساده سازی می‌شوند تا بتوانند به صورت تحلیلی حل شوند. مطابق تمامی راه حل مدل ها، از روش جداسازی متغیرها استفاده می‌شود و این مطالعه پیشنهاد می‌کند سینتیک انتشار با بررسی و شناسایی مناسب ترین شرایط ریاضی یک دستاورد ضمنی خواهد بود و همچنان مدل های تجربی برای راه حل اول جهت بررسی رهایش باقی می مانند. به عنوان یک چشم انداز از آینده میتوان گفت نظریه های ریاضی مزایاو محدودیت های بالقوه ای دارند اما با هدف تسهیل طراحی سیستم های دارو رسانی و بهبود کارایی دارو مورد بحث قرار می‌گیرند. در این مطالعه نتایج نشان داد که بیشترین مقدار فاکتور ترواش پذیری مربوط به لیپوزوم ساخته شده از لیپید EPC است و کمترین مقادیر فاکتور ترواش پذیری مربوط به لیپوزوم ساخته شده از لیپید DPPC60 است.
In the present study, active loading of tacrolimus drug on liposome-chitosan composite was investigated. The construction and improvement of the carriers are investigated and characterized by various tests and the medicine was loaded on the carriers. Transport mechanisms in the delivery and controlled release of various drugs to the eye are very complex. In this study, it is placed inside a lipid matrix and used for drug administration. Release modeling is a bit complicated due to the moving and initial boundary conditions. Therefore, in this article, mathematical methods were used to solve the equation in initial and boundary conditions. These equations are simplified to be solved analytically. According to all the solutions of the models, the method of separation of variables is used and this study suggests that diffusion kinetics will be an implicit achievement by examining and identifying the most appropriate mathematical conditions and still experimental models for the first solution remain to be investigated. As a perspective of the future, it can be said that mathematical theories have potential advantages and limitations, but they are discussed with the aim of facilitating the design of drug delivery systems and improving drug efficiency. In this study, the results showed that the highest amount of permeability factor is related to the liposome made of EPC lipid and the lowest permeability factor values are related to the liposome made of DPPC60 lipid.
[1] F. de Meyer & S. Berend, "Effect of cholesterol on the structure of a phospholipid bilayer", Proceedings of the National Academy of Sciences, vol. 106, no. 10, pp. 3654-3658, 2009.
[2] T. Sengoku, S. Sakuma, S. Satoh, S. Kishi, T. Ogawa, Y. Ohkubo & et al, "Effect of FK506 eye drops on late and delayed‐type responses in ocular allergy models", Clinical & Experimental Allergy, vol. 33, no. 11, pp. 1555-1560, 2003.
[3] C. Decker, A. Fahr, J. Kuntsche & S. May, "Selective partitioning of cholesterol and a model drug into liposomes of varying size", Chemistry and Physics of Lipids, vol. 165, no. 5, pp. 520-529, 2012.
[4] M. J. W. Johnston & et al, "Influence of drug-to-lipid ratio on drug release properties and liposome integrity in liposomal doxorubicin formulations," Journal of liposome research, vol. 18, no. 2, pp. 145-157, 2008.
[5] R. Jayachandra Babu, Ch. Li & N. Kanikkannan, "Fatty alcohols, fatty acids, and fatty acid esters as penetration enhancers", Percutaneous Penetration Enhancers Chemical Methods in Penetration Enhancement: Modification of the Stratum Corneum, pp. 133-150, 2015.
[6] M. R. Mozafari, "Nanoliposomes: preparation and analysis", Liposomes: Methods and protocols, Pharmaceutical Nanocarriers, vol. 1, pp. 29-50, 2010.
[7] M. R. Mozafari, C. J. Reed & C. Rostron. "5-Fluorouracil encapsulated in colloidal lipid particles: entrapment, release and cytotoxicity evaluation in an airway cell line", Journal of Aerosol Medicine and Pulmonary Drug Delivery, vol. 17, no. 1, pp. 100-100, 2004.
[8] B. Rasti, S. Jinap & M. R. Mozafari, "Optimization on preparation condition of polyunsaturated fatty acids nanoliposome prepared by Mozafari method", Journal of Liposome Research, vol. 24, no. 2, pp. 99-105, 2014.
[9] M. Makkarian & E. Ameri, "The Effect of Silicon Carbide Ceramic Nanoparticles on the Tribological Properties of SN500HVI Paraffinic Base Oil", New Process in Material Engineering, vol. 16, no. 1, pp. 27-41, 2022.
[10] Danial Jafari Farsaani, Elham Ameri, Bubble Absorption Enhancement in Water-Based Nanofluids Using Nickel Oxide Nanoparticles in the Presence of Surfactant, New Process in Material Engineering, 2023, 17(1), 13-27.
[11] C. Mircioiu, V. Voicu, V. Anuta, A. Tudose, Ch. Celia, D. Paolino, M. Fresta,, R. Sandulovici & I. Mircioiu, "Mathematical modeling of release kinetics from supramolecular drug delivery systems", Pharmaceutics, vol. 11, p. 140, 2019.
[12] J. Crank, "The mathematics of diffusion", Oxford University Press: Oxford, 1975.
[13] K. D. Fugit, "Quantification of factors governing drug release kinetics from nanoparticles: a combined experimental and mechanistic modeling approach", 2014.
[14] H. Tsuchiya & M. Mizogami, "Interaction of local anesthetics with biomembranes consisting of phospholipids and cholesterol: mechanistic and clinical implications for anesthetic and cardiotoxic effects", Anesthesiology Research and Practice, 2013.
[15] A. Butu & et al. "Liposomal nanodelivery system for proteasome inhibitor anticancer drug bortezomib", Farmacia, vol. 63, no. 2, pp. 224-229, 2015.
[16] G. Enden & S. Avi, "A mathematical model of drug release from liposomes by low frequency ultrasound", Annals of biomedical engineering, vol. 37, pp. 2640-2645, 2009.
[17] J. M. Diamond & K. Yehuda, "Interpretation of nonelectrolyte partition coefficients between dimyristoyl lecithin and water", The Journal of Membrane Biology, vol. 17, pp. 121-154, 1974.
[18] P. T. Mayer & B. D. Anderson, "Transport across 1, 9-decadiene precisely mimics the chemical selectivity of the barrier domain in egg lecithin bilayers", Journal of Pharmaceutical Sciences, vol. 91, no. 3, pp. 640-646, 2002.
[19] T. X. Xiang & B. D. Anderson, "Permeability of acetic acid across gel and liquid-crystalline lipid bilayers conforms to free-surface-area theory", Biophysical Journal, vol. 72, no. 1, pp. 223-237, 1997.
[20] T. X. Xiang & B. D. Anderson, "Influence of chain ordering on the selectivity of dipalmitoylphosphatidylcholine bilayer membranes for permeant size and shape", Biophysical Journal, vol. 75, no. 6, pp. 2658-2671, 1998.
[21] T. X. Xiang & B. D. Anderson, "The barrier domain for solute permeation varies with lipid bilayer phase structure", The Journal of Membrane Biology, vol. 165, pp. 77-90, 1998.
[22] C. Mircioiu & et al, "Mathematical modeling of release kinetics from supramolecular drug delivery systems", Pharmaceutics, vol. 11, no. 3, p. 140, 2019.
[23] P. I. Lee, "Modeling of drug release from matrix systems involving moving boundaries: Approximate analytical solutions", International Journal of Pharmaceutics, vol. 418, no. 1, pp. 18-27, 2011.
[24] T. Higuchi, "Rate of release of medicaments from ointment bases containing drugs in suspension", Journal of Pharmaceutical Sciences, vol. 50, no. 10, pp. 874-875, 1961.
[25] H. S. Carlsaw & J. C. Jaeger, "Conduction of heat in solids", Clarendon, Oxford, 1959.
[26] T. Koizumi & et al, "Rate of release of medicaments from ointment bases containing drugs in suspension", Chemical and Pharmaceutical Bulletin, vol. 23, no.12, pp. 3288-3292, 1975.
[27] T. J. Roseman & W. I. Higuchi, "Release of medroxyprogesterone acetate from a silicone polymer", Journal of Pharmaceutical Sciences, vol. 59, no. 3, pp. 353-357, 1970.
[28] S. Koennings & et al, "Confocal microscopy for the elucidation of mass transport mechanisms involved in protein release from lipid-based matrices", Pharmaceutical Research, vol. 24, pp. 1325-1335, 2007.
[29] J. M. Rosca & I. W. Vergnaud, "Assessing Bioavailability of Drug Delivery Systems Mathematical", 2005.
[30] I. Mircioiu & et al, "Dissolution of tamoxifen in biorelevant media. A two phase release model", Farmacia, vol. 60, no. 3, 315-24, 2012.
[31] J. Siepmann, F. Siepmann & A. T. Florence, "Local controlled drug delivery to the brain: mathematical modeling of the underlying mass transport mechanism", International Journal of Pharmaceutics, vol. 314, no. 2, pp. 101-119. 2006.
[32] D. Caccavo, "An overview on the mathematical modeling of hydrogels’ behavior for drug delivery systems", International Journal of Pharmaceutics, vol. 560, no. 175-190, 2019.
[33] S. Koennings & et al, "Influence of wettability and surface activity on release behavior of hydrophilic substances from lipid matrices", Journal of Controlled Release, vol. 119, no. 2, pp. 173-181, 2007.
[34] A. D. Yohanes, L. Y. Lee & Ch. H. Wang, "Mathematical modeling and simulation of drug release from microspheres: Implications to drug delivery systems", Advanced Drug Delivery Reviews, vol. 58, no. 12-13, pp. 1274-1325, 2006.
[35] N. Sahai, G. Manashjit & A. Nabeel, "Mathematical modeling and simulations for developing nanoparticle-based cancer drug delivery systems: a review", Current Pathobiology Reports, vol. 9, pp. 1-8, 2021.
[36] R. Hernandez-Montelongo & et al, "Mathematical modeling of recursive drug delivery with diffusion, equilibrium, and convection coupling", Mathematics, vol. 10, no. 13, p. 2171, 2022.
[37] K. Chakravarty & D. C. Dalal. "Mathematical modelling of liposomal drug release to tumour", Mathematical Biosciences, vol. 306, pp. 82-96, 2018.
[38] F. Haghiralsadat & et al, "A comprehensive mathematical model of drug release kinetics from nano-liposomes, derived from optimization studies of cationic PEGylated liposomal doxorubicin formulations for drug-gene delivery", Artificial Cells, Nanomedicine, and Biotechnology, vol. 46, no. 1, pp. 169-177, 2018.
[39] C. B. Zhao & et al, "Clinical efficacy and immunological impact of tacrolimus in Chinese patients with generalized myasthenia gravis", International Immunopharmacology, vol. 11, no. 4, pp. 519-524, 2011.
[40] S. L. Schreiber & G. R. Crabtree, "The mechanism of action of cyclosporin A and FK506", Immunology Today, vol. 13, no. 4, pp. 136-142, 1992.
[41] P. Marquet & et al, "Comparative clinical trial of the variability factors of the exposure indices used for the drug monitoring of two tacrolimus formulations in kidney transplant recipients", Pharmacological Research, vol. 129, pp. 84-94, 2018.
[42] R. Kojima & et al, "Release mechanisms of tacrolimus-loaded PLGA and PLA microspheres and immunosuppressive effects of the microspheres in a rat heart transplantation model", International Journal of Pharmaceutics, vol. 492, no. 1-2, pp. 20-27, 2015.
[43] K. Park & et al, "Injectable, long-acting PLGA formulations: Analyzing PLGA and understanding microparticle formation", Journal of Controlled Release, vol. 304, pp. 125-134, 2019.
[44] A. N. Versypt, A. N. Ford, D. W. Pack & R. D. Braatz, "Mathematical modeling of drug delivery from autocatalytically degradable PLGA microspheres—A review", Journal of controlled release, vol. 165, no. 1, pp. 29-37, 2013.
[45] L. Nothnagel & M. G. Wacker, "How to measure release from nanosized carriers?", European Journal of Pharmaceutical Sciences, vol. 120, pp. 199-211, 2018.
[46] G. F. Gao & et al, "A sensitive in vitro performance assay reveals the in vivo drug release mechanisms of long-acting medroxyprogesterone acetate micro particles", International Journal of Pharmaceutics, vol. 586, p. 119540, 2020.
[47] J. V. Andhariya & et al, "In vitro-in vivo correlation of parenteral PLGA microspheres: Effect of variable burst release", Journal of Controlled Release, vol. 314, pp. 25-37. 2019.
[48] J. V. Andhariya & et al, "Development of Level a in vitro-in vivo correlations for peptide loaded PLGA microspheres", Journal of Controlled Release, vol. 308 pp. 1-13, 2019.
[49] L. Jablonka & et al, "Advanced in silico modeling explains pharmacokinetics and biodistribution of temoporfin nanocrystals in humans", Journal of Controlled Release, vol. 308, pp. 57-70. 2019.
[50] Sh. Jie & D. J. Burgess, "In vitro–in vivo correlation for complex non-oral drug products: where do we stand?", Journal of Controlled Release, vol. 219, pp. 644-651, 2015.
[51] Ch. Janas & et al, "The dispersion releaser technology is an effective method for testing drug release from nanosized drug carriers", European Journal of Pharmaceutics and Biopharmaceutics, vol. 115, pp. 73-83. 2017.
[52] L. Jablonka & et al, "Predicting human pharmacokinetics of liposomal temoporfin using a hybrid in silico model", European Journal of Pharmaceutics and Biopharmaceutics, vol. 149, pp. 121-134, 2020.
[53] F. Jung & et al, "A comparison of two biorelevant in vitro drug release methods for nanotherapeutics based on advanced physiologically-based pharmacokinetic modelling", European Journal of Pharmaceutics and Biopharmaceutics, vol. 127, pp. 462-470, 2018.
[54] Ch. M. Wallenwein & et al, "A dialysis-based in vitro drug release assay to study dynamics of the drug-protein transfer of temoporfin liposomes", European Journal of Pharmaceutics and Biopharmaceutics, vol. 1, no. 43, pp. 44-50. 2019.
[55] L. Xie & et al, "Assessing the drug release from nanoparticles: Overcoming the shortcomings of dialysis by using novel optical techniques and a mathematical model", International Journal of Pharmaceutics, vol. 488, no. 1-2, pp. 108-119, 2015.
[56] I. Salahshoori & et al, "Simulation-based approaches for drug delivery systems: Navigating advancements, opportunities, and challenges", Journal of Molecular Liquids, p. 123888, 2023.
[57] E. A. Chacin Ruiz & et al, "Mathematical Modeling of Drug Delivery from Bi-Layered Core-Shell Polymeric Microspheres", 2024.
[58] D. Caccavo & et al, "Mathematical modelling of the drug release from an ensemble of coated pellets", British Journal of Pharmacology, vol. 174, no. 12, pp. 1797-1809. 2017.
[59] S. Senarat & et al, "Numerical Mechanistic Modelling of Drug Release from Solvent-Removal Zein-Based In Situ Gel", Pharmaceutics, vol. 15, no. 10, p. 2401, 2023.
[60] Soundararajan, A., Bao, A., Phillips, W.T., Perez, R., Goins, B.A. (2009). 186[Re] Liposomal doxorubicin (Doxil): in vitro stability, pharmacokinetics, imaging and biodistribution in a head and neck squamous cell carcinoma xenograft model. Nucl. Med. Biol. 36, 515–524.
[61] J. R. Costa & et al, "Potential chitosan-coated alginate nanoparticles for ocular delivery of daptomycin", European Journal of Clinical Microbiology & Infectious Diseases, vol. 34, pp. 1255-1262, 2015.
[62] Y. S. Chhonker & et al, "Amphotericin-B entrapped lecithin/chitosan nanoparticles for prolonged ocular application", International Journal of Biological Macromolecules, vol. 72, pp. 1451-1458, 2015.
[63] P. Hasansheikhi, E. Amery & Z. Alimohammadi, Chitosan hydrogel containing tacrolimus-loaded nanoliposome for ocular drug delivery: physicochemical and stability evaluation", Nanomedicine Journal, vol. 12, no. 2, pp. 299-312, 2024.
[64] S. Kanokpanont, "Interaction between PEAA and DOPC liposomes: a possible model for pH-triggered drug delivery", Drexel University, 1996.
[65] Wilson, Barnabas, et al. "Chitosan nanoparticles as a new delivery system for the anti-Alzheimer drug tacrine." Nanomedicine: Nanotechnology, Biology and Medicine 6.1 (2010): 144-152.