Passive insulin infusion using AVK method

[1]  Ruiqiang Hu,et al.  Simulation Study on Blood Glucose Control in Diabetics , 2007, 2007 1st International Conference on Bioinformatics and Biomedical Engineering.

[2]  R. Bergman,et al.  Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. , 1981, The Journal of clinical investigation.

[3]  R. Miura,et al.  A Model of β -Cell Mass, Insulin, and Glucose Kinetics: Pathways to Diabetes , 2000 .

[4]  Ali Vahidian Kamyad,et al.  Solving of second order nonlinear PDE problems by using artificial controls with controlled error , 2004 .

[5]  S. Genuth,et al.  The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin-dependent diabetes mellitus. , 1993, The New England journal of medicine.

[6]  John Thomas Sorensen,et al.  A physiologic model of glucose metabolism in man and its use to design and assess improved insulin therapies for diabetes , 1985 .

[7]  Ovide Arino,et al.  Mathematical modelling of the intravenous glucose tolerance test , 2000, Journal of mathematical biology.

[8]  Ali Vahidian Kamyad,et al.  A LINEAR PROGRAMMING APPROACH TO THE CONTROLLABILITY OF TIME-VARYING SYSTEMS , 2003 .

[9]  U. Fischer,et al.  Kinetic Modeling of the Glucoregulatory System to Improve Insulin Therapy , 1985, IEEE Transactions on Biomedical Engineering.

[10]  J. Rubio,et al.  An optimal control problem for the multidimensional diffusion equation with a generalized control variable , 1992 .

[11]  Y. Kuang,et al.  Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays. , 2006, Journal of theoretical biology.

[12]  M. Fisher,et al.  A semiclosed-loop algorithm for the control of blood glucose levels in diabetics , 1991, IEEE Transactions on Biomedical Engineering.

[13]  Z-H Lam,et al.  Active insulin infusion using optimal and derivative-weighted control. , 2002, Medical engineering & physics.

[14]  Ali Vahidian Kamyad,et al.  Using AVK method to solve nonlinear problems with uncertain parameters , 2007, Appl. Math. Comput..

[15]  Ali Vahidian Kamyad,et al.  Optimal control of the multidimensional diffusion equation , 1991 .

[16]  Ali Vahidian Kamyad,et al.  Strong controllability and optimal control of the heat equation with a thermal source , 2000 .

[17]  MS Ibbini,et al.  A semiclosed-loop optimal control system for blood glucose level in diabetics , 2004, Journal of medical engineering & technology.