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An optimal control model of diabetes mellitus.

作者信息

Swan G W

出版信息

Bull Math Biol. 1982;44(6):793-808. doi: 10.1007/BF02465181.

DOI:10.1007/BF02465181

PMID:6760948

Abstract

摘要

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An optimal control model of diabetes mellitus.

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引用本文的文献

Telemedicine-based KADIS combined with CGMS has high potential for improving outpatient diabetes care.

J Diabetes Sci Technol. 2007 Jul;1(4):511-21. doi: 10.1177/193229680700100409.

Linear quadratic gaussian-based closed-loop control of type 1 diabetes.

J Diabetes Sci Technol. 2007 Nov;1(6):834-41. doi: 10.1177/193229680700100606.

Cancer chemotherapy: optimal control using the Verhulst-Pearl equation.

Bull Math Biol. 1986;48(3-4):381-404. doi: 10.1007/BF02459688.

Parameter-dependent transitions and the optimal control of dynamical diseases.

Bull Math Biol. 1988;50(3):227-53. doi: 10.1007/BF02458882.

本文引用的文献

Parameter and structural identifiability concepts and ambiguities: a critical review and analysis.

Am J Physiol. 1980 Jul;239(1):R7-24. doi: 10.1152/ajpregu.1980.239.1.R7.

Future therapy of the insulin-dependent diabetic patient--the implantable insulin delivery system.

Diabetes Care. 1981 Mar-Apr;4(2):319-24. doi: 10.2337/diacare.4.2.319.

Modeling and identification of metabolic systems.

Am J Physiol. 1981 Mar;240(3):R120-9. doi: 10.1152/ajpregu.1981.240.3.R120.

Glucose and insulin dynamics in the anaesthetized dog: a mathematical modeling study.

Med Prog Technol. 1980 Sep;7(4):183-92.

Some engineering aspects of insulin delivery systems.

Diabetes Care. 1980 Mar-Apr;3(2):345-50. doi: 10.2337/diacare.3.2.345.

Relationship between intravenous glucose loads, insulin responses and glucose disappearance rate.

J Clin Endocrinol Metab. 1971 Sep;33(3):409-17. doi: 10.1210/jcem-33-3-409.

Human insulin secretion: as integrated approach.

Annu Rev Med. 1970;21:219-40. doi: 10.1146/annurev.me.21.020170.001251.

Mathematical analysis of blood glucose and plasma insulin responses to insulin infusion in healthy and diabetic subjects.

Comput Biol Med. 1973 Apr;3(1):71-8. doi: 10.1016/0010-4825(73)90021-8.

Clinical control of diabetes by the artificial pancreas.

Diabetes. 1974 May;23(5):397-404. doi: 10.2337/diab.23.5.397.

An artificial endocrine pancreas.

Diabetes. 1974 May;23(5):389-96. doi: 10.2337/diab.23.5.389.

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相似文献

An optimal control model of diabetes mellitus.

Bull Math Biol. 1982;44(6):793-808. doi: 10.1007/BF02465181.

[Modern insulin therapy].

Wien Med Wochenschr. 1985 Apr 15;135(6-7):151-9.

Inhibition of sleep-induced growth hormone secretion: no effect on diabetic control.

Diabetes Care. 1990 Jul;13(7):813-4. doi: 10.2337/diacare.13.7.813b.

Getting down to basals.

Diabetes Self Manag. 2005 Jul-Aug;22(4):60, 63-4, 66, 68.

Critical evaluation of concepts of insulin therapy.

Life Support Syst. 1985;3 Suppl 1:507-18.

[Progress in insulin therapy of diabetes mellitus].

MMW Munch Med Wochenschr. 1982 Nov 19;124(46):1015-8.

Insulin pumps and infusion sets.

Diabetes Forecast. 2011 Jan;64(1):48-53.

Artificial pancreas: state of the art.

Int J Artif Organs. 1988 Jan;11(1):13-26.

[Therapy of insulin-dependent diabetes mellitus].

MMW Munch Med Wochenschr. 1983 Jan 21;125(3):96-9.

Advances in insulin delivery in the management of diabetes mellitus.

Clin Endocrinol Metab. 1982 Jul;11(2):525-48. doi: 10.1016/s0300-595x(82)80027-3.

引用本文的文献

Telemedicine-based KADIS combined with CGMS has high potential for improving outpatient diabetes care.

J Diabetes Sci Technol. 2007 Jul;1(4):511-21. doi: 10.1177/193229680700100409.

Linear quadratic gaussian-based closed-loop control of type 1 diabetes.

J Diabetes Sci Technol. 2007 Nov;1(6):834-41. doi: 10.1177/193229680700100606.

Cancer chemotherapy: optimal control using the Verhulst-Pearl equation.

Bull Math Biol. 1986;48(3-4):381-404. doi: 10.1007/BF02459688.

Parameter-dependent transitions and the optimal control of dynamical diseases.

Bull Math Biol. 1988;50(3):227-53. doi: 10.1007/BF02458882.

本文引用的文献

Parameter and structural identifiability concepts and ambiguities: a critical review and analysis.

Am J Physiol. 1980 Jul;239(1):R7-24. doi: 10.1152/ajpregu.1980.239.1.R7.

Future therapy of the insulin-dependent diabetic patient--the implantable insulin delivery system.

Diabetes Care. 1981 Mar-Apr;4(2):319-24. doi: 10.2337/diacare.4.2.319.

Modeling and identification of metabolic systems.

Am J Physiol. 1981 Mar;240(3):R120-9. doi: 10.1152/ajpregu.1981.240.3.R120.

Glucose and insulin dynamics in the anaesthetized dog: a mathematical modeling study.

Med Prog Technol. 1980 Sep;7(4):183-92.

Some engineering aspects of insulin delivery systems.

Diabetes Care. 1980 Mar-Apr;3(2):345-50. doi: 10.2337/diacare.3.2.345.

Relationship between intravenous glucose loads, insulin responses and glucose disappearance rate.

J Clin Endocrinol Metab. 1971 Sep;33(3):409-17. doi: 10.1210/jcem-33-3-409.

Human insulin secretion: as integrated approach.

Annu Rev Med. 1970;21:219-40. doi: 10.1146/annurev.me.21.020170.001251.

Mathematical analysis of blood glucose and plasma insulin responses to insulin infusion in healthy and diabetic subjects.

Comput Biol Med. 1973 Apr;3(1):71-8. doi: 10.1016/0010-4825(73)90021-8.

Clinical control of diabetes by the artificial pancreas.

Diabetes. 1974 May;23(5):397-404. doi: 10.2337/diab.23.5.397.

An artificial endocrine pancreas.

Diabetes. 1974 May;23(5):389-96. doi: 10.2337/diab.23.5.389.