1. Bergman RN. Origins and history of the minimal model of glucose
regulation. Front Endocrinol. 2021;11:583016.
2. Kodama K, Tojjar D, Yamada S, Toda K, Patel CJ, Butte AJ. Ethnic
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Our data also indicate that IGT encompasses the condition
of decreased insulin clearance with a relatively well preserved
DI/cle and glucose set point (Supplementary Appendix 4 (32)),
and that T2DM encompasses that of decreased DI/cle with a
disrupted glucose set point. A modeling study with simulated
data indicated that changes in insulin clearance may affect glu
cose dynamics even when the normal glucose set point is main
tained and can constitute a pathway for progression of glucose
intolerance (19). Our study based on mathematical models
and observational data now indicates that the phenomenon
predicted by this previous model can occur in IGT. Our find
ings are also consistent with those of a previous study indicat
ing that an increase in insulin secretion is followed by a
decrease in first-pass hepatic insulin clearance when insulin re
sistance is induced (15).
Despite the apparent analogy of the moving up–falling off
phenomenon, whether the body possesses the ability to reduce
insulin clearance in response to a decline in DI and the poten
tial physiological mechanism underlying such a response re
main unknown. However, evidence suggests that changes in
insulin clearance can be a determinant of glucose intolerance
(21, 37). Whereas the direction of causation of decreased insu
lin clearance and glucose intolerance remains unclear, a clas
sification based on DI/cle may provide new insight into the
trajectories of glucose intolerance and T2DM.
Although these results were obtained from a limited number of
individuals, the results were validated by several different mathem
atical models. Moreover, we attempted to estimate DI/cle from a
hyperinsulinemic-euglycemic clamp alone, OGTT, or a fasting
blood test so that the characteristics of DI/cle can be validated
more easily in the future. Whereas we showed that DI/cle estimated
from a hyperinsulinemic-euglycemic clamp test alone was signifi
cantly correlated with that estimated from the 2 clamps, perform
ance of even a single clamp is labor-intensive. Moreover, the
correlation between DI/cle estimated from the 2 clamps and that es
timated from the single clamp was only 0.52, 0.67, or 0.71. It will
therefore be important to develop more accurate and convenient
methods for estimation of DI/cle in order to validate its physiologic
al relevance and clinical usefulness.
The current study has several limitations. For simplicity, we
considered only insulin sensitivity, insulin secretion, and insu
lin clearance. However, insulin secretion has basal, firstphase, and second-phase components (38), and both insulin
sensitivity and insulin clearance have hepatic and peripheral
components (3, 22). Saturation of or time-dependent changes
in insulin clearance (6, 22) were not considered. Although the
models used in this study possesses sufficient expressivity to fit
the data from clamp tests (23) and IVGTT (26, 30), and to
conclude the significance of incorporating insulin clearance
in addition to insulin secretion and insulin sensitivity, as
well as a novel perspective on the progression of glucose in
tolerance with the βGI model, it is important to devise a
more comprehensive measure that encompasses these more in
tricate effects in the future. Moreover, several better ap
proaches to evaluation of the hyperbolic relation have also
been presented, and a power function describing the relation
between insulin sensitivity and insulin secretion gives a better
representation (39-41). Given that insulin sensitivity and insu
lin clearance are correlated (42), the plane representing 1/insu
lin clearance2 is not necessarily horizontal (Fig. 2E), and the
curve corresponding to DI also departs from a hyperbola
when the plane departs from the horizontal. Therefore, this
study indicates that insulin clearance should be considered
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