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Lorenz Curves and Dissolution from Multi-Layer Drug Compacts

N.M. McMahon*, M. Crane1, H. Ruskin1, L. Crane2.

2012 - 2014.

Preprint

Recent papers outline a useful semi-analytical technique for approximating the drug dissolution from a simple horizontally layered medicinal tablet (a compact). Their solution is calculated for the specific cases of three- and five-layer compacts. This technical note generalises their result for any number of layers and considers the behaviour of the solution as the number of layers becomes very large. Additionally, we consider the behaviour of the solution as the number of layers becomes very large. We observe that the underlying mathematics is essentially the same used to describe the distribution of wealth in a society, visualised as Lorenz Curves.

* Corresponding author.

1. School of Computing, Dublin City University.

2. Institute for Numerical Computation and Analysis.

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