Research Journal of Applied Sciences

Year: 2010
Volume: 5
Issue: 1
Page No. 1 - 6

Mathematical Modeling and Numerical Simulation of Glucose-Insulin System for Diabetic Therapeutic Management

Authors : Babagana Gutti, Alfred A. Susu and Olufemi A. Fasanmade

References

Bakari, A.G. and G.C. Onyemelukwe, 2005. Total Insulin output is low in type-2 diabetic Nigerians. Int. J. Diabetes Metab., 13: 93-95.
Direct Link  |  

Bergman, R.N. and C. Cobelli, 1980. Minimal modelling, partition analysis and the estimation of insulin sensitivity. Fed. Proc., 39: 110-115.
PubMed  |  Direct Link  |  

Bergman, R.N., D.T. Finegood and S.E. Kahn, 2002. The evolution of beta-cell dysfunction and insulin resistance in type 2 diabetes. Eur. J. Clin. Invest., 32: 35-45.
Direct Link  |  

Bergman, R.N., R. Prager, A. Volund and J.M. Olesfsky, 1987. Equivalence insulin sensitivity derived by the minimal model method and euglycaemic glucose clamp. J. Clin. Invest., 79: 790-800.
Direct Link  |  

Bonora, E., P. Moghetti, C. Zancanaro, M. Cigolini, M. Querena and V. Cacciatore, 1989. Estimates of Insulin action in man: Comparison of insulin tolerance test with euglycaemic and hyperglycaemic clamp studies. J. Clin. Endocrinol. Metab., 68: 374-378.
Direct Link  |  

De Fronzo, R.A., J.D. Tobin and R. Andres, 1979. Glucose clamp technique: A method for quantifying secretion and resistance. Am. J. Physiol., 237: 214-223.
Direct Link  |  

Fasanmade, O.A., 1987. A Study of Insulin Sensitivity in Selected Nigerian Subjects. CMUL, UK., pp: 4-41.

Gaetano, A.D. and O. Arino, 2000. Mathematical modeling of the intra-venous glucose tolerance test. J. Math. Biol., 40: 136-168.
Direct Link  |  

Gerich, J.E., 1993. Control of glycaemia. Baillieres Clin. Endocrinol. Metab., 7: 551-586.
Direct Link  |  

Himsworth, H., 1936. Diabetes mellitus: Its differentiation into insulin-sensitive and insensitive types. Lancet, 1: 127-130.
Direct Link  |  

Kahn, S.E., R.L. Prigeon, D.K. McCulloch, E.J. Boyko, R.N. Bergman and M.W. Schwartz, 1993. Quantification of the relationship between insulin sensitivity and beta cell function in human subjects. Diabetes, 42: 1663-1672.
Direct Link  |  

Makroglou, A., J. Li and Y. Kuang, 2006. Mathematical model and software tools for the glucose-insulin regulatory system and diabetes: An overview. Applied Numerical Math., 56: 559-573.
CrossRef  |  

Seltzer, H.S., E.W. Allen, A.L. Herron and M.T. Brennan, 1967. Insulin secretion in response to glycaemic stimulus: Relation of delayed initial release to carbohydrate in-tolerance in mild diabetes. J. Clin. Invest., 46: 323-335.
PubMed  |  Direct Link  |  

Shen, S.W., G.M. Reaven and J.W. Farquhar, 1970. Comparison of impedance to insulin-mediated glucose uptake in normal subjects and in subjects with latent diabetes. J. Clin. Invest., 49: 2151-2160.
PubMed  |  Direct Link  |  

Topp, B., K. Promislow, G. de Vries, R.M. Miura and D.T. Finegood, 2000. A model of β-cell mass, insulin and glucose kinetics: Pathways to diabetes. J. Theoret. Biol., 206: 605-619.
PubMed  |  Direct Link  |  

Design and power by Medwell Web Development Team. © Medwell Publishing 2024 All Rights Reserved