Optimal control of glucose balance in ICU patients based on GlucoSafe model

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 o...

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Bibliographic Details
Published in:Journal of mathematics in industry 2014-01, Vol.4 (1), p.3
Main Authors: Marheineke, Nicole, Cibis, Thomas Martin, Schiessl, Stefan, Pielmeier, Ulrike
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
ECMI2012-Selected papers on Mathematics in Industry
Glucose
Hyperglycemia
Hypoglycemia
Insulin resistance
Intensive care
Math. Appl. in Environmental Science
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical Methods in Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Medical prognosis
Metabolism
Nutrition
Optimization
Parenteral nutrition
Patients
Simulation
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Summary: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.
ISSN:2190-5983
2190-5983
DOI:10.1186/2190-5983-4-3