Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10344584 | Computer Methods and Programs in Biomedicine | 2012 | 9 Pages |
Abstract
A monotonicity analysis of the model states and parameters is performed. An analysis of critical points, state transformations and application of differential inequalities are proposed to deal with non-monotone parameters. In contrast to current methods, the guaranteed simulations for the glucose-insulin model are carried out by considering uncertainty in all the parameters and initial conditions. Furthermore, no time-discretisation is required, which helps to reduce the computational time significantly. As a result, we are able to compute a tight glucose envelope that bounds all the possible patient's glycemic responses with low computational effort.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Diego de Pereda, Sergio Romero-Vivo, Beatriz Ricarte, Jorge Bondia,