Comparison of Identification Methods of a Time-Varying Insulin Sensitivity Parameter in a Simulation Model of Glucose Metabolism in the Critically Ill
Modeling and Control in Biomedical Systems, Volume # 7 | Part# 1
Authors
Pielmeier, Ulrike; Andreassen, Steen; Steenfeldt Nielsen, Birgitte; Hann, Christopher E; Chase, J. Geoffrey; Haure, Pernille
Identifier
10.3182/20090812-3-DK-2006.00012
Index Terms
Endocrine and metabolic systems; Control of physiological and clinical variables,; Critical care and decision support systems
Abstract
Models of glucose metabolism can help to simulate and predict the blood glucose response in hyperglycaemic, critically ill patients. Model prediction performance depends on a sufficiently accurate estimation of the patient's time-varying insulin sensitivity. The work presents three least squares approaches, the integral method and a Bayesian method that have been compared by prediction accuracy on an absolute and on a relative scale. Clinical data yields 1491 blood glucose predictions based on 10 critically ill patients. The Bayesian approach proved to be best with small errors (9.7% absolute percent error, 14.7 root mean square of logarithmic error for prediction times <= 2h), and fewer and smaller outliers compared to the other methods. Computationally, the Bayesian method took 1.5 times longer per prediction compared to the fastest method. It can be concluded that a Bayesian parameter estimation gives safe and effective results for the insulin sensitivity estimation for this model.
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