Optimal control of glucose balance in ICU patients based on GlucoSafe model
Marheineke N, Cibis T, Schiessl S, Pielmeier U (2014)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2014
Journal
Publisher: SpringerOpen
Book Volume: 4
Journal Issue: 3
Abstract
Model-based medical decision support in terms of computer simulations, predictions and optimization gains increasing importance in health care systems worldwide. This work deals with the control of the glucose balance in intensive care unit (ICU) patients providing nutrition and insulin. The basis of the investigations is the bio-medical model GlucoSafe by Pielmeier et al. (Comput. Methods Programs Biomed. 97(3):211-222, 2010) that describes the temporal evolution of the blood glucose and insulin concentrations in the human body by help of a nonlinear dynamic system of first-order ordinary differential equations. This paper aims at the theoretical analysis and numerical treatment of the arising optimal control problem. Numerical results demonstrate the controllability and applicability of the model, in particular critical hyper- and hypoglycemic initial states are considered.
Authors with CRIS profile
Nicole Marheineke
Professur für Wissenschaftliches Rechnen
Thomas Cibis
Professur für Wissenschaftliches Rechnen
Involved external institutions
Denmark (DK)How to cite
APA:
Marheineke, N., Cibis, T., Schiessl, S., & Pielmeier, U. (2014). Optimal control of glucose balance in ICU patients based on GlucoSafe model. Journal of Mathematics in Industry, 4(3). https://dx.doi.org/10.1186/2190-5983-4-3
MLA:
Marheineke, Nicole, et al. "Optimal control of glucose balance in ICU patients based on GlucoSafe model." Journal of Mathematics in Industry 4.3 (2014).
BibTeX: Download