Abstract
Some molecular control mechanisms of blood glucose are described schematically in Fig. 4.1. Glucose comes from food and liver, and is utilized by brain and nerve cells (insulin-independent) via the glucose transporter 3 (GLUT3) or by tissue cells such as muscle, kidney, and fat cells (insulin-dependent) via the glucose transporter 4 (GLUT4). Glucose is transported into and out of liver cells by the concentrationdriven glucose transporter 2 (GLUT2), which is insulin-independent. In response to a low blood glucose level (<80 mg/dl or 4.4 mmol/L), α cells of the pancreas produce the hormone glucagon. The glucagon initiates a series of activations of kinases, and finally leads to the activation of the glycogen phosphorylase, which catalyzes the breakdown of glycogen into glucose. In addition, the series of activations of kinases also result in the inhibition of glycogen synthase and then stop the conversion of glucose to glycogen. In response to a high blood glucose level (> 120 mg/dl or 6.7 mmol/L), β cells of the pancreas secrete insulin. Insulin triggers a series of reactions to activate the glycogen synthase, which catalyzes the conversion of glucose into glycogen. Insulin also initiates a series of activations of kinases in tissue cells to lead to the redistribution of GLUT4 from intracellular storage sites to the plasma membrane. Once at the cell surface, GLUT4 transports glucose into the muscle or fat cells.
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References
Ablooglu A.J., Kohanski R.A.: Activation of the insulin receptor’s kinase domain changes the rate-determining step of substrate phosphorylation. Biochemistry 40, 504–513 (2001).
Ackerman E., Gatewood L.C., Rosevear J.W., Molnar G.D.: Model studies of blood glucose regulation. Bull. Math. Biophys. 27, 21–27 (1965).
Albisser A.M., Leibel B.S., Ewart T.G., Davidovac Z., Botz C.K., Zingg W.: An artificial endocrine pancreas. Diabetes 23, 389–396 (1974).
Albisser A.M., Leibel B.S., Ewart T.G., Davidovac Z., Botz C.K., Zingg W., Schipper H., Gander R.: Clinical control of diabetes by the artificial pancreas. Diabetes 23, 397–404 (1974).
Bastl C., Finkelstein F., Sherwin R., Hendler R., Felig P., Hayslett J.: Renal extraction of glucagon in rats with normal and reduced renal function. Am. J. Physiol. 233, 67–71 (1977).
Bergman R.N., Ider Y.Z., Bowden C.R., Cobelli C.: Quantitative estimation of insulin sensitivity. Am. J. Physiol. Endocrinol. Metab. 236, E667–E677 (1979).
Bergman R.N., Phillips L.S., Cobelli C.: Measurement of insulin sensitivity and β-cell glucose sensitivity from the response to intraveous glucose. J. Clinical Investigation. 68, 1456–1467 (1981).
Bergman R.N., Finegood D.T., Ader M.: Assessment of insulin sensitivity in vivo. Endocrine Reviews. 6, 45–86 (1985).
Bertoldo A., Pencek R.R., Azuma K., Price J.C., Kelley C., Cobelli C., Kelley D.E.: Interactions between delivery, transport, and phosphorylation of glucose in governing uptake into human skeletal muscle. Diabetes. 55, 3028–3037 (2006).
Cerny V.: A thermodynamical approach to the travelling salesman problem: an efficient simulation algorithm. J. Optim. Theory and Appl. 45, 41–51 (1985).
Clemens A.H., Chang P.H., Myers R.W.: The development of biostator, a glucose controlled insulin infusion system (GCIIS). Horm Metab Res. Suppl 7, 23–33 (1977).
Colville C.A., Seatter M.J., Jess T.J., Gould G.W., Thomas H.M.: Kinetic analysis of the liver-type (GLUT2) and brain-type (GLUT3) glucose transporters in Xenopus oocytes: substrate specificities and effects of transport inhibitors. Biochem. J. 290, 701–706 (1993).
Emmanouel, D., Jaspan J., Rubenstein A., Huen A., Fink E., Katz A.: Glucagon metabolism in the rat: contribution of the kidney to the metabolic clearance rate of the hormone. J. Clin. Invest. 62, 6–13 (1978).
Goodner C.J., Walike B.C., Koerker D.J., Ensinck J.W., Brown A.C., Chideckel E.W., Palmer J., Kalnasy L.: Insulin, glucagon, and glucose exhibit synchronous, sustained oscillations in fasting monkeys. Science 195, 177–179 (1977).
Hansen B.C., Jen K.C., Pek S.B., Wolfe R.A.: Rapid oscillations in plasma insulin, glucagon, and glucose in obese and normal weight humans. Journal of Clinical Endocrinology & Metabolism. 54, 785–792 (1982).
Hovorka R.: Continuous glucose monitoring and closed-loop systems. Diabetic Medicine 23, 1–12 (2006).
Jaspan J.B., Lever E., Polonsky K.S., Cauter E.V.: In vivo pulsatility of pancreatic islet peptides. Am. J. Physiol. Endocrinol. Metab. 251, E215–E226 (1986).
Kahn C.R.: Membrane receptors for hormones and neurotransmitters. J. Cell Biology. 70, 261–286 (1976).
Khalil H.K.: Nonlinear Systems. Prentice Hall, New Jersey (2002).
Kirkpatrick S., Gelatt C.D., Vecchi, M. P.: Optimization by Simulated Annealing. Science, New Series 220, 671–680 (1983).
Korach-André M., Roth H., Barnoud D., Péan M., Péronnet F., Leverve X.: Glucose appearance in the peripheral circulation and liver glucose output in men after a large 13C starch meal. Am. J. Clin. Nutr. 80, 881–886 (2004).
Lang D.A., Matthews D.R., Peto J., Turner R.C.: Cyclic oscillations of basal plasma glucose and insulin concentrations in human beings. New England Journal of Medicine. 301 1023–1027 (1979).
Lang D.A., Matthews D.R., Burnett M., Turner R.C.: Brief, irregular oscillations of basal plasma insulin and glucose concentrations in diabetic man. Diabetes 30, 435–439 (1981).
Lefebvre P., Luykx A., Nizet A.: Renal handling of endogenous glucagon in the dog: comparison with insulin. Metabolism 23 753–760 (1974).
Li J., Kuang Y., Mason C.C.: Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays. J. Theo. Biol. 242, 722–735 (2006).
Liu W., Hsin C., Tang F.: A molecular mathematical model of glucose mobilization and uptake. Math. Biosci. 221, 121–129 (2009).
Liu W., Tang F.: Modeling a simplified regulatory system of blood glucose at molecular levels. J. Theor. Biol. 252, 608–620 (2008).
Man C.D., Caumo A., Basu R., Rizza R.A., Toffolo G., Cobelli C.: Minimal model estimation of glucose absorption and insulin sensitivity from oral test: validation with a tracer method. Am. J. Physiol. Endocrinol Metab. 287, E637–E643 (2004).
Man C.D., Campioni M., Polonsky K.S., Basu R., Rizza R.A., Toffolo G., Cobelli C.: Two-hour seven-sample oral glucose tolerance test and meal protocol: minimal model assessment of β-cell responsivity and insulin sensitivity in nondiabetic individuals. Diabetes. 54, 3265–3273 (2005).
Man C.D., Rizza R.A., Cobelli C.: Meal simulation model of the glucose-insulin system. IEEE Tran. Biomed. Eng. 54, 1740–1749 (2007).
Nakai C., Thomas J.A.: Effects of magnesium on the kinetic properties of bovine heart glycogen synthase D. J. Biol. Chem. 250, 4081–4086 (1975).
Nishimura H., Pallardo F., Seidner G.A., Vannucci S., Simpson I.A., Birnbaum M.J.: Kinetics of GLUT1 and GLUT4 GlucosTe ransporters Expressed in Xenopus Oocytes. J. Biol. Chem. 268, 8514–8520 (1993).
Panteleon A.E., Loutseiko M., Steil G.M., Rebrin K.: Evaluation of the effect of gain on the meal response of an automated closed-loop insulin delivery system. Diabetes 55, 1995–2000 (2006).
Pedersen M.G., Toffolo G.M., Cobelli C.: Cellular modeling: insight into oral minimal models of insulin secretion. Am. J. Physiol. Endocrinol. Metab. 298, E597–E601 (2010).
Sedaghat A.R., Sherman A., Quon M.J.: A mathematical model of metabolic insulin signaling pathways. Am. J. Physiol. Endocrinol. Metab. 283, E1084–E1101 (2002).
Shapiro E.T., Tillil H., Polonsky K.S., Fang V.S., Rubenstein A.H., Cauter E.V.: Oscillations in insulin secretion during constant glucose infusion in normal man: relationship to changes in plasma glucose. J. Clinical Endocrinol. & Metab. 67, 307–314 (1988).
Simon C., Brandenberger G., Follenius M.: Ultradian oscillations of plasma glucose, insulin, and C-peptide in man during continuous enteral nutrition. J. Clinical Endocrinol. & Metab. 64, 669–674 (1987).
Steil G.M., Rebrin K., Darwin C., Hariri F., Saad M.F.: Feasibility of automating insulin delivery for the treatment of type 1 diabetes. Diabetes 55, 3344–3350 (2006).
Sturis J., Polonsky K.S., Mosekilde E., Cauter E.V.: Computer model for mechanisms underlying ultradian oscillations of insulin and glucose. Am. J. Physiol. Endocrinol. Metab. 260, E801–E809 (1991).
Toffolo G., Cobelli C.: The hot IVGTT two-compartment minimal model: an improved version. Am. J. Physiol. Endocrinol. Metab. 284, E317–E321 (2003).
Toffolo G., Campioni M., Basu R., Rizza R.A., Cobelli C.: A minimal model of insulin secretion and kinetics to assess hepatic insulin extraction. Am. J. Physiol. Endocrinol. Metab. 290, E169–E176 (2006).
Tolic I.M., Mosekilde E., Sturis J.: Modeling the insulin-glucose feedback system: the significance of pulsatile insulin secretion. J. Theoretical Biology 207, 361–375 (2000).
Varma A., Morbidelli M., Wu H.: Parametric Sensitivity in Chemical Systems. Cambridge University Press, UK (1999).
Walcott S., Lehman S.L.: Enzyme kinetics ofmuscle glycogen phosphorylase b. Biochemistry 46, 11957–11968 (2007).
Winston G.W., Reitz R.C.: Effects of chronic ethanol ingestion on liver glycogen phosphorylase in male and female rats. Am. J. Clin. Nutr. 34, 2499–2507 (1981).
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Liu, W. (2012). Control of Blood Glucose. In: Introduction to Modeling Biological Cellular Control Systems. MS&A. Springer, Milano. https://doi.org/10.1007/978-88-470-2490-8_4
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DOI: https://doi.org/10.1007/978-88-470-2490-8_4
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