A mathematical model for insulin kinetics III. Sensitivity analysis of the model
โ Scribed by C.P. Geevan; J. Subba Rao; Gita Subba Rao; J.S. Bajaj
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 367 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0022-5193
No coin nor oath required. For personal study only.
โฆ Synopsis
A non-linear mathematical model involving four variables and several constants incorporating beta-cell kinetics, a glucose-insulin feedback system and a gastrointestinal absorption term had been applied in earlier papers to various forms of diabetes mellitus. In this paper, we examine the response of the system to variations in the parameters and to initial conditions using sensitivity analysis. It is found that such a method leads to results that are consistent with clinical findings. Further, it is suggested that such an analysis could help in making some predictions regarding future directions in the therapy of diabetes mellitus.
๐ SIMILAR VOLUMES
## Abstract The differential equations governing the propagation in time of the sensitivity matrix for a mathematical model given by a system of ordinary differential equations are derived. These equations are used to perform a statistical sensitivity analysis of models for chemical reactors. The b
A mathematical model for the apparent constants k l and k z which presents a quantitative explanation of the observed kinetic behavior in both uncatalyzed and acid-catalyzed polyesterification between ethylene glycol and a dibasic acid in different initial molar ratios was developed. This model cons
A generalized nonlinear mathematical model which incorporates beta-cell kinetics, a glucose-insulin feedback system and a gastrointestinal absorption term for glucose, is presented. Numerical simulations using this model lead to time variations of plasma glucose and insulin levels that are consisten