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A simple control law is derived from the eponymous Bergman Minimal Model with the aim of implementing patient specific insulin injections. The Fisher Information Matrix is used to form an approximate necessary condition for the a posteriori identifiability of the Bergman Minimal Model's parameters from home-use continuous glucose measurements. It is shown that despite parameter uncertainty control...
Analysis of the identifiability of a given model system is an essential prerequisite to the determination of model parameters from physical data. However, the tools available for the analysis of non-linear systems can be limited both in applicability and by computational intractability for any but the simplest of models. The input-output relation of a model summarises the input-output structure of...
The paper gives an overview of errors-in-variables methods in system identification. Background and motivation are given. Simple examples illustrate why the identification problem can be difficult. Under general weak assumptions, the systems are not uniquely identifiable, but can be parameterized using one degree of freedom. Examples where identifiability is achieved under additional assumptions are...
Obtaining an individual model parametrisation based on ambulatory continuous glucose monitoring in patients with type 1 diabetes is a key challenge for the development of an artificial pancreas. Although multiple model structures have been proposed in the literature, parameter identification from individual glycaemic profiles remains a difficult task. In this work, an optimal experimental design study...
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