Title

Controlled release drug delivery via polymeric microspheres: a neat application of the spherical diffusion equation

RIS ID

114727

Publication Details

Ormerod, C. S. & Nelson, M. (2017). Controlled release drug delivery via polymeric microspheres: a neat application of the spherical diffusion equation.International Journal of Mathematical Education in Science and Technology, 48 (8), 1268-1281.

Abstract

Various applied mathematics undergraduate skills are demonstrated via an adaptation of Crank's axisymmetric spherical diffusion model. By the introduction of a one-parameter Heaviside initial condition, the pharmaceutically problematic initial mass flux is attenuated. Quantities germane to the pharmaceutical industry are examined and the model is tested with data derived from industry journals. A binomial algorithm for the acceleration of alternating sequences is demonstrated. The model is accompanied by a MAPLE worksheet for further student exploration.

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Link to publisher version (DOI)

http://dx.doi.org/10.1080/0020739X.2017.1324116