Vol. 278, Issue 4, E716-E728, April 2000
Interstitial glucose concentration and glycemia: implications
for continuous subcutaneous glucose monitoring
B.
Aussedat1,
M.
Dupire-Angel1,
R.
Gifford2,
J. C.
Klein3,
G. S.
Wilson4, and
G.
Reach1
1 Department of Diabetology, Institut National
de la Santé et de la Recherche Médicale U341,
Hôtel-Dieu, 75004 Paris, France; 2 National
Applied Science, Portland, Oregon
97224; 3 Centre de Morphologie
Mathématique, Ecole des Mines, 77305 Fontainebleau,
France; and 4 Department of Chemistry,
University of Kansas, Lawrence, Kansas 66045
 |
ABSTRACT |
The changes
in plasma glucose concentration and in interstitial glucose
concentration, determined with a miniaturized subcutaneous glucose
sensor, were investigated in anesthetized nondiabetic rats.
Interstitial glucose was estimated through two different calibration
procedures. First, after a glucose load, the magnitude of the increase
in interstitial glucose, estimated through a one-point calibration
procedure, was 70% of that in plasma glucose. We propose that this is
due to the effect of endogenous insulin on peripheral glucose uptake.
Second, during the spontaneous secondary decrease in plasma glucose
after the glucose load, interstitial glucose decreased faster than
plasma glucose, which may also be due to the effect of insulin on
peripheral glucose uptake. Third, during insulin-induced hypoglycemia,
the decrease in interstitial glucose was less marked than that of
plasma glucose, suggesting that hypoglycemia suppressed transfer of
glucose into the interstitial tissue; subsequently, interstitial
glucose remained lower than plasma glucose during its return to basal
value, suggesting that the stimulatory effect of insulin on peripheral
glucose uptake was protracted. If these observations obtained in rats
are relevant to human physiology, such discrepancies between plasma and
interstitial glucose concentration may have major implications for the
use of a subcutaneous glucose sensor in continuous blood glucose
monitoring in diabetic patients.
glucose sensor; insulin; phlorizin; subcutaneous tissue
 |
INTRODUCTION |
THE USE OF THE SUBCUTANEOUS tissue as a site for
continuous blood glucose monitoring assumes that the glucose
concentration in the interstitial tissue reflects blood glucose level,
both under stationary conditions and during glycemic variations (35). We have developed a glucose monitoring system consisting of a needle-type glucose sensor implanted in the subcutaneous tissue (8) and
connected to an electronic system (21). The ability of the glucose
sensor to measure glucose concentration has been evaluated in vitro and
in vivo in rats (3, 24, 25), in dogs (31, 33), and in human volunteers
(2, 25, 32). This was done during changes in blood glucose
concentration produced by glucose administration into the peritoneal
cavity (rat experiments), during an oral glucose tolerance test (trials
in nondiabetic human subjects), or after meals and insulin injections
(trials in diabetic patients). In these studies, interstitial glucose
concentration was estimated from the sensor signal through a two-point
calibration procedure taking into account the values of blood glucose
concentration and of the sensor signal observed before, and during, the
glucose challenge (44). In the course of this evaluation, we observed, in experiments performed both in animals (3, 31, 42) and in humans
(36), that the relationship between glycemia and the interstitial
glucose concentration, which is actually measured continuously by the
glucose sensor, is not simple.
First, during an increase in blood glucose concentration, the sensor
signal, which reflects the glucose concentration in the interstitial
tissue, lagged 5-10 min behind blood glucose. By contrast, during
a decrease in blood glucose after administration of insulin in diabetic
rats, the decrease in the subcutaneous glucose concentration preceded
that in blood (42); such a phenomenon was also observed after insulin
administration in normal dogs (31) and during the secondary decrease in
blood glucose concentration of an oral glucose tolerance test performed
in a nondiabetic volunteer (36). We hypothesized that a push-pull
phenomenon was responsible for this effect. During an increase in blood
glucose, the delayed increase in interstitial glucose level was due to
the transfer of glucose pushed from blood to the extravascular sector,
where the sensor is located. During the decrease in blood glucose, by contrast, the glucose sensor first monitored the local decrease in
subcutaneous glucose concentration, which may be due to the effect of
insulin on glucose transfer pulled from the interstitial fluid into the
surrounding cells (42). This latter phenomenon was also observed by
others measuring glucose in the interstitial tissue by a microdialysis
technique (41). Second, we observed that after hypoglycemia, the
interstitial glucose concentration remained in the hypoglycemic range
during the return of glycemia to normal values (3). This protracted
decrease in interstitial glucose concentration was also observed by
Moberg in nondiabetic patients after an insulin injection (26).
To clarify the relationship between interstitial and blood glucose
concentrations, the aim of this work was therefore to compare, in
nondiabetic fasting rats, the changes in blood glucose concentration and in interstitial glucose concentration, determined by a subcutaneous glucose sensor, under various conditions: the administration of exogenous glucose or insulin, or of phlorizin, a drug that produces a
decrease in blood glucose level through an inhibition of the renal
reabsorption of glucose.
 |
MATERIALS AND METHODS |
Glucose sensor.
The preparation of the miniaturized glucose sensor has been described
elsewhere (8). Briefly, the sensor consists of a platinum anode covered
with Teflon, except for a 2-mm cavity near its extremity, where glucose
oxidase is layered; a membrane made of cellulose acetate and Nafion is
used to screen off interferents such as acetaminophen or ascorbate. The
enzyme layer is coated with a solution of 4.3% (wt/wt) polyurethane
(Tecoflex SG85A, Thermedics), 1.3% (wt/wt) MDX4210 (MED4211, NuSil)
with curing agent in 95% (wt/wt) tetrahydrofuran, and 1%
N,N-dimethylformamide. The sensor is then cured for
3 days in air and is immersed in 0.1 M PBS for 14 days to facilitate
conditioning. A silver/silver chloride cathode, wrapped around the
Teflon coating, is used as the reference electrode. The external
diameter of the sensor is about 0.35 mm. The in vitro sensitivity of
the sensors used in this study, determined in phosphate buffer, was
5.47 ± 0.52 nA/mM glucose, n = 35. The time to reach in vitro
90% of sensor maximal response to a 5 mM increase in glucose
concentration was 2.0 ± 0.2 min.
Electronic control unit.
The glucose sensor was connected through a cable to an electronic
control unit (ECU; Ecole des Mines, Fontainebleau, France), which
controls the sensor applied potential and acquires and stores the
sensor current. The ECU also performs data processing, including filtering and transforming the sensor output into an estimation of
glucose concentration through a calibration procedure described below.
Finally, it displays on an LCD the sensor current in nanoamps or, once
the system is calibrated, the estimation of glucose concentration in
milligrams per deciliter (3, 21). In these experiments the filter,
using mathematical morphology techniques (39), analyzed five
consecutive values of the current sampled every 30 s, thus introducing
a 2.5-min delay.
Sensor calibration.
The sensor output was used to estimate the interstitial glucose
concentration by two different methods of in vivo calibration. It is
not possible to rely on the in vitro sensor sensitivity because it is
well known that the in vivo sensor sensitivity is different when the
sensor is implanted in the subcutaneous tissue and cannot be predicted
from the in vitro value (16). We first used the two-point calibration
procedure developed in our laboratories (44), taking into account two
sets of values of plasma glucose concentration (G1 and G2) and
concomitant sensor output (I1 and I2) determined before and after a
glucose load; the ECU determined each time that the sensor output was
stable and triggered an alarm requesting a blood glucose determination.
These values of sensor output and of concomitant plasma glucose
concentration were entered into the ECU, which calculated an in vivo
sensor sensitivity, referred to below as S2P, based on this
two-point calibration (2P) procedure as S2P = (I1
I2)/(G1
G2) and the theoretical sensor output in the
absence of glucose (I0) as I0 = I1
G1 × S2P,
and subsequently transformed the sensor output
[I(t)] into an estimation of interstitial
glucose concentration based on this initial two-point calibration,
referred to as IG2P(t) = [I(t)
I0]/S2P. In this study we also used a second
calibration procedure in which the sensor sensitivity (S) was simply
calculated on the basis of a one-point calibration procedure (1P),
referred to below as S1P = I1/G1, where I1 and G1 were
determined in basal state; subsequently, the estimation by this
one-point calibration procedure of interstitial glucose concentration,
referred to as IG1P(t), was estimated as
IG1P(t) = I(t)/S1P.
It must be pointed out that these values of IG2P or
IG1P represent only estimations of the real value of
interstitial glucose concentration through the chosen calibration
procedure. Thus IG2P would be identical to the true value
of interstitial glucose if interstitial glucose were identical to
plasma glucose concentration both under basal conditions and at the
plateau in the current observed after the glucose challenge, which, as
will be demonstrated in this study, cannot be true. Nevertheless, this
procedure, calibrating the sensor against two values of blood glucose
concentration makes it possible, first, to describe the kinetics of
interstitial glucose concentration during the calibration procedure
itself, i.e., to analyze the delay between the increase in plasma
glucose and in interstitial glucose, and second, to detect changes in
the relationship between interstitial glucose and plasma glucose during
the period after the calibration procedure, because at the end of this
initial calibration, plasma glucose and interstitial glucose are, by
mathematical construction, identical. Furthermore, this procedure was
validated by its ability to detect in a timely fashion insulin-induced
hypoglycemia by monitoring glucose concentration with a subcutaneous
glucose sensor (3). Similarly, the values of IG1P also
represent only an estimation of interstitial glucose concentration
through the one-point calibration procedure, which assumes that the
sensor response to glucose is linear over the range of experimental
values, and that the sensor signal in the absence of glucose is
negligible, which has not been experimentally demonstrated.
Nevertheless, the one-point calibration procedure can be used to
demonstrate different relationships between plasma glucose and
interstitial glucose according to the experimental condition.
Experimental procedure.
The sensor was implanted, through a 20-gauge cannula, under halothane
anesthesia in the interscapular subcutaneous tissue of fasting 250-g
male Wistar rats (6 sets of experiments, n = 35 rats) and
polarized overnight with a miniaturized 650-mV battery. The next
morning the rat was again anesthetized with halothane, and the sensor
was connected to the ECU. Throughout the experiment, the animal was
warmed under a lamp. To avoid any surgical procedure, no tracheostomy
was performed and no catheter was indwelled in these animals. Plasma
glucose concentration was determined every 10 min in 50 µl of blood
sampled at the tail vein (Beckman Analyzer, Fullerton, CA). In two
separate experiments (data not shown), we verified that during the time
course of the experiment (6 h), the rectal temperature remained stable
between 38 and 39.5°C, the blood pressure measured at the tail
artery of the animal at 30-min intervals with a BP Recorder 8005 (Serlabo, Bonneuil/Marne, France) device was kept within the
physiological range (80-120 mmHg), and that finally the 38 50-µl
blood samples used in this study to determine blood glucose
concentration (sampled in the control experiment from a jugular
catheter) had essentially no effect on the rat hematocrit, which
remained stable at 40% in one experiment and decreased from 45 to 43%
in the other.
Six sets of experiments were performed. Group 1 (n = 6, glucose-glucose): at t = 0 min, i.e., when the ECU had
determined that the sensor output was stable, a first intraperitoneal
injection of glucose (1 g/kg body wt) was performed and the system was
calibrated (two-point calibration procedure) on the basis of the basal
and peak in the sensor output. A second injection of glucose (1 g/kg) was performed 3 h after the first glucose injection. Group 2 (n = 7, glucose-insulin-glucose): after the first injection of
glucose, used to calibrate the system (two-point calibration
procedure), rats received an intravenous injection of insulin (porcine
regular insulin, Organon, Puteaux, France, 1.5 U/kg body wt)
administered 80 min after the glucose injection. A second injection of
glucose was performed 300 min after the first glucose injection.
Group 3 (n = 6, insulin-glucose): rats were not
given glucose and received an injection of insulin, performed 90 min
after the time when the ECU had recognized that the sensor output was
stable; an intraperitoneal glucose load was performed at t = 300 min. The system was calibrated (two-point calibration procedure) on
the basis of the two sets of sensor output and concomitant plasma
glucose concentration determined before and at the nadir of the
decrease in the sensor output after insulin injection. Group
4 (n = 6, glucose-phlorizin-glucose): after the first
injection of glucose, used to calibrate the system (two-point
calibration procedure), rats received an intraperitoneal injection of
phlorizin (Sigma, St Louis, MO; 0.6 g/kg, 40% solution in propylene
glycol) performed 90 min after the glucose bolus. Phlorizin decreases
blood glucose concentration by inhibiting sodium- and energy-dependent
glucose transporters at the kidney level (11, 40). Another injection of
glucose was performed at t = 300 min. Group 5 (n = 6, phlorizin-glucose): rats received the injection of
phlorizin at t = 90 min, and the system was calibrated (two-point calibration procedure) on the basis of the two sets of
sensor output, and concomitant plasma glucose concentration was
determined before, and at the nadir of, the decrease in the sensor
output after phlorizin administration. An injection of glucose was
performed at t = 300 min. Finally, group 6 (n = 4, control) consisted of animals in which glycemia and
sensor signal were monitored without any intervention during 300 min.
Glucose was then injected intraperitoneally to retrospectively
calibrate the system (two-point calibration procedure) and to quantify
the drift in the sensor response over this period of time. At the end
of the experiment, animals were killed with an overdose of pentothal sodium.
Presentation of results and statistics.
Because the filter introduced a fixed 2.5-min delay in the sensor
output, the sensor output curves were shifted to the left to represent
the real time course of the estimation of glucose concentration in
interstitial tissue. All data are presented in text and figures as
means ± SE, and the statistical significance was assessed by paired
Student's t-test and ANOVA. In each experimental group, ANOVA
analysis of the two curves (interstitial glucose and plasma glucose)
demonstrated that they were significantly different (P = 0.0001).
 |
RESULTS |
Glucose kinetics in plasma and interstitial tissue during a glucose
load with interstitial glucose concentration determined on the basis of
single- or two-point calibration procedures.
Figure 1A represents the results
obtained in the three series of animals in which a glucose load was
performed at time 0 (groups glucose-glucose,
glucose-insulin-glucose, glucose-phlorizin-glucose, n = 19).
Plasma glucose increased from 100 ± 4 to 204 ± 5 mg/dl. When
interstitial glucose was estimated by the two-point calibration procedure, the increase in IG2P followed that in plasma
glucose with a 5 ± 1-min delay. This delay was determined for each
experiment as the time necessary for IG2P to reach the
value of plasma glucose observed 10 min after the glucose injection.
When interstitial glucose was estimated by the one-point calibration
procedure performed immediately before the glucose load
(IG1P), it increased to 174 ± 7 mg/dl and the ratio
between the increments in plasma glucose and IG1P was 75 ± 8% (P < 0.005 vs. 100). Figure 1B
presents the data from the glucose load performed at t = 300 min in the control group (n = 4), showing that the results were
essentially identical.

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Fig. 1.
Plasma glucose (closed circles) and continuous glucose concentration
(solid line) obtained by the one-point and two-point calibration
procedure after glucose administration in (A) 3 series of
animals in which glucose load was performed at t = 0 min
(groups glucose-glucose, glucose-insulin-glucose, and
glucose-phlorizin-glucose, n = 19) and (B) control
group (n = 4).
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|
Glucose kinetics in plasma and interstitial tissue during two
consecutive injections of glucose (Fig. 2).
After the first intraperitoneal injection of glucose, plasma glucose
concentration (Fig. 2, open circles) increased from 98 ± 5 to 216 ± 10 mg/dl at a rate of 5.61 ± 0.37 mg · dl
1 · min
1.
Subsequently, from t = 70 min, plasma glucose decreased from 170 ± 6 to 118 ± 8 mg/dl (at a rate of 0.72 ± 0.14 mg · dl
1 · min
1,
calculated between 70 and 90 min and of 0.49 ± 0.04 mg · dl
1 · min
1,
calculated between 70 and 190 min, Table
1). After the second intraperitoneal
injection of glucose, plasma glucose concentration (PG) increased at a
rate of 2.46 ± 0.22 mg · dl
1 · min
1
from 118 ± 8 to 170 ± 6 mg/dl. The rate of increase
(P < 0.0005), the peak value (P < 0.02), and the
increment (52 ± 6 vs. 118 ± 5 mg/dl, P < 0.0005) of PG were significantly lower than after the first glucose
administration.

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Fig. 2.
Plasma glucose (open circles) and interstitial glucose concentration
(solid line) in rats after 2 consecutive administrations of glucose
(n = 6). *Significant difference (P < 0.05 at least).
A: data analyzed through two-point calibration procedure.
B: decreases in plasma glucose (closed circles) and
interstitial glucose concentration measured with 2-point procedure
(IG2p; solid line) expressed as a percentage of values
determined at peak of glucose load. C: data analyzed through
1-point calibration procedure, performed before first glucose
administration (cal).
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|
Figure 2A represents the data analyzed through the two-point
calibration procedure, making an analysis of the various delays between
the two curves possible. During the initial increase in PG after the
first glucose load, IG2P followed plasma glucose with a 3.5 ± 1.6 min lag. From the glucose peak, this delay was not observed for
1 h. During this period of time, the decrease in IG2P
preceded that in blood for the next 120 min; IG2P was lower
than the concomitant value of plasma glucose (P < 0.05). This phenomenon is better shown in Fig. 2B, showing the
decrease in PG (closed circles) and in IG2P (solid line),
expressed as a percentage of the values determined at the peak of the
glucose load. During the second glucose load, the increments in plasma glucose and in IG2P, estimated from the initial two-point
calibration procedure, were essentially identical (52 ± 6 vs.
53 ± 4 mg/dl, NS, ratio
IG2P/
PG = 1.02 ± 0.04). IG2P followed plasma glucose with an apparent
lag time significantly longer than after the first injection of glucose
(9.6 ± 1.4 min, P < 0.05). However, when the estimation of
IG2P was calculated on a two-point calibration of the
sensor, taking into account the basal and peak values of plasma glucose
and sensor output observed during the second glucose load, the delay
was only slightly, and not significantly, longer (5.6 ± 1.7 min, NS)
than during the first glucose challenge.
Figure 2C represents the same data interpreted on the basis of
a one-point calibration procedure performed before the first glucose
load. During the first glucose load, IG1P (solid line) increased to 186 ± 14 mg/dl, and the ratio between the magnitudes of
increase in IG1P and plasma glucose was 73 ± 6%
(P < 0.005). At time 190 min, when plasma glucose had
returned to 118 ± 8 mg/dl, IG1P was 103 ± 6 mg/dl (NS).
During the second glucose load, IG1P increased to 142 ± 9 mg/dl, and the ratio between the magnitudes of increase in
IG1P and plasma glucose was 71 ± 7% (NS vs. the first
glucose load).
Glucose kinetics after insulin administration at the glucose peak
reached after a glucose load.
Figure 3 presents the results of seven
experiments in which exogenous insulin was administered to the animals
at the glucose peak after a glucose load. During the first glucose
load, plasma glucose increased from 102 ± 6 to 196 ± 6 mg/dl, at a
rate of 4.19 ± 0.17 mg · dl
1 · min
1.
After the intravenous injection of insulin, plasma glucose decreased within 50 min from 160 ± 11 to 39 ± 3 mg/dl; the rate of decrease was 3.61 ± 0.42 mg · dl
1 · min
1
(Table 1), which was significantly faster than that observed during the
spontaneous decrease in PG observed in the first set of experiments
(P < 0.0001). Subsequently, PG returned progressively to
basal value (84 ± 5 mg/dl at t = 300 min) and, after the
second intraperitoneal injection of glucose, plasma glucose
concentration increased to 188 ± 10 mg/dl at a rate of 3.44 ± 0.90 mg · dl
1 · min
1,
which was slightly but not significantly lower than that observed during the first glucose administration (P = 0.39). The
increment in plasma glucose was significantly higher than that observed during the second glucose load of the first series of experiments shown
in Fig. 2 (104 ± 8 vs. 52 ± 6 mg/dl, P < 0.0005).

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Fig. 3.
Plasma glucose and interstitial glucose concentration in rats after 2 consecutive administrations of glucose. Insulin was administered after
first glucose load, when animals were still hyperglycemic (n = 7). A: data analyzed through 2-point calibration procedure.
B: decreases in plasma glucose (closed circles) and
IG2p (solid line) expressed as a percentage of values
determined before administration of insulin. C: data analyzed
through 1-point calibration procedure, performed before first glucose
administration (cal). * Significant difference (P < 0.05 at least).
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|
Figure 3A represents the data analyzed through the two-point
calibration procedure, the delay between the increase in plasma glucose
and in IG2P being 4.3 ± 1.0 min (NS vs. the first series of experiments). Here too, during the initial decrease in plasma glucose, this delay was no longer observed. After insulin injection, the decrease in IG2P did not precede, but followed that in
plasma glucose, and at t = 90 min, plasma glucose was lower
than IG2P (114 ± 7 vs. 139 ± 6 mg/dl, P < 0.002). This is shown in Fig. 3B, where the decrease in plasma
glucose (closed circles) and in IG2P (solid line) is
expressed as a percentage of the values determined immediately before
the insulin injection. Then, until t = 140 min,
IG2P was slightly higher than plasma glucose (55 ± 11 vs.
39 ± 3 mg/dl at t = 130 min, P = 0.06); subsequently, while plasma glucose returned to normal values, IG2P became
lower than the concomitant values of plasma glucose (63 ± 8 vs. 84 ± 5 mg/dl at t = 300 min, P < 0.05). After the
second glucose injection, the peak in IG2P value, estimated
from the initial two-point calibration procedure, was much blunted by
comparison with the plasma glucose peak value (131 ± 11 vs. 188 ± 10 mg/dl, P < 0.0002), the increment in IG2P,
estimated from the two-point calibration procedure performed during the
first glucose load, being lower than that in plasma glucose (66 ± 11 vs. 104 ± 8 mg/dl, P < 0.002, ratio
IG2P/
PG = 0.62 ± 0.08). When the estimation of
IG2P was calculated based on a calibration of the sensor
taking into account the basal and peak values of plasma glucose and
sensor output observed during the second glucose load, the delay was
only slightly, and not significantly, longer (6.4 ± 0.6 min, NS) than
during the first glucose challenge.
Figure 3C compares the values of plasma glucose and
IG1P determined through the one-point calibration
procedure, performed before the first glucose load. Until insulin
administration, the results observed were the same as in the previous
series of experiments; the magnitude of the increase in
IG1P to 178 ± 14 mg/dl at time 30 min was blunted by 76 ± 13% compared with that of plasma glucose (NS vs. the first series
of experiments). After insulin injection, during the sharp decrease in
plasma glucose, IG1P decreased with a 5-min delay, to reach
65 ± 10 mg/dl at t = 130 min, which was significantly higher
than the plasma glucose nadir (P < 0.01), as already shown
(Fig. 3A) by using the two-point calibration procedure. It
remained subsequently stable at this level during the recovery in
plasma glucose, and at t = 300, when plasma glucose had
returned to 84 ± 5 mg/dl, IG1P was still 71 ± 9 mg/dl
(P < 0.05). During the second glucose load, IG1P
increased to 126 ± 15 and the ratio between the magnitude of the
increase in IG1P was 50 ± 12%, which was significantly
lower (P < 0.003) than that observed during the first glucose
load of this series of experiments and than that of the second glucose
load of the first series of experiments (Fig. 2) performed without
prior insulin administration (P < 0.05).
Glucose kinetics after insulin administration in the basal state.
The effect of insulin administered in the basal state is shown in Fig.
4. After the intravenous injection of
insulin, plasma glucose decreased from 89 ± 6 to 48 ± 4 mg/dl within 20 min at a rate of 2.07 ± 0.32 mg · dl
1 · min
1,
which was also significantly faster (P < 0.005) than that
observed during the spontaneous decrease in plasma glucose observed in the first set of experiments during the second part of the glucose challenge (Fig. 2, Table 1). It then returned progressively to basal
value and was 89 ± 8 mg/dl at t = 300 min. After the
intraperitoneal injection of glucose, plasma glucose concentration
increased to 206 ± 11 mg/dl at a rate of 4.80 ± 0.56 mg · dl
1 · min
1.
Here again, the increment in plasma glucose was significantly higher
than that observed during the second glucose load of the first series
of experiments shown in Fig. 2 (118 ± 7 vs. 52 ± 6 mg/dl, P < 0.0001).

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Fig. 4.
Plasma glucose and interstitial glucose concentration in rats after a
glucose load preceded by an administration of insulin (n = 6).
A: data analyzed through 2-point calibration procedure.
B: decreases in plasma glucose (closed circles) and
IG2p (solid line) expressed as a percentage of values
determined before administration of insulin. C: data
analyzed through 1-point calibration procedure, performed before
insulin administration (cal). * P < 0.06 at least.
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|
Figure 4A gives the results of the two-point calibration
procedure, taking into account the values of plasma glucose and sensor output observed before and at the nadir of plasma glucose after insulin
injection. Here too, after the administration of insulin, the decrease
in IG2P followed that in plasma glucose for 20 min, with
plasma glucose being lower than IG2P at t = 100 min
[63 ± 5 vs. 80 ± 7 mg/dl (P < 0.05)]. This is also shown in Fig. 4B, showing that the
decrease in IG2P followed that in plasma glucose with a 7 ± 2 min delay. Subsequently, as in the previous set of experiments,
IG2P remained lower than plasma glucose while plasma glucose returned to basal values (76 ± 6 vs. 87 ± 7 mg/dl at
t = 290 min, P < 0.05). During the glucose load,
IG2P increased from 75 ± 7 to 169 ± 5 mg/dl; the
increment in IG2P was lower than that in plasma glucose (94 ± 9 vs. 118 ± 7 mg/dl, P < 0.05, ratio
IG2P/
PG = 0.80 ± 0.06). When the estimation of
IG2P was calculated on a calibration of the sensor, taking
into account the basal and peak values of plasma glucose and sensor
output observed during the glucose load, the delay was similar to that observed in the previous set of experiments (6.0 ± 1.1 min, NS).
Figure 4C presents the results of the one-point calibration
procedure, performed before the insulin injection. After insulin injection, IG1P decreased to reach a nadir of 58 ± 5 mg/dl, which was significantly higher than the plasma glucose nadir
(P < 0.0001), similar to the phenomenon observed in the
previous set of experiments (Fig. 3C). During plasma glucose
recovery to basal value, it increased more slowly than plasma glucose
and became lower at 270 min than the concomitant value of plasma
glucose (75 ± 9 vs. 85 ± 4 mg/dl, P < 0.05). During the
second glucose load, IG1P increased to 148 ± 9 mg/dl and
the ratio between the magnitudes of increase in IG1P and
plasma glucose was 59 ± 4%, which was similar to that observed
during the second series of experiments (Fig. 3,
glucose-insulin-glucose group, P = 0.28) and significantly
lower than that of the second glucose load of the first series of
experiments (Fig. 2) performed without prior insulin administration
(P < 0.05).
Glucose kinetics after phlorizin administration in the basal state.
The effect of phlorizin administered in the basal state is shown in
Fig. 5. After the intraperitoneal injection
of phlorizin, plasma glucose decreased from 100 ± 6 to 68 ± 5 mg/dl
within 50 min at a rate of 1.03 ± 0.10 mg · dl
1 · min
1
(Table 1), which was significantly higher than the rate of decrease in
plasma glucose observed in the first set of experiments (P < 0.001). It then returned progressively to basal value and was 89 ± 13 mg/dl at 300 min. After the intraperitoneal injection of
glucose, plasma glucose concentration increased to 180 ± 14 mg/dl at
a rate of 2.52 ± 0.36 mg · dl
1 · min
1.

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Fig. 5.
Plasma glucose and interstitial glucose concentration in rats after a
glucose load preceded by an administration of phlorizin (n = 6). A: data analyzed through 2-point calibration procedure.
B: decreases in plasma glucose (closed circles) and
IG2p (solid line) expressed as a percentage of values
determined before administration of phlorizin. C: data analyzed
through 1-point calibration procedure, performed before phlorizin
administration (cal). * P < 0.05 at least.
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|
The data from the two-point calibration procedure is shown in Fig.
5A. After phlorizin administration, IG2P decreased
from 98 ± 6 to 69 ± 6 mg/dl, with a very short lag compared with
plasma glucose. This 2-min lag is shown in Fig. 5B. At
t = 300 min, IG2P was slightly, but not
significantly, lower than plasma glucose (79 ± 13 vs. 84 ± 14 mg/dl, NS). After the intraperitoneal injection of glucose,
IG2P increased from 79 ± 13 to 143 ± 16 mg/dl, the increment in IG2P being lower than that in
plasma glucose (63 ± 10 vs. 91 ± 14 mg/dl, P < 0.05, ratio
IG2P/
PG = 0.74 ± 0.10). When the estimation
of IG2P was calculated on a calibration of the sensor
taking into account the basal and peak values of plasma glucose and
sensor output observed after the glucose load, the delay was 9.2 ± 2.6 min.
When IG1P was estimated on the basis of a one-point
calibration procedure performed before phlorizin injection (Fig.
5C), its decrease was slightly smaller than that of plasma
glucose: at time 120 min, plasma glucose was 73 ± 5, and
IG1P was 79 ± 6 mg/dl (NS). IG1P remained
stable at that level during the recovery of plasma glucose from
hypoglycemia, and at time 300 min, the two values were essentially
identical (86 ± 11 vs. 89 ± 13 mg/dl, NS). During the glucose load,
IG1P increased to 139 ± 16 mg/dl and the ratio between
the magnitudes of increase in IG1P and plasma glucose was
55 ± 7%, which was lower than that of the second glucose load of the
first series of experiments (Fig. 2) performed without prior insulin
administration (P < 0.05).
Glucose kinetics after phlorizin administration at the glucose peak
reached after a glucose load (Fig. 6).
After the first intraperitoneal injection of glucose, plasma glucose
concentration increased from 100 ± 5 to 208 ± 9 mg/dl at a rate of
4.00 ± 0.47 mg · dl
1 · min
1.
After the intraperitoneal injection of phlorizin, glycemia decreased within 60 min from 163 ± 9 to 92 ± 9 mg/dl at 150 min at a rate of
2.11 ± 0.21 mg · dl
1 · min
1
(Table 1), which was significantly faster (P < 0.0002) than that observed in the absence of phlorizin injection (Fig. 2), but
slower (P < 0.02) than that observed after insulin injection (Fig. 3). After the second intraperitoneal injection of glucose, plasma
glucose concentration increased from 87 ± 10 to 163 ± 13 mg/dl at a
rate of 2.31 ± 0.33 mg · dl
1 · min
1.
The peak in plasma glucose (P < 0.05), the rate of increase (P < 0.02), and the increment (76 ± 5 vs. 108 ± 9 mg/dl,
P < 0.005) were lower than after the first glucose injection.

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Fig. 6.
Plasma glucose and interstitial glucose concentration in rats after 2 consecutive administrations of glucose. Phlorizin was administered
after first glucose load, when animals were still hyperglycemic
(n = 6). A: data analyzed through 2-point calibration
procedure. B: decreases in plasma glucose (closed circles) and
IG2p (solid line) expressed as a percentage of values
determined before administration of phlorizin. C: data analyzed
through 1-point calibration procedure, performed before first glucose
administration (cal). * P < 0.05 at least.
|
|
The results of the two-point calibration procedure are presented in
Fig. 6A. During the first glucose load, IG2P
followed PG with a 5.3 ± 1.0-min lag, and again, during the initial
decrease in plasma glucose, this delay was no longer observed; this
domain was very similar to those described in Figs. 2 and 3.
IG2P decreased also from 167 ± 9 to 81 ± 8 mg/dl (NS) without any lag during the first 20 min after phlorizin
administration. In the next 40 min, the decrease in IG2P
was faster than that of plasma glucose (Fig. 6B), a phenomenon
similar to that observed in the first group of animals (glucose-glucose
group, Fig. 2B). Thereafter, whereas plasma glucose remained
stable around 90 mg/dl, IG2P decreased significantly to
reach 54 ± 7 mg/dl at t = 300 min, which was significantly
lower than plasma glucose (87 ± 10 mg/dl, P < 0.01). IG2P increased from 54 ± 7 to 114 ± 17 mg/dl. The
magnitudes of the increase in IG2P and plasma glucose were
statistically different (59 ± 10 vs. 76 ± 5 mg/dl, P < 0.05, ratio
IG2P/
PG = 0.77 ± 0.10). When the
estimation of interstitial glucose was calculated on a calibration of
the sensor taking into account the basal and peak values of plasma
glucose and sensor output observed during the second glucose load, the
delay was only slightly, and not significantly, longer (9.0 ± 3.7 min, NS) than during the first glucose challenge.
Figure 6C presents the results of the one-point calibration
method performed before the glucose load. Until phlorizin
administration, the results observed were the same as in the previous
series of experiments; the increase in IG1P to 174 ± 8 mg/dl at 30 min was blunted by 69 ± 11% compared with the increase
in plasma glucose (P = 0.36 vs. the first series of
experiments). After phlorizin injection, IG1P decreased
faster than plasma glucose, to reach 65 ± 6 mg/dl at 300 min, which
was significantly lower than the concomitant value of plasma glucose
(P < 0.0001). During the second glucose load IG1P
increased to 107 ± 11 mg/dl and the ratio between the increase in
IG1P and plasma glucose was 58 ± 9%, which was significantly lower than that observed during the first glucose load of
this series of experiments (P < 0.05) and than that of the
second glucose load of the first series of experiments (Fig. 2)
performed without prior phlorizin administration (P < 0.05).
Sensor output and plasma glucose concentration in the absence of
intervention.
As shown in Fig. 7A, the current
produced by the sensor mirrored the slight changes in glycemic
concentration. At t = 300 min, an intraperitoneal injection of
glucose produced an increase in plasma glucose from 86 ± 5 to 197 ± 8 mg/dl at a rate of 5.15 ± 0.44 mg · dl
1 · min
1,
which was not significantly different from increases observed for the
first glucose loads in the glucose-glucose and
glucose-phlorizin-glucose groups, and slightly, but significantly
faster (P < 0.02) for the comparison with the
glucose-insulin-glucose group. It was twice as fast as the rate of
increase observed in animals from the glucose-glucose group (P < 0.0002) and in animals previously treated with phlorizin (P < 0.001 and P < 0.005 for the phlorizin-glucose and
glucose-phlorizin-glucose groups, respectively), but not significantly different from the glucose load performed in insulin-treated animals. The sensor output increased from 13.5 ± 1.83 to 26.28 ± 3.58 nA. This glucose load was used to calibrate the sensor by the two-point calibration procedure. The delay between the increases in plasma glucose and IG2P was 6 ± 2 min. From this calibration, it
was possible to determine, retrospectively, the glucose concentration in interstitial fluid at t = 0: it was 128 ± 9 mg/dl,
slightly higher than the concomitant plasma glucose concentration,
which was 110 ± 8 mg/dl (P = 0.054). The ratio between the
two values was 1.18 ± 0.07%.

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Fig. 7.
Control experiments (n = 4). A: plasma glucose
concentration (open circles) and sensor output (solid line) in rats in
basal state (t = 30 to t = 300 min) and after an
administration of glucose performed at end of experiment. B:
plasma (open circles) and interstitial glucose concentration (solid
line) determined by 1-point calibration procedure performed at
t = 0 min (cal). * P < 0.05 at least.
|
|
The results of the one-point calibration performed at t = 0 min
are shown in Fig. 7B. During the glucose load, IG1P
increased to 162 ± 12 mg/dl and the ratio between the magnitudes of
increase in IG1P and plasma glucose was 72 ± 6%, which
was identical to that observed during the first glucose load of the
glucose-glucose, glucose-insulin-glucose, and glucose-phlorizin-glucose
groups, shown in Fig. 1 (NS), but significantly higher than that
observed during the second glucose load of the
glucose-insulin-glucose (P < 0.05),
insulin-glucose (P < 0.001), glucose-phlorizin-glucose (P < 0.05), and phlorizin-glucose (P < 0.005) groups.
Change in the ratio between IG1P and plasma glucose
under different experimental conditions.
Figure 8A represents the ratio
between IG1P and plasma glucose in the control group; the
one-point calibration was performed at t = 0 min (open
circles), showing that it remained essentially stable until the glucose
load. Figure 8B represents the data obtained in the other
experimental groups. It illustrates the fact that, first, during an
increase in plasma glucose after a glucose load, the delay in the
increase in IG1P produced, as expected, a transient decrease in the ratio IG1P/plasma glucose; second, that
during a decrease in plasma glucose, after the administration of
insulin or phlorizin at time 80-90 min, the delay in the decrease
in IG1P, producing an increase in this ratio, was not
observed during the spontaneous decrease in glucose concentration after
the initial glucose load (group glucose-glucose), consistent with the
data shown in Fig. 2, A and B, obtained by using the
other, two-point, calibration procedure; third, that the magnitude of
this increase in the ratio of IG1P/plasma glucose was
greater in the animals treated by insulin than by phlorizin, and was
the highest in the glucose-insulin-glucose group, which exhibited the
fastest rate of decrease in plasma glucose (Table 1).

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Fig. 8.
Ratio between IG1P and plasma glucose concentration (PG).
A: in control group, the one-point calibration was
performed at t = 0 min. B: data obtained in 5 other
experimental groups.
|
|
 |
DISCUSSION |
In this study, we compared the values of plasma glucose concentration
and interstitial glucose level determined with a glucose sensor
implanted in the subcutaneous tissue. Over the time course of these
experiments, the drift in the sensitivity of the sensor used to
determine the interstitial glucose concentration was minimal (Figs. 7
and 8A). Comparison of Fig. 1, A and B, showing
essentially similar patterns in plasma glucose and interstitial glucose
when the glucose load was performed at t = 0 or 300 min,
suggests also that both the physiological preparation and the glucose
sensor were stable over the time course of these experiments.
Because the sensor is measuring interstitial glucose concentration, the
interpretation of the results must consider the fact that this
parameter is the result of different fluxes, under a model shown in
Fig. 9. Plasma glucose concentration is the
net result of exogenous glucose (Gex) or of endogenous,
hepatic, glucose production (Gend), and of glucose
elimination by the kidney Gk. Flux Gend is
suppressed by insulin and is stimulated by counter-regulatory hormones
secreted during hypoglycemia. Gk is stimulated by
phlorizin. Interstitial glucose concentration, which is measured by the
glucose sensor, is the net result of the input from the vascular blood (flux I) minus the output into the surrounding cells (flux O). Flux O
is stimulated by insulin, with this effect being suppressed by
catecholamines. We cannot rule out the additional effect of changes in
local blood flow around the sensor, occurring for instance in some of
these experiments during hypoglycemia, although both an increase (1, 5,
9, 14) and a decrease (19, 20) in subcutaneous blood flow have been
described after hypoglycemia.

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Fig. 9.
Tentative model describing origin of interstitial glucose concentration
monitored by the glucose sensor. Gex, exogenous glucose;
Gend, endogenous glucose; Gk, glycosuria
increased by phlorizin; I, input glucose transfer from blood to
interstitial space; O, output glucose uptake by surrounding cells.
|
|
First, during a glucose load, the increment in interstitial glucose
concentration determined through the one-point calibration procedure
was found to be blunted by comparison with that in blood. This effect
was initially observed for the first glucose load (Figs. 1-3 and
6) and was more pronounced during the second glucose load in those
animals in which exogenous insulin was administered before the second
glucose load (Figs. 3 and 4). This phenomenon is consistent with an
effect of insulin stimulating flux O, thus blunting the increase in
interstitial glucose. Incidentally, during the second glucose load
performed in the first group of animals (Fig. 2), the increase in
plasma glucose concentration was smaller than during the first glucose
challenge. This may result from a protracted effect of endogenous
insulin secreted during the first glucose load, or more likely of a
higher insulin secretion during the second glucose challenge, linked to
the memory effect of glucose on insulin secretion (17, 27).
Second, after exogenous insulin administration, the magnitude of the
decrease in interstitial glucose concentration estimated through the
one-point calibration procedure was less pronounced than that of
glycemia during the immediate period after insulin injection and,
subsequently, interstitial glucose concentration became lower than
glycemia during its recovery to normal range (Figs. 3 and 4). This can
also be explained by the following model: during insulin-induced
hypoglycemia the decrease in plasma glucose concentration is due to the
suppression of endogenous glucose production and the stimulation of
peripheral glucose uptake. This results in a decrease in flux I. However, interstitial glucose concentration is the net result of this
flux and of peripheral glucose uptake (flux O). It is conceivable that
during the hypoglycemic period, catecholamines suppress in part the
effect of insulin on flux O, thus preventing interstitial glucose
concentration from decreasing at the same extent as glycemia. When
plasma glucose concentration returns to the normal range, this
catecholamine effect ceases to exist, and the protracted effect of
insulin on flux O would explain why interstitial glucose concentration
finally became lower than glycemia.
A similar pattern was observed during hypoglycemia induced by phlorizin
administration (Figs. 5 and 6). A protracted decrease in interstitial
glucose was observed when glycemia returned to normal or during the
subsequent administration of glucose. This effect was more pronounced
when phlorizin was administered at the peak of the first glucose load.
In this later case, this can be readily explained by the additive
effects of the protracted stimulatory effect of endogenous insulin on
flux O, and the effect of phlorizin on Gk, resulting in a
decrease in flux I. Surprisingly, however, in the group of animals in
which phlorizin had been administered without prior administration of
glucose, the increment in IG2P after the late glucose
administration was blunted by 50% by comparison with that in plasma
glucose, the results being actually very similar to those observed when
the glucose bolus was administered after an injection of insulin. To
explain this observation, an increase in plasma insulin after phlorizin
administration is unlikely because the hypoglycemic effect of phlorizin
should have suppressed endogenous insulin secretion and because
phlorizin has been shown to have a suppressive effect on
glucose-induced insulin secretion by isolated rat and mouse islets (18,
43). A potentiation of insulin action on flux O by phlorizin is also
unlikely because phlorizin has been shown to inhibit insulin action on
glucose uptake (12, 13, 45). The only explanation for the decrease in
IG and the blunted increase in IG after the glucose load, which were
observed after phlorizin administration, would therefore be an
inhibition of flux I, i.e., of the transfer of glucose from the
vascular bed to the interstitial milieu. It has been shown that sodium- and energy-dependent glucose transporters, the target of phlorizin, are
present in endothelial cells (6, 7, 22, 23, 28, 29). Consistent with
this hypothesis, Quinn et al. (34) observed that during a sharp
increase in plasma glucose produced by an intravenous glucose
injection, the time required for a subcutaneous glucose sensor to reach
its maximum current, corrected for sensor response time, depended on
the dose of injected glucose, the delay being longer for the higher
doses, suggesting the intervention of a saturable transport mechanism
in the transfer of glucose from the blood to the subcutaneous tissue.
Third, the analysis of the changes in IG estimated by the two-point
calibration and the data shown in Figs. 2B-6B
demonstrates that the rate of decrease in IG is dependent on the
experimental conditions. Thus, after a glucose load, IG2P
decreased before plasma glucose during the spontaneous return of plasma
glucose to basal value (Fig. 2, A and B). The
involvement of endogenous insulin in this phenomenon was tested during
a decrease in plasma glucose induced by phlorizin administration, which
decreases plasma glucose without the intervention of insulin. Here, the
decrease in IG2P was even delayed by a few minutes,
probably corresponding to the intrinsic response time of the sensor.
The decrease in plasma glucose also preceded that in IG2P
when the plasma glucose decrease was produced by an injection of exogenous insulin, either at the peak of a glucose load or in the basal
state. It is interesting that, in sharp contrast with the data observed
in nondiabetic animals, we have previously observed that, after insulin
administration in diabetic rats, it was the decrease in interstitial
glucose that occurred first. A first explanation for these discordant
results may involve differences in insulin effect on flux O: these
diabetic rats, investigated a few days after diabetes induction by
streptozotocin, may have been oversensitive to insulin. Although this
seems at first glance to contrast with the well-known insulin
resistance present in the diabetic state, we have observed such an
unexpected oversensitivity to insulin in diabetic mice a few days after
diabetes induction by repeated low doses of streptozotocin (10). It is
interesting that in a study published by Schmidtke et al. (38), after
insulin administration in rats, the decrease in plasma glucose preceded the decrease in interstitial glucose. Animals used in this later study
were, however, old, obese, hyperglycemic, and presumably insulin
resistant. But there is a second possible explanation: after insulin
administration, plasma glucose concentration decreased faster than
during the spontaneous decrease in IG2P and plasma glucose
observed in the glucose-glucose group (Table 1). Thus the fact that the
decrease in IG2P followed that in plasma glucose may also
be due to an increase in the intrinsic sensor response time. According
to Baker and Gough (4) the faster the rate of decrease in glucose
concentration, the longer the delay in the sensor intrinsic response to glucose.
Taken together, these results underline the fact that the kinetics of
interstitial glucose concentration strongly depends on the
physiological status of the animal. This may explain the difficulty of
describing unambiguously the relationship between blood and
interstitial glucose concentration, which has also been observed by
others (30, 38, 41). The present findings are consistent with previous
observations made by us and others in animals and in humans, using
either an implanted subcutaneous glucose sensor or a microdialysis- or
microperfusion-based system (15, 16, 37, 41, 46). This suggests that
they are not related to the method used in these studies but that they
describe the physiological relationship between interstitial glucose
concentration and glycemia. Their relevance is therefore not restricted
to this animal model (although extrapolation from studies performed in rats to human physiology requires caution because, for instance, rat
adipose tissue is more sensitive to insulin and because the interscapular area may contain high amounts of brown adipose tissue) or
to this particular glucose sensor, but should be considered for the
design of any continuous glucose monitoring system, invasive or
noninvasive, in which the sensing element is not directly implanted in
the vascular bed. It may also be argued that these observations are
based on measurement of plasma glucose concentration in venous blood
sampled at the tail vein, which may not be representative for body
glucose. Whether capillary blood glucose concentration, commonly used
by diabetic patients to follow their blood glucose level, may prove to
be more accurate as to the similarity with subcutaneous measurement
remains to be investigated.
Finally, the fact that this kind of system monitors interstitial, and
not blood, glucose concentration, will have to be kept in mind when it
is used in the management of diabetic patients. Data presented herein
may therefore have paradigmatic significance, leading to a novel
approach in the monitoring and interpretation of glucose fluctuations
observed in insulin-treated diabetic patients.
 |
ACKNOWLEDGEMENTS |
This work was supported in part by the Fondation Benjamin Delessert
(B. Aussedat), the Institut National de la Santé et de la
Recherche Médicale, the National Institute of Diabetes and Digestive and Kidney Diseases (DK-30718 and DK-55297), and Aide aux
Jeunes Diabétiques.
 |
FOOTNOTES |
The costs of publication of this
article were defrayed in part by the
payment of page charges. The article
must therefore be hereby marked
"advertisement"
in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Address for reprint requests and other correspondence: G. Reach, INSERM
U341, Diabetes Dept., Hôtel-Dieu Hospital, 1, Place du
Parvis Notre Dame, 75004 Paris, France (E-mail:
gerard.reach{at}htd.ap-hop-paris.fr).
Received 8 March 1999; accepted in final form 1 November 1999.
 |
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