Mathematical modeling of drug delivery.

By J. Siepmann, F. Siepmann. International journal of pharmaceutics, 2008

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Microencapsulation of essential oils with biodegradable polymeric carriers for cosmetic applications (2014, background): “In that case, for each system is necessary to develop a specific mathematical equation [126].”
DDSolver: An Add-In Program for Modeling and Comparison of Drug Dissolution Profiles (2010, background): “This work was not performed to assess any particular model or to discuss the statistical or mechanical meaning of each model parameter, because these topics have been well reviewed previously (13,14).”
Higuchi equation: derivation, applications, use and misuse. (2011, background): “…pharmaceutical formulation and the experimental verification of a release mechanism (Peppas, 1984a,b; Harland et al., 1988a; Siepmann et al., 2006; Siepmann and Siepmann, 2008). elivery field is to predict the release of the active agent as a unction of time using both simple and sophisticated…”
Potassium sorbate release from poly(vinyl alcohol)-bacterial cellulose films (2012, methodology): “In this case, the solute molecules are individualised/dissolved within the carrier material (Siepmann & Siepmann, 2008).”
Drug Release Kinetics and Transport Mechanisms of Non-degradable and Degradable Polymeric Delivery Systems (2010, background): “By contrast, for matrix-type devices, drug release is more likely to be Fickian diffusion driven, which is associated with concentration gradient, diffusion distance and the degree of swelling [7,8].”