Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4500621 | Mathematical Biosciences | 2010 | 12 Pages |
Abstract
This paper develops fast analytical-based methods for insulin-glucose system model that are generalizable to other similar systems. Exploiting the structure and partial solutions in a subset of the model is the key in finding accurate fast solutions to the full model. This approach successfully reduced computing time by factors of 5600-144Â 000 depending on the numerical error management method, for large (50-164 patients) virtual trials and Monte Carlo analysis. It thus allows new model-based or model-derived protocols to be rapidly developed via extensive simulation. The new method is rigorously compared to existing standard numerical solutions and is found to be highly accurate to within 0.2%.
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Authors
C.E. Hann, P. Docherty, J.G. Chase, G.M. Shaw,