Model-based insulin therapy scheduling: A mixed-integer nonlinear dynamic optimization approach

Industrial and Engineering Chemistry Research

Volumn 48, Issue 18, 2009, Pages 8595-8604

  Chen, Cheng Liang ^a   Tsai, Hong Wen ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION BEHAVIORS; CLINICAL DATA; GLUCOSE CONTROL; GLYCEMIA; INSULIN DOSAGE; INSULIN DYNAMICS; INSULIN INJECTIONS; INSULIN THERAPY; MODEL-BASED; NON-LINEAR DYNAMICS; OPTIMAL INJECTION; PARAMETRIC ESTIMATION; SCHEDULING STRATEGIES; THERAPY SCHEDULING;

GLUCOSE; INTEGER PROGRAMMING; OPTIMIZATION; PARAMETER ESTIMATION; SCHEDULING; THREE TERM CONTROL SYSTEMS;

INSULIN;

EID: 70349309895     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie9005673     Document Type: Article

References (37)

1. Canadian Diabetes Association 2008 Clinical Practice Guidelines. http://www.diabetes.ca/files/for-professionals/CPGExecSummaryEssentials.pdf.
2. Leahy, J. L.; Cefalu, W. T. Insulin Therapy; Marcel Dekker Inc.: New York, 2002.
3. Hayes, R. P.; Fitzgerald, J. T.; Jacober, S. J. Primary care physician beliefs about insulin initiation in patients with type 2 diabetes. Int. J. Clin. Pract. 2008, 62, 860.
4. Jennifer, A. M.; Russell, D. W. Insulin therapy for type 2 diabetes: rescue, augmentation, and replacement of beta-cell function. Am. Fam. Physician 2004, 70, 489.
5. Doyle III, F. J.; Jovanovi, L.; Seborg, D. Glucose control strategies for treating type 1 diabetes mellitus. J. Process Control 2007, 17, 572.
6. Marchetti, G.; Barolo, M.; Jovanovi, L.; Zisser, H.; Seborg, D. E. A feedforward-feedback glucose control strategy for type 1 diabetes mellitus. J. Process Control 2008, 18, 149.
7. Palerm, C. C.; Zisser, H.; Jovanovic, L.; Doyle, F. J., III. A runto- run control strategy to adjust basal insulin infusion rates in type 1 diabetes. J. Process Control 2008, 18, 258.
8. Ramprasad, Y.; Rangaiah, G. P.; Lakshminarayanan, S. Robust PID controller for blood glucose regulation in type I diabetics. Ind. Eng. Chem. Res. 2004, 43 (26), 8257.
9. Seflon, M. V.; Burns, K. J. Controlled release micropumping of insulin at variable rates. Ind. Eng. Chem. Prod. Res. Dev. 1981, 20, 1.
10. Hovorka, R. Continuous glucose monitoring and closed-loop systems. Diabetic Med. 2006, 23, 1.
11. Berger, M. P.; Rodbard, D. A pharmacodynamic approach to optimizing insulin therapy. Comput. Methods Programs Biomed. 1991, 34, 241.
12. Hovorka, R.; Svaeina, S.; Carson, E. R.; Williams, C. D.; Sonksen, P. H. A consultation system for insulin therapy. Comput. Methods Programs Biomed. 1990, 32, 303.
13. Galvanin, F.; Barolo, M.; Macchietto, S.; Bezzo, F. Optimal design of clinical tests for the identification of physiological models of type 1 diabetes mellitus. Ind. Eng. Chem. Res. 2009, 48 (4), 1989.
14. Chachuat, B.; Singer, A. B.; Barton, P. I. Global mixed-integer dynamic optimization. AIChE J. 2005, 51, 2235.
15. Bansal, V.; Sakizlis, V.; Ross, R.; Perkins, J. D.; Pistikopoulos, E. N. New algorithms for mixed-integer dynamic optimization. Comput. Chem. Eng. 2003, 27, 647.
16. Papamichail, I.; Adjiman, C. S. A rigorous global optimization algorithm for problems with ordinary differential equations. J. Global Optim. 2002, 24, 1.
17. Berger, M. P.; Rodbard, D. Computer simulation of plasma insulin and glucose dynamics after subcutaneous insulin injection. Diabetes Care 1989, 12, 725.
18. Nucci, G.; Cobelli, C. Models of subcutaneous insulin kinetics: A critical review. Comput. Methods Programs Biomed. 2000, 62, 249.
19. Wang, H.; Li, J.; Kuang, Y. Enhanced modeling of the glucoseinsulin system and its applications in insulin therapies. J. Biol. Dyn. 2009, 3, 22.
20. Heinemann, L.; Weyer, C.; Rauhaus, M.; Heinrichs, S.; Heise, T. Variability of the metabolic effect of soluble insulin and the rapid-acting insulin analog insulin aspart. Diabetes Care 1998, 21, 1910.
21. Mudaliar, S. R.; Lindberg, F. A.; Joyce, M.; Beerdsen, P.; Strange, P.; Lin, A.; Henry, R. R. Insulin aspart (B28 asp-insulin): a fast-acting analog of human insulin: absorption kinetics and action profile compared with regular human insulin in healthy nondiabetic subjects. Diabetes Care 1999, 22, 1501.
22. Lepore, M.; Pampanelli, S.; Fanelli, C.; Porcellati, F.; Bartocci, L.; Vincenzo, A. D.; Cordoni, C.; Costa, E.; Brunetti, P.; Bolli, G. B. Pharmacokinetics and pharmacodynamics of subcutaneous injection of longacting human insulin analog glargine, NPH insulin, and ultralente human insulin and continuous subcutaneous infusion of insulin lispro. Diabetes 2000, 49, 2142.
23. Bergman, R. N.; Ider, Y. Z.; Bowden, C. R.; Cobelli, C. Quantitative estimation of insulin sensitivity. Am. J. Physiol. Endocrinol. Metab. 1979, 236, 667.
24. Gaetano, A. D.; Arino, O. Mathematical modelling of the intravenous glucose tolerance test. J. Math. Biol. 2000, 40, 136.
25. Toffolo, G.; Cobelli, C. The hot IVGTT two-compartment minimal model: an improved version. Am. J. Physiol. Endocrinol. Metab. 2003, 284, 317.
26. Sorensen, J. T. A physiologic model of glucose metabolism in man and its use to design and assess improved insulin therapies for diabetes. Ph.D. Thesis, Department of Chemical Engineering, Massachusetts Institute of Technology, 1985.
27. Li, J.; Kuang, Y.; Mason, C. C. Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays. J. Theor. Biol. 2006, 242, 722.
28. Chen, C. L.; Tsai, H. W. Modeling the physiological glucoseinsulin dynamic system on diabetics. J. Theor. Biol., submitted for publication 2009.
29. Chen, C. L.; Tsai, H. W.; Wong, S. S. Modeling the physiological glucose-insulin dynamic system on normal and diabetic subjects. Comput. Methods Programs Biomed., available online July 14, 2009.
30. Tolic, I. M.; Mosekilde, E.; Sturis, J. Modeling the insulin-glucose feedback system: The significance of pulsatile insulin secretion. J. Theor. Biol. 2000, 207, 361.
31. 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. Diabetes 2005, 54, 3265.
32. AIDA online explanations. http://www.2aida.net/aida/Explain.html.
33. Hong, W.; Wang, S.; Li, P.; Wozny, G.; Biegler, L. T. A quasisequential approach to large-scale dynamic optimization problems. AIChE J. 2006, 52, 255.
34. DirecNet public data sets. http://public.direc.net/.
35. Duckworth, W. C.; Bennett, R. G.; Hamel, F. G. Insulin degradation: progress and potential. Endocr. Rev. 1998, 19, 608.
36. The basal rate of insulin injection. Initial Insulin Dosage for Insulin Pump Web site. http://www.perinatology.com/calculators/insulinpump.htm (accessed April 5, 2009).
37. The symptoms of hypoglycemia. Hypoglycemia Symptoms and Alternative Hypoglycemia Treatments Web site. http://www.drpodell.org/hypoglycemia-symptoms. shtml (accessed April 5, 2009).