Model Based Simulation for Type I Diabetic Patients

American Diabetes Association, 2001, www.diabetes.org/ada/facts.asp, ADA Website. Rubin R.J., Altman WM, Mendelson DN, 1992 ,Health Care Expenditures for People with diabetesMellitus, Journal of Clinical Endocrinology and Metabolism. 78: 809A-809F. Ganong WF, 1997, Review of Medical Physiology (18th Edition) pg. 332 Appelton and Lange. DC. Klonoff. “Continuous glucose monitoring: roadmap for 21st.century diabetes therapy,” Diabetes care Vol. 28, 2005, pp. 1231-1239.
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C. Amaral, B. Wolf, “Current development in non-invasive glucosemonitoring,” Journal of Medical Engineering and Physics, 2007,Elsevier. TM. Gross, BW bode, D. Einhorn, “Performance evaluation of theminimed continuous glucose monitoring system during patient homeuse,” Diabetes Technology Theoretical. vol. 2, 2000, pp. 49-56. J. Li, Y. Kuang, C. C. Mason, “Modeling the glucose-insulin regulatorysystem and ultradian insulin secretory oscillations with two explicit timedelays,” J. of Theoretical Biology, vol. 242, 2006, pp. 722-735. A. De Gaetano and O. Arino, “Mathematical modeling of theintravenous glucose tolerance test”, J. Math. Biol. Vol. 40, 2000, pp.136-168. R. N. Bergman, L. Philips, and C. Cobelli, “Physiological evaluation ofthe factors controlling glucose tolerance in man,” Journal of ClinicalInvestigation, vol. 68, 1981, pp. 1456-1467. J. T. Sorenson, “A physiological model of glucose metabolism in mansits use to design and assess improved insulin therapies for diabetes,” ”,Ph.D. Dissertation, Chem Eng. Dep., Massachusets Inst. Technol,Cambridge, 1985 Ackerman,E., L.C.Gatewood, J.W.Rosevear, and G.D.Molnar,”Model studies of Blood -Glucose Regulation,”Bull.Mathem.Bio-physics.,27(suppl.),21,1965. Balas, G. J., J. Doyle, K. Glover, A Packard, and R. Smith, _-Analysis and Synthesis Toolbox User’s Guide, The Math works, Natick, MA,1995. Bellazzi,R., Nucci,G, and Cobelli,C,”The subcutaneous route to insulin dependent diabetes therapy.” IEEE Engineering in Medicine and Biology Magazine, vol. 20(1),54-64,2001. Bergman,R.N., L.S.Phillips, and C.Cobelli,” Physiologic Evaluation of factors Controlling Glucose Tolerance in Man,” J.Clin.Invest., 68, 1456,1981 Bolie,V.W.,”Coefficients of normal Blood Glucose Regulation,” J.Appl.Physiol.,16, 1961. Cobelli,C., and A.Mari,”Valodation of Mathematical Models of Complex Endocrine- Metabolic Systems, A case study on a Model of Glucose Regulation,”Med.Biol.Eng.Comput.,21, 390,1983. Doyle,J.C., Glover,K., Khargonekar, P.P.,andFrancis,B.A.”State –space solutions to standard H2 and H∞ control problems.” IEEE Transactions on Automatic Control, 34,831-847.1989.
Frederick Chee, Andrey V Savkin, Tyrone L.Fernando, and Saeid Nahavandi “Optimal H∞ Insulin Injection Control for Blood Glucose Regulation in Diabetic Patients”. IEEE transactions on Biomedical Engineering ,VOL ,52,No 10,October 2005. GuytonJ.R.;Foster,R.O.;Soeldner,J.S.;Tan,M.H.;Kahn,C.B.;Konez,L.;Gleason,R.E, “A Model of Glucose-Insulin Homeostasis in man that incorporates the heterogenous Fast Pool Theory of Pancreatic Insulin Release”, Diabetes ,27,1027,1978. Hector Miguel Trujillo-Arriaga,uben Ruben Roman-Ramos,” Fitting and evaluating the glucose curve during a quasi continuous sampled oral glucose tolerance test”, computers in Biology and medicine 38, 185-195,2008.
Lehmann,E.D., and Deutsch,T .”Compartmental models for glycaemic pridiction and dicision support in clinical diabetes care: Promise and reality. ”Computer methods and programs in Biomedicine,56,193-204.1998. Lehmann,E.D., and Deutsch,T “ A physiological model of glucose insulin interaction in type I diabetes mellitus.” Journal of Biomedical Engineering , 14,235-242.1992. Minimed Corp, The Minimed 507C, Products and Specifications,http://www.minimed.com/files/mm_098.htm 1999. Owens, C.L.; Doyle,F.J.,III “Performance Monitoring of Diabetic Patient Systems”,Presented at the 23rd Annual EMBS International Conference, Istanbul,Turkey,oct 25-28,2001. Pacini,G., and Cobelli,C. “Estimation of beta-cell secretion and insulin hepatic extraction by the minimal modeling technique”. Computational Methods Programs in Biomedicine,32, 241- 248,1990. Parker ,R.S., Doyle III,F.J., and Peppas,N.A .”Robust H∞ glucose control in diabetes using a physiological model.” A.I.Ch.E.Journal, 46(12),2537-2549. .2000. Parker, R.S., Doyle III,F.J., and Peppas ,N.A.”A model based algorithm for blood glucose control in type I diabetes patients.” IEEE Transactions on Biomedical Engineering, 46(2), 148-157,1999. Parker,R.S. “Model–Based Analysis and control for bio-systems”, Ph.D.Thesis, Department of Chemical engineering, University of Delaware,NewYork,DE,1999. Y.Ramprasad, G.P.Rangaiah, and S.Laxminarayanan, Robust PID controller for Blood Glucose Regulation in Type I Diabetes, Ind. Chem.Res.Vol 43, 8257-8268.,2004.
G. Quiroz1, R. Femat”Theoretical blood glucose control in hyper- and hypoglycemic and exercise scenarios by means of an H∞algorithm” L. Kovács, B. Kulcsár, A. György, Z. Benyó,”Robust servo control of a novel type 1 diabetic model” Article first published online: 17 SEP 2010
Meriyan Eren-Oruklua, Ali Cinara,”Adaptive control strategy for regulation of blood glucose levels in patients with type 1 diabetes”, Journal of Process Control, Volume 19, Issue 8,Sep 2009, Pages 1333-1346.
S. Ghosh, S. Maka,”A NARX modeling-based approach for evaluation of insulin sensitivity”,Journal of Biomedical Signal Processing and Comtrol Volume 4, Issue 1, January 2009, Pages 49-56.
Saadet Ulas Acikgoz, Urmila M. Diwekar,”Blood glucose regulation with stochastic optimal control for insulin-dependent diabetic patients”, Chemical Engineering Science, Volume 65, Issue 3, Feb 2010, Pages 1227-1236.