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Mathematical models for dermal drug absorption

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Pratibha G. Kakadia & Barbara R. Conway. (2022) Design and development of essential oil based nanoemulsion for topical application of triclosan for effective skin antisepsis. Pharmaceutical Development and Technology 27:5, pages 554-564.
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Milena Čukić & Slobodanka Galovic. (2023) Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept. Chaos, Solitons & Fractals 172, pages 113584.
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Chamila S. Bandara, Navin Gamage, Jayamini C. Gunaratne, Keshiya Waruni, Rumesh M. Nelumdeniya & Ranatunga Udayana. 2023. Novel Platforms for Drug Delivery Applications. Novel Platforms for Drug Delivery Applications 491 536 .
Magnus Lundborg, Christian Wennberg, Jack Lidmar, Berk Hess, Erik Lindahl & Lars Norlén. (2022) Skin permeability prediction with MD simulation sampling spatial and alchemical reaction coordinates. Biophysical Journal 121:20, pages 3837-3849.
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Iris Usach, Sara Di Marco, Octavio Díez, Manuel Alós & José-Esteban Peris. (2022) The Usefulness of In Vitro Percutaneous Absorption Experiments Applying the Infinite Dose Technique to Predict In Vivo Plasma Levels: Comparison of Model-Predicted and Observed Plasma Concentrations of Nortriptyline in Rats. Pharmaceutics 14:7, pages 1457.
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A.A. Amarah, J. Hadgraft, M.S. Roberts & Y.G. Anissimov. (2022) Compartmental modeling of skin absorption and desorption kinetics: Donor solvent evaporation, variable diffusion/partition coefficients, and slow equilibration process within stratum corneum. International Journal of Pharmaceutics 623, pages 121902.
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Xue Han, Jingchuan Liu, Xiaoyue Hu, Wei Wang & Qing Wang. (2022) Design of a Long-Acting Rivastigmine Transdermal Delivery System: Based on Computational Simulation. AAPS PharmSciTech 23:1.
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Mahadevabharath R. Somayaji, Debarun Das, Harsha Teja Garimella, Carrie L. German, Andrzej J. Przekwas & Laurent Simon. (2021) An integrated biophysical model for predicting the clinical pharmacokinetics of transdermally delivered compounds. European Journal of Pharmaceutical Sciences 167, pages 105924.
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Danping Zhang, Qiong Bian, Yi Zhou, Qiaoling Huang & Jianqing Gao. (2021) The application of label-free imaging technologies in transdermal research for deeper mechanism revealing. Asian Journal of Pharmaceutical Sciences 16:3, pages 265-279.
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Michele Caputo & Cesare Cametti. (2020) Diffusion through skin in the light of a fractional derivative approach: progress and challenges. Journal of Pharmacokinetics and Pharmacodynamics 48:1, pages 3-19.
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Beatrice Pecoraro, Marco Tutone, Ewelina Hoffman, Victoria Hutter, Anna Maria Almerico & Matthew Traynor. (2019) Predicting Skin Permeability by Means of Computational Approaches: Reliability and Caveats in Pharmaceutical Studies. Journal of Chemical Information and Modeling 59:5, pages 1759-1771.
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A.A. Amarah, D.G. Petlin, J.E. Grice, J. Hadgraft, M.S. Roberts & Y.G. Anissimov. (2018) Compartmental modeling of skin transport. European Journal of Pharmaceutics and Biopharmaceutics 130, pages 336-344.
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Mengshan Li, Huaijin Zhang, Liang Liu, Bingsheng Chen, Lixin Guan & Yan Wu. (2018) A Quantitative Structure-Property Relationship Model Based on Chaos-Enhanced Accelerated Particle Swarm Optimization Algorithm and Back Propagation Artificial Neural Network. Applied Sciences 8:7, pages 1121.
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