Bergman minimal model

This equation is similar to Eqn. (18.5), with t= 1/ 2 and gain K = ki/k2. The gain K can, however, easily be incorporated in the rate constant y, in which case the model discussed in this chapter becomes the Bergman minimal model. 

Bergman RN. Minimal model perspective from 2005. Hormone Research 2006, 64 (Suppl. 3), 8-15. 

R. N. Bergman and C. Cobelli, Minimal modeling partition analysis and the estimation of insulin sensitivity. Fed Proc 39 110-115 (1980). 

Bergman, R. 1989. Toward physiological understanding of glucose tolerance minimal model approach. Diabetes. 39 1512-1527. 

In the literature, often the Bergman (1981) minimal model is discussed. This starts with the glucose and insulin balances, similar to Eqns. (18.1) and (18.2). The insulin concentration Cj does not affect the glucose balance directly. Instead, it acts through a separate compartment, the output of the compartment is Ciactive- The relationship suggested, amongst others, by Khoo (2000) is ... 

Andersen, K.E. and Pfojbjerre, M. (2003) A Bayesian approach to Bergman s minimal model. A MaPhySto Workshop on computational aspects of graphical models, 17-20 Sept. Aalborg University, Denmark. 

The third window for the a positions, which are the centres of the Bergman polyhedra, is a triacontahedron of edge length t , see Figure 12-9. Both presented Wq and Wj windows in Figures 12-6 and 12-7 have some fixed, deterministic points and some probabilistic positions [4]. To obtain a completely deterministic model, we require that the minimal atomic distances along the fivefold, twofold and... 

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