In order to achieve prescribed drug release kinetics over long therapeutic periods, bi-phasic and possibly multi-phasic releases from blends of biodegradable polymers are currently envisioned. The modelling of drug release in the presence of degradation of the polymer matrix and surface erosion is quite complex. Yet, simple reliable mathematical models validated against experimental data are now available to help in classifying neat polymers and in predicting the release dynamics from polymer blends. In this paper, we survey a two-parameter quadratic ODE model that has been validated against experimental data for the release of paclitaxel from a broad range of biodegradable polymers and a quadratic semi-permeable membrane PDE model that mimics the ODE model and could readily be extended to drug eluding stents.
Blanchet, G., Delfour, M.C., Garon, A., Quadratic models to fit experimental data of Paclitaxel release kinetics from biodegradable polymers. SIAM J. on Applied Mathematics (Special Issue on Mathematical Modeling of Controlled Drug Delivery) 71(6), 2269–2286 (2011)
Delfour, M.C.,Drug release kinetics from biodegradable polymers via partial differential equations models. Acta Appl. Math. 118, 161–183 (2012)
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Lao, L.L., Venkatraman, S.S.,Paclitaxel release from single and double layered poly (DL-lactide-co-glycolide)/poly (L-lactide) film for biodegradable coronary stent application. J. Biomed. Mater. Res. A 87A(1), 1–7 (2008)
Lao, L.L., Venkatraman, S.S., Peppas, N.A., Modeling of drug release from biodegradable polymer blends. Eur. J. Pharm. Biopharm. 70, 796–803 (2008)
Lao, L.L., Venkatraman, S.S., Peppas, N.A.,A novel model and experimental analysis of hydrophilic and hydrophobic agent release from biodegradable polymers. J. Biomed. Mater. Res. A 90(4), 1054–1065 (2009)