Abstract
Model-based medical decision support in terms of computer simulations and predictions gains increasing importance in health care systems worldwide. This work deals with the control of the glucose balance in ICU patients using an insulin therapy. The basis of our investigations is the simulation model GlucoSafe by Pielmeier et al. 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. We aim at the theoretical analysis and numerical treatment of the arising optimal control problem.
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References
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Acknowledgements
The authors thank Ulrike Pielmeier for her explanations of the bio-medical process and GlucoSafe. Moreover, the research team by Steen Andreassen, Center for Model-based Medical Decision Support, Aalborg University, is acknowledged for providing a sample of patient and treatment data.
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Cibis, T.M., Marheineke, N. (2014). Model-Based Medical Decision Support for Glucose Balance in ICU Patients: Optimization and Analysis. In: Fontes, M., Günther, M., Marheineke, N. (eds) Progress in Industrial Mathematics at ECMI 2012. Mathematics in Industry(), vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-05365-3_32
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DOI: https://doi.org/10.1007/978-3-319-05365-3_32
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