LAUSR

Local drug delivery system is a thrust area of current research and it possesses clinical implications so long as therapy is concerned. The purpose of the present study is to frame primarily an appropriate mathematical model for drug release from a porous polymeric matrix to biological tissues through endocytosis. Drug release phenomenon is described by taking into account both solubilisation dynamics of solid drug and diffusion of solubilised drug through porous polymeric matrix. In the tissue medium, reversible dissociation/association together with internalization processes of drug are involved. The model under consideration is duly formulated by a system of partial differential equations. These equations are solved analytically with the appropriate choice of initial, boundary and interface conditions as well. In order to establish the potency of the proposed model, the simulated results are compared with corresponding experimental data and found remarkable agreement so as to validate the applicability of the model considered. A quantitative analysis is carried out at the end through numerical simulation based on the values of all the model parameters in order to illustrate the behaviour of drug concentrations with time under various situations. The sensitivity of most of the model parameters on drug concentrations and drug masses is also put on record for the purpose of applicability of the drug release model under consideration.