Title :
Modelling glycaemia of diabetics : An application
Author :
Benmakrouha, F. ; Hespel, C. ; Foursov, M.V.
Author_Institution :
Math. & Comput. Sci., INSA, Rennes
Abstract :
We present and study, in this paper, a Tagaki-Sugeno(TS) fuzzy model that consists in a family of linear models mixed together with nonlinear membership functions. We apply this method to the problem of treatment of diabetics. Taking the insulin infusion rate as the input and the blood glucose rate as the output, we consider the patient as a black box [12], [11], whose model has to be obtained from the available measures of inputs-outputs. We dispose of a glycaemia file automatically produced for every person, and an insulin file shared by several persons. We investigate the model´s quality on two criteria: a convergence measure and the impact of datum plane covering on the outcome of a fuzzy inference system. We emphasize on the importance of datum plane covering. Many papers propose fuzzy algorithms for extraction of knowledge from numerical data [7], [8], [9]. But few works have been developed for design of experiments and datum plane covering. We propose a measure used to pre-validate a fuzzy model. This pre-validation takes place after design of the inference system. So, when the model is not pre-validated, we do not have to carry out the next steps, optimisation and validation.
Keywords :
biochemistry; blood; convergence of numerical methods; diseases; expert systems; fuzzy systems; knowledge acquisition; medical computing; organic compounds; patient treatment; Tagaki-Sugeno fuzzy model; black box model; blood glucose rate; convergence measure; datum plane covering; diabetics treatment; fuzzy inference system; glycaemia; insulin infusion rate; knowledge extraction; linear models; nonlinear membership function; Blood; Computer science; Convergence; Diabetes; Fuzzy systems; Insulin; Mathematical model; Mathematics; Optimization methods; Sugar;
Conference_Titel :
BioInformatics and BioEngineering, 2008. BIBE 2008. 8th IEEE International Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-2844-1
Electronic_ISBN :
978-1-4244-2845-8
DOI :
10.1109/BIBE.2008.4696819