Developing a mathematical model for Ibuprofen’scontrolled release accounting for solubility anddiffusion effects

摘要

In this research a mathematical model for controlled drug delivery of Ibuprofen hasbeen developed which accounts for physical kinetics based upon variations of the drugconcentration, size and release time for a spherical drug pill. Through this model, thedrug release for three sizes of the active ingredient including; 213nm (representingexistence of only diffusion limitations), 515nm (representing existence of onlysolubility limitations) and 367nm (representing both diffusion and solubility limitations)was calculated. Theoretical amounts of the drug after two hours of release arecalculated to be 95.3, 99.5 and 95.5 percent, respectively. Comparison of theoreticaland experimental data enables one to conclude that when considering nano scale particlesizes for the active ingredient both solubility and diffusion mechanisms control the rateof the drug delivery. In other words, for small active ingredient particles correspondingto small drug pill diameters, the diffusion mechanism and for the drugs with biggerdiameters the solubility mechanism is the rate controlling for the release of theIbuprofen drug. On the other hand, for drugs with middle size diameters (I.e.; thosebetween these two limits) both these are drug release rate controlling steps.