Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses

作者：

Highlights：

• We analyze a nonsmooth model of a glucose-insulin kinetics test for healthy subjects.

• The model is extended to the diabetic case via an artificial pancreatic response.

• Parametric sensitivities are obtained using lexicographic differentiation.

• Sharp changes in sensitivities are observed when model thresholds are crossed.

摘要

•We analyze a nonsmooth model of a glucose-insulin kinetics test for healthy subjects.•The model is extended to the diabetic case via an artificial pancreatic response.•Parametric sensitivities are obtained using lexicographic differentiation.•Sharp changes in sensitivities are observed when model thresholds are crossed.

论文关键词：Glucose sensitivity,Insulin sensitivity,Generalized derivatives,Lexicographic derivatives,Nonsmooth ODEs

论文评审过程：Received 7 July 2020, Revised 25 November 2020, Accepted 6 December 2020, Available online 20 December 2020, Version of Record 20 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125876