Asymptotic tracking and disturbance rejection of the blood glucose regulation system.

[1]  Weijiu Liu,et al.  Introduction to Modeling Biological Cellular Control Systems , 2012 .

[2]  Weijiu Liu,et al.  Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation , 2009 .

[3]  Fusheng Tang,et al.  A molecular mathematical model of glucose mobilization and uptake. , 2009, Mathematical biosciences.

[4]  Weijiu Liu,et al.  Modeling a simplified regulatory system of blood glucose at molecular levels. , 2008, Journal of theoretical biology.

[5]  Claudio Cobelli,et al.  Meal Simulation Model of the Glucose-Insulin System , 2007, IEEE Transactions on Biomedical Engineering.

[6]  G. Steil,et al.  Feasibility of Automating Insulin Delivery for the Treatment of Type 1 Diabetes , 2006, Diabetes.

[7]  Alessandra Bertoldo,et al.  Interactions Between Delivery, Transport, and Phosphorylation of Glucose in Governing Uptake Into Human Skeletal Muscle , 2006, Diabetes.

[8]  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.

[9]  G. Steil,et al.  Evaluation of the Effect of Gain on the Meal Response of an Automated Closed-Loop Insulin Delivery System , 2006, Diabetes.

[10]  R. Hovorka.  Continuous glucose monitoring and closed‐loop systems , 2006, Diabetic medicine : a journal of the British Diabetic Association.

[11]  Claudio Cobelli,et al.  Two-hour seven-sample oral glucose tolerance test and meal protocol: minimal model assessment of beta-cell responsivity and insulin sensitivity in nondiabetic individuals. , 2005, Diabetes.

[12]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[13]  Hubert Roth,et al.  Glucose appearance in the peripheral circulation and liver glucose output in men after a large 13C starch meal. , 2004, The American journal of clinical nutrition.

[14]  Claudio Cobelli,et al.  Minimal model estimation of glucose absorption and insulin sensitivity from oral test: validation with a tracer method. , 2004, American journal of physiology. Endocrinology and metabolism.

[15]  Claudio Cobelli,et al.  The hot IVGTT two-compartment minimal model: an improved version. , 2003, American journal of physiology. Endocrinology and metabolism.

[16]  A. Sherman,et al.  A mathematical model of metabolic insulin signaling pathways. , 2002, American journal of physiology. Endocrinology and metabolism.

[17]  E. Mosekilde,et al.  Modeling the insulin-glucose feedback system: the significance of pulsatile insulin secretion. , 2000, Journal of theoretical biology.

[18]  E. Mosekilde,et al.  Computer model for mechanisms underlying ultradian oscillations of insulin and glucose. , 1991, The American journal of physiology.

[19]  J. Sturis,et al.  Entrainment of pulsatile insulin secretion by oscillatory glucose infusion. , 1991, The Journal of clinical investigation.

[20]  R. Bergman.  Toward Physiological Understanding of Glucose Tolerance: Minimal-Model Approach , 1989, Diabetes.

[21]  R. Bergman,et al.  Insulin transport across capillaries is rate limiting for insulin action in dogs. , 1989, The Journal of clinical investigation.

[22]  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.

[23]  G. Winston,et al.  Effects of chronic ethanol ingestion on liver glycogen phosphorylase in male and female rats. , 1981, The American journal of clinical nutrition.

[24]  L. Mandarino,et al.  Dose-response characteristics for effects of insulin on production and utilization of glucose in man. , 1981, The American journal of physiology.

[25]  T D Hockaday,et al.  Insulin deficiency and insulin resistance interaction in diabetes: estimation of their relative contribution by feedback analysis from basal plasma insulin and glucose concentrations. , 1979, Metabolism: clinical and experimental.

[26]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[27]  R. Wolfe,et al.  Glucose metabolism in man: responses to intravenous glucose infusion. , 1979, Metabolism: clinical and experimental.

[28]  A. Katz,et al.  Glucagon metabolism in the rat. , 1978, The Journal of clinical investigation.

[29]  R. Sherwin,et al.  Renal extraction of glucagon in rats with normal and reduced renal function. , 1977, The American journal of physiology.

[30]  C. Kahn.  Membrane receptors for hormones and neurotransmitters , 1976, The Journal of cell biology.

[31]  J. A. Thomas,et al.  Effects of magnesium on the kinetic properties of bovine heart glycogen synthase D. , 1975, The Journal of biological chemistry.

[32]  P. Lefèbvre,et al.  Renal handling of endogenous glucagon in the dog: comparison with insulin. , 1974, Metabolism: clinical and experimental.

[33]  W. Zingg,et al.  An Artificial Endocrine Pancreas , 1974, Diabetes.

[34]  W Zingg,et al.  Clinical Control of Diabetes by the Artificial Pancreas , 1974, Diabetes.

[35]  Weijiu Liu.  Linear Reaction-Convection-Diffusion Equation , 2010 .

[36]  Claudio Cobelli,et al.  A minimal model of insulin secretion and kinetics to assess hepatic insulin extraction. , 2006, American journal of physiology. Endocrinology and metabolism.

[37]  Kirsten Morris,et al.  Introduction to Feedback Control , 2001 .

[38]  R N Bergman,et al.  Assessment of insulin sensitivity in vivo. , 1985, Endocrine reviews.

[39]  A H Clemens,et al.  The development of Biostator, a Glucose Controlled Insulin Infusion System (GCIIS). , 1977, Hormone and metabolic research = Hormon- und Stoffwechselforschung = Hormones et metabolisme.

[40]  L C Gatewood,et al.  Model studies of blood-glucose regulation. , 1965, The Bulletin of mathematical biophysics.