Clinical Science (1993) 84, 681-685 (Printed in Great Britain) 681 Estimation of the hepatic extraction ratio of lndocyanine Green in swine David F. KISOR', Reginald F. FRYE' and Kenneth A. KUDSKl 'Department of Pharmacy and Therapeutics, School of Pharmacy, University of Pittsburgh, Pittsburgh, Pennsylvania, U.S.A., and 2Department of Surgery, College of Medicine, University of Tennessee, Memphis. Tennessee, U.S.A. (Received 16 November 1992/9 February 199); accepted 19 February 1993) 1. The hepatic extraction ratio of Indocyanine Green was measured directly by trans-hepatic catheterization in 14 outbred swine (eight well-fed, six malnourished). A specific two-compartment pharmacokinetic model was fitted to the arterial Indocyanine Green concentration-time data and used to estimate the hepatic extraction ratio of Indocyanine Green. 2. The specific two-compartment pharmacokinetic model was modified to represent more accurately the physiological process of Indocyanine Green removal. Simulations were performed using this new model to estimate the hepatic extraction ratio of Indocyanine Green in the swine. 3. Similarly to previous findings, our data showed that the original model consistently overestimated the hepatic extraction ratio of Indocyanine Green (i.e. the model estimate was compared with the true, directly measured value). 4. The comparison of the modified model and the original model clearly indicates the reason for the overprediction of the hepatic extraction ratio of Indocyanine Green by the latter. The simulations using the new model indicate that the percentage of binding of Indocyanine Green to its transport protein (glutathione Stransferase) for removal in the bile will affect the estimation of the hepatic extraction ratio of Indocyanine Green. Thus, the amount of Indocyanine Green available for removal is less than that assumed by the original model. blood flow (QH) [6-91. This relationship has led to a minimally invasive method for estimating Q H [lo, 113, where the blood clearance of ICG is taken as an estimate of 'effective' hepatic blood flow (i.e. it is assumed that the extraction ratio of ICG approaches unity). The EH of ICG is lower in patients with cirrhosis [12] and in some animal species (swine [13, 141, cats [15]). In these cases, the clearance of ICG is more dependent on overall hepatic function (biliary excretion) rather than QH. The direct measurement of the EH of ICG requires the placement of an hepatic venous catheter. This is not practical in healthy, normal subjects or most patient investigations and may result in the death of laboratory animals (after removal of the catheter). An indirect method for estimating the EH of ICG without hepatic venous catheterization was reported by Grainger et al. [16]. This approach is based on a specific two-compartment pharmacokinetic model [17] describing the disposition of ICG after an intravenous bolus dose. The present report describes the comparison of the direct determination of the EH-of ICG with the indirect method. A modification of the model presented by Grainger et al. [16] is described. Simulations using the amended model are presented to indicate the influence of transport protein (GST) binding on the estimation of the E H of ICG. MATERIALS A N D METHODS INTROD UCTlO N Indocyanine Green (ICG) is an anionic dye frequently used to estimate hepatic function and hepatic blood flow in animals and man [l-31. The dye is highly bound to albumin and a-lipoproteins [4] and is eliminated unchanged in the bile via transport by glutathione S-transferase (GST) [S]. The hepatic extraction ratio (EH) of ICG in healthy normal man is about 0.62-0.88, indicating that its clearance is primarily dependent on hepatic Animals All experiments were approved by the Ohio State University Laboratory Animal Review Committee. Fourteen outbred swine (nine male, five female) weighing 19-28 kg were studied. These animals were being studied in a protocol designed to examine the effect of nutritional status on organic anion clearance [14]. On each study day the animal was anaesthetized with ketamine and pentobarbital, intubated and ventilated. Each animal had the Key words: extraction ratio, lndocyanine Green, model. Abbreviations: E,, hepatic extraction ratio; E,, model-estimated hepatic extraction ratio; EN, modified-model-simulated hepatic extraction ratio; GST, glutathione Stransferase; ICG, lndocyanine Green: QH. hepatic blood flow. Correspondence: Dr David F. Kisor, Department of Pharmacy and Therapeutics, School of Pharmacy, University of Pittsburgh, 904 Salk Hall, Pittsburgh, PA 15261. U.S.A. D. F. Kisot et al. 682 following catheters placed: a Swan-Ganz catheter was inserted through a right femoral cut-down into a pulmonary artery for cardiac output determinations; another catheter was placed into the contralateral femoral artery to allow arterial sampling; under fluoroscopy, a catheter was placed (5-7 cm) into a major right hepatic vein. Throughout each study fluoroscopy was used to confirm the placement of the hepatic vein catheter. Twenty millilitres of blood were collected for preparation of standard curves. Each animal received a rapid (10-20 s) intravenous bolus of ICG (5mg/kg). From each catheter, blood samples were obtained at 5, 10, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165 and 180min after the administration of the ICG. Blood samples were transferred to heparin-containing Venoject tubes and immediately centrifuged. Plasma was separated and stored at -20°C until analysed (within 72 h). I k= Fig. 1. Open two-compartment model fit to arterial plasma ICG concentration-time data Analytical procedure A modification of the h.p.1.c. analytical procedure of Rappaport and Theissen [18] was used and was described previously [141. The intra-day and interday coefficients of variation were both 5.6%. Fig. 2. Modified open two-compartment model (schematic) used for simulations The model estimate of the EH of ICG (EM)was calculated in the following manner [16]: Data analysis Plasma ICG concentration versus time data for each animal were analysed by log-linear regression for estimation of the terminal slope and elimination rate constant (KJ. The terminal slope was used to extrapolate for total area under the plasma ICG Concentration versus time curve from the last measured time point to infinity. The areas under the arterial and hepatic vein ICG concentration versus time curves were calculated using the linear trapezoidal rule. The EH at steady-state was calculated in the manner described by Shand et al. [19]; the hepatic extraction ratio (EH) is calculated as (AUC,,,-AUC,,)/AUC,,,, where AUC,,, is the area under the arterial plasma ICG concentration versus time curve and AUCh, is the area under the hepatic vein plasma ICG concentration versus time curve. The method of residuals [20] was used to obtain estimates of the disposition rate constants (aand jl), and the corresponding zero-time intercepts ( A and B) from the arterial plasma ICG concentration-time curve. The two-compartment open model described by Rowland et al. [I71 (Fig. 1) with elimination from the second compartment was fitted to the arterial data using PCNONLIN [21]. The PCNONLIN program was written to generate estimates of the ‘micro’ rate constants k , , , kzo and k z l as follows: + + k 1 2= ( d jlB)/(A B) (1) where EM is the model-estimated EH of ICG, and X , is the amount of ICG in V, (Fig. 1). A modification was made to the model in that X , , the amount of ICG in the liver, can be described as the amount available for efflux ( X , ) plus the amount available for removal ( X r ) . Thus, X , = X , + X , . The modified model was used in simulations in the following manner: where EN is the modified-model-simulated EH of ICG, and X , , X , , K , , and kzo are described as above. The values for X , and X , were altered from 0 to 1 in inverse proportion as to simulate changes in the availability of ICG for emux or removal. The modified model is presented in Fig. 2. Statistical analysis The degree of association between the predicted (model estimates, EM and EN) and the true (directly measured) EH of ICG was examined by calculating the correlation coefficients. RESULTS The arterial plasma ICG concentration versus time data fell in a biexponential fashion re- Extraction ratio of lndocyanine Green 683 Table 1. Direct and modelderived hepatic extraction ratios of ICG in swine. Abbreviation: NM. not mwurable. 70 Animal no. Em EH (measured) (model) ~ 10 - A A A A A A A A A & Time (min) Fig. 3. Mean arterial plasma ICG concentration-time curve for all of the animals .-0 I 2 3 4 5 6 7 8 9 10 II I2 13 14 0.3 I2 0.267 0.272 0.221 0. I32 0.192 0.266 0.210 NM* 0.039 NM 0.07 I 0.121 0.099 0.086 0. I27 0.022 0.254 NM NM 0. I82 Mean SD 0.094 0.026 0.25 I 0.306 0.279 0.307 0.314 0.087t 0.049 0.256$ 0.052 t n = 10. Sn= I 14. Directly measured extraction ratio (EH) Fig. 4. Correlation between original ( 0 )and new ( 0 )model estimates of the hepatic extraction ratio of ICG and the ‘true’ directly measured value, EH. -=unity. presentative of a two-compartment model (Fig. 3). There was a poor correlation between the directly measured EH of ICG and the model-derived EM of ICG in the ten animals where both values were available (0.087f0.049 versus 0.256f0.052; r =0.2). The mean value of the EH as compared with the EN for the ten animals was 0.087 0.049 versus 0.080+0.019 when X,:Xe=0.2:0.8. The r value improved slightly (0.31) and the points were closer to the line of unity (Fig. 4). The directly measured EH of ICG was less than 0.2 in all the animals. The original model consistently overpredicted the true extraction ratio (Table 1). In the simulation study alterations of X, indicated that in all situations where X, is less than SO%, the EN is less than that estimated by the model of Grainger et al. [I61 (Table 2). In the case where X,=0.5 and Xe=0.5, the modified model reduces to the model of Grainger et al. [16] (EN=E,=0.256) C161. DISCUSSION The pharmacokinetics of ICG appeared linear in all animals at the dose of 5mg/kg. Linearity at this dose has been reported in other species [22]. We observed linearity at doses of 0.2, 1.0 and 5.0mg/kg. However, non-linearity was observed at a dose of 23 mg/kg (Scott et al., unpublished work). The use of the 5mg/kg dose with the h.p.1.c. assay allowed Table 2. Simulated extraction ratios (EN) of ICG Animal no. km kx EN X, ... 0.100 X, ... 0.900 I 2 3 4 5 6 7 8 9 10 II I2 13 14 0.02063 0.0 I074 0.00192 0.00721 0.0 I9 I3 0.00492 0.00709 0.00479 0.0044 I 0.02095 0.04183 0.01353 0.01778 0.02035 0.04551 0.02947 0.00514 0.02544 0.12553 0.02069 0.01955 0.01800 0.01293 0.06256 0.09502 0.03502 0.04007 0.04455 0.200 0.800 0.300 0.700 0.400 0.500 0.600 0.500 0.048 0.102 0.163 0.039 0.040 0.031 0.017 0.026 0.039 0.029 0.036 0.036 0.047 0.041 0.047 0.084 0.135 0.312 0.267 0.272 0.221 0.132 0.192 0.266 0.210 0.254 0.251 0.306 0.279 0.307 0.314 0.256 0.052 0.048 Mean 0.037 SD 0.009 0.100 0.103 0.160 0.164 0.232 0.196 0.199 0.159 0.092 0.137 0.195 0.151 0.185 0.182 0.227 0.205 0.228 0.233 0.080 0.019 0.129 0.030 0.187 0.041 0.085 0.066 0.037 0.056 0.083 0.062 0.079 0.077 0.099 0.088 0.138 0.108 0.061 0.092 0.135 0.102 0.127 0.125 0.159 0.142 the characterization of the biexponential decline in plasma ICG concentration. The biexponential decline in plasma ICG concentration suggests that a two-compartment model may best be fitted to the data. Of the three possible two-compartment open models, the model with elimination from the second compartment was chosen. This model best describes the disposition of ICG which includes hepatic uptake (from V, to V,) and biliary excretion (elimination from V,) (Fig. 1). This model was used to estimate the EH of ICG as offered by Grainger et al. [16j. The measured EH of ICG was low in all animals 684 D. F. Kisor et al. (range: not measurable to 0.18). In some cases the EH was not measurable because there was no observed difference between AUC,,, and AUC,,,. This suggested that in these animals the extraction ratio of ICG was very low. However, the measurement of the EH in these animals was obscured by acceptable analytical variability. The low EH of ICG in the swine indicates the dependence of ICG clearance on hepatic function rather than hepatic blood flow ( Q H ) . Hepatic blood flow was not calculated because of the very low measured EH. Small differences (e.g. acceptable assay variability) in the measurement of EH would result in large calculated changes in QH. The indirect method of estimating EH consistently overpredicted the true value. Questions of intrahepatic shunting and model mis-specification (i.e. two-compartment versus three-compartment) have been cited as possible reasons for the failure of the model [22, 231. For instance, Burns et al. [24] found that the disposition of ICG was best described by a triexponential model. With respect to the use of the specific two-compartment model to estimate the EH of ICG, the following is presented: the amount of dye in V, 'seen' for emux may not be the same as the amount 'seen' for elimination. Specifically, the amount of ICG ( X , ) in V2 is the sum of the amount available for efflux ( X , ) and the amount available for elimination ( X , ) . The relationship for the determination of EH [elimination rate/(efflux +elimination rate)] would be written as X , k 2 0 / ( X , k 2 ,+X,k,,), and it is clear that the estimated EH would be less than that using the relationship (eqn. 4) as described by Grainger et al. [16]. The difference between X 2 and X , explains the overprediction of the EH. Only in the case where X,=X, can the expression E= X 2 k 2 0 / ( X 2 kI2+ X,k,,) be reduced to k 2 , / ( k 2 , + k20). Physiologically, the active process of organic anion uptake into the hepatocyte, binding to the cytosolic transport protein (ligandin; GST) and biliary excretion would result in elimination. Drug not bound in the cytosol would not be removed and would be available for efflux 1243. While it is possible that 50% of ICG is bound to cytosolic GST, it is unlikely that this relationship would hold under conditions of physiological stress. Our simulations suggest that 21-220/, of ICG is bound to GST and available for removal, which results in an EN of approximately 0.087 (i.e. the same value as determined directly). It has been shown that increases or decreases in GST correlate with the disappearance rates of bilirubin and bromosulphophthalein [25-271. Our simulations would predict a similar relationship for ICG. Our data agree with earlier reports [22, 231 showing the inadequacies of the indirect method with consistent overprediction of EH and do not support the use of the model. Our simulations serve only to offer, in theory, a reason for the consistent overestimation of the EH of ICG by the original model. As X, and X , cannot be measured in our modification of the original two-compartment model, further work is needed to define more clearly the appropriate model for the determination of the EH of ICG without hepatic venous catheterization. ACKNOWLEDGMENTS We are grateful for the input of Dr Ronald A. 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