- Title
- Characterisation of optimal responses to pulse inputs in the Bergman minimal model
- Creator
- Townsend, Christopher; Seron, Maria M.; Goodwin, Graham C.
- Relation
- 20th IFAC World Congress . 20th IFAC World Congress: Toulouse, France, 9-14 July 2017: Proceedings [presented in IFAC-PapersOnLine, Vol. 50 Iss. 1] (Toulouse, France 9-14 July, 2017) p. 15163-15168
- Publisher Link
- http://dx.doi.org/10.1016/j.ifacol.2017.08.2263
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2017
- Description
- The Bergman minimal model is a dynamic model of plasma glucose concentration. It has two input variables - insulin delivery and carbohydrate intake. We investigate the behaviour of plasma glucose concentration predicted by the model given carbohydrate (CHO) inputs and commensurate insulin inputs. We observe that to maintain plasma glucose above a specified minimum concentration results in an unavoidable peak in plasma glucose. Additionally, we specify the timing and magnitude of a bolus pulse to minimise this unavoidable peak in plasma glucose concentration whilst attaining but not going below the desired minimum glucose concentration. Finally, we obtain necessary and sufficient conditions for the glucose concentration to be minimised.
- Subject
- control of constrained systems; non-linear systems; positive systems; performance limitations; blood glucose regulation; diabetes; Bergman minimal model; artificial pancreas
- Identifier
- http://hdl.handle.net/1959.13/1384460
- Identifier
- uon:32078
- Identifier
- ISSN:2405-8963
- Language
- eng
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