Share Email Print
cover

Proceedings Paper

Analytical solution of a model for shrinking drug-loaded microspheres
Author(s): Daniela Bolaños
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The dynamics of shrinking drug-loaded microspheres were studied using a diffusion equation in spherical coordinates and with a radially modulated diffusivity. A movable boundary condition that represents the shrinking was incorporated using an approximation based on the Laplace transform. The resulting diffusive problem with radially modulated diffusivity was solved using Laplace transform techniques with the Bromwich integral, the residue theorem and special functions. Analytical solutions in the form of infinity series of special functions were derived for the general case of shrinking microspheres and for the particular case with exponential shrinking. All computations were made using computer algebra, specifically Maple. Some numerical simulations were made in the case of microspheres with exponential shrinking. The analytical results were used to derive the effective constant time for the shrinking microsphere. As future line of investigation, it is proposed the analysis of models with boundary condition that shows the memory effect. It is expected that the obtained analytical results could be very important in pharmaceutical engineering.

Paper Details

Date Published: 22 May 2014
PDF: 10 pages
Proc. SPIE 9107, Smart Biomedical and Physiological Sensor Technology XI, 91071E (22 May 2014); doi: 10.1117/12.2049253
Show Author Affiliations
Daniela Bolaños, Univ. EAFIT (Colombia)


Published in SPIE Proceedings Vol. 9107:
Smart Biomedical and Physiological Sensor Technology XI
Brian M. Cullum; Eric S. McLamore, Editor(s)

© SPIE. Terms of Use
Back to Top