Linear range of Na+ pump in sciatic nerve of frog

Effect of erythrocytes on the hepatic distribution kinetics of antipyrine

The role of erythrocyte on the hepatic distribution kinetics of antipyrine was investigated in the in situ isolated perfused rat liver. Perfusion experiments were conducted using Krebs-bicarbonate buffer delivered via the portal vein in a single pass mode at a total flow rate of 15 ml/min. A bolus dose of antipyrine was administered in the presence and absence of erythrocytes. Almost identical moment analysis results (without erythrocytes mean transit time, MTT: 23 s; volume of distribution, VH: 0.57 ml/g liver and with erythrocytes, MTT: 24 s; VH: 0.60 ml/g liver) and superimposable unimodal effluent curves were obtained in the presence and absence of erythrocytes indicates that distribution kinetics of antipyrine within the liver is not affected by erythrocytes.

The Role of the Sinusoidal Endothelium in Liver Function

Microvascular exchange in the liver is governed by fenestrations in sinusoidal endothelial cells and can be manipulated pharmacologically. Microvascular exchange is affected in alcoholic liver disease and cirrhosis, the former leading to a loss of fenestrae, the latter to sinusoidal capillarization and thereby to loss of liver function in disease.

Effect of altered tissue binding on the disposition of barbital in the isolated perfused rat liver: application of the axial dispersion model

To examine the dependence of hepatic dispersion on tissue binding, the distribution kinetics of barbital under varying conditions of barbiturate perfusate concentrations was studied in the isolated perfused rat liver preparation (n = 5). The in situ liver was perfused in a single-pass mode with protein-free Krebs bicarbonate medium (15 mL/min). During steady-state infusion with various barbiturate concentrations (barbital, 1 g/L; butethal, 0.1, 1 g/L), a bolus containing [3H]water (cellular space marker) and [14C]barbital was injected into the portal vein. The recoveries of [3H]water and [14C]barbital were complete. The mean transit time and hence the volume of distribution for barbital in the absence of bulk barbiturate concentration (56 s and 1.24 mL/g) were about 2-fold higher than those for water (29 s and 0.58 mL/g), and they decreased progressively as the perfusate barbiturate concentration increased, indicating a decrease in tissue binding. However, the relative dispersion values (CV2H) of water (0.60) and barbital (0.66) were about the same magnitude and independent of the bulk concentration of barbiturate. The one-compartment dispersion model adequately described the data of barbital with a constant DN (dispersion number) value of 0.35. The results indicate that varying the tissue binding of barbital does not change the magnitude of DN; as such it offers a new experimental approach to examine the hepatic dispersion of solutes with a large distribution volume.

Tracer oxygen distribution is barrier-limited in the cerebral microcirculation

The kinetics of tracer oxygen distribution in the brain microcirculation of the awake dog were investigated with the multiple indicator dilution technique. A bolus containing 51Cr-labeled red blood cells, previously totally desaturated and then resaturated with [18O]2 (oxygen), 125I-albumin, 22Na, and [3H]water, was injected into the carotid artery, and serial anaerobic blood samples were collected from the sagittal sinus over the next 30 seconds. The outflow recovery curves were analyzed with a distributed-in-space two-barrier model for water and a one-barrier model for oxygen. The analysis provided an estimate of flow per gram brain weight as well as estimates for the tracer water and oxygen rate constants for blood-to-brain exchange and tracer oxygen parenchymal sequestration. Flow to tissue was found to vary between different animals, in concert with parallel changes in oxygen consumption. The 18O2 outflow curves showed an early peak, coincident with and more than half the magnitude of its vascular reference curve (labeled red blood cells), whereas the [3H]water curve increased abruptly to a low-in-magnitude curve at low flow values and to a small early peak at high flow values. Analysis indicates that the transfers of both 18O2 and [3H]water indicators from blood to brain are barrier-limited, with the former highly so because of the large red blood cell capacity for oxygen, and that the proportion of the tracer oxygen returning to the circulation from tissue is a small fraction of the total tracer emerging at the outflow.

Influence of albumin on the distribution and elimination kinetics of diclofenac in the isolated perfused rat liver: analysis by the impulse-response technique and the dispersion model

The impulse-response technique was used to investigate the influence of changes in the perfusate concentration of human serum albumin (HSA; 1.5-25 g/L) on the distribution and elimination kinetics of [14C]diclofenac in the isolated perfused rat liver. Output data were analyzed by a linear systems approach in combination with the axial dispersion model of hepatic elimination. This stochastic model is characterized by a dimensionless parameter (the dispersion number, DN) that quantifies the relative spreading of a substance as it passes through the liver. The two-compartment form of the axial dispersion model, which assumes that the radial transfer of a substance between the vascular and cellular spaces proceeds at a finite rate, was used to describe the output profiles for diclofenac, thereby providing estimates for DN and the first-order rate constants for the transfer of drug between the vascular and cellular compartments (k12 and k21) and its sequestration from the cellular compartment (kel). With a change in perfusate HSA concentration, the only one of these parameters to alter significantly (analysis of variance, p < 0.05) was the uptake rate constant (k12), which increased from 0.091 +/- 0.016 (mean +/- standard deviation) to 0.79 +/- 0.09 s-1 as HSA decreased from 25 to 1.5 g/L. Most of this change could be accounted for by an increase in the fraction of diclofenac unbound in perfusate, from 0.0030 to 0.0407 as HSA decreased from 25 to 1.5 g/L.(ABSTRACT TRUNCATED AT 250 WORDS)

Flow-limited tracer oxygen distribution in the isolated perfused rat liver: effects of temperature and hematocrit

We used the multiple-indicator dilution technique to examine the kinetics of tracer oxygen distribution and uptake in the rat liver perfused in a nonrecirculating fashion with blood. 51Cr-labeled 18O2-saturated erythrocytes, labeled albumin, sucrose and water (the tracers for oxygen and vascular, interstitial and cellular references) were injected simultaneously into the portal vein. Timed anaerobic samples were collected from the hepatic vein and analyzed by mass spectrometry for relative 18O2 enrichment and radioactivity. In a set of experiments performed at 32 degrees C, oxygen uptake was substantially diminished; tracer oxygen profiles approached those expected for a completely recovered, flow-limited substance. At 37 degrees C, much larger tracer oxygen sequestration occurred. Experiments were carried out at each temperature at higher and lower hematocrit, and oxygen consumption at each temperature was found to be independent of hematocrit. The tissue space of distribution for tracer oxygen relative to the total sinusoidal vascular content was influenced by the hematocrit: it was smaller at higher hematocrit and larger at lower hematocrit, as expected. The derived partition coefficient of oxygen for liver cells relative to plasma (expressed in terms of the liver and plasma water spaces) was, on average, 2.62 ml/ml; it was independent of the hematocrit. Analysis of the indicator dilution experiments indicates that the tracer oxygen is distributed into tissue in a flow-limited rather than a barrier-limited fashion, and that with this, an ongoing concomitant intracellular sequestration of tracer can be seen.

Uptake of a protein-bound polar compound, acetaminophen sulfate, by perfused rat liver

The hepatocytic entry of acetaminophen sulfate conjugate was examined in the rat liver, perfused with red cells with and without albumin, by use of the multiple-indicator dilution technique. [3H]acetaminophen sulfate was injected into the portal vein in a bolus of blood containing 51Cr-labeled red blood cells (a vascular reference), sucrose (a low-molecular-weight interstitial reference) or 125I-labeled albumin (a high-molecular-weight interstitial reference, included when albumin was present), and the time courses of their outflow into the hepatic venous blood were observed. The [3H]acetaminophen sulfate, which binds partially to albumin, emerged between albumin and sucrose in the presence of albumin, processed the upslope of the sucrose curve and showed a late low-in-magnitude tailing; the precession disappeared in the absence of albumin. Biliary excretion of [3H]acetaminophen sulfate was less than 1% of the dose. Quantitative evaluation with a barrier-limited, space-distributed variable transit time model (including rapidly equilibrating albumin binding) accounted for the albumin effect on [3H]acetaminophen sulfate behavior and demonstrated a low liver cell permeability for the acetaminophen sulfate and a small interstitial binding space for its nonalbumin-bound fraction in excess of that for sucrose, which in the absence of albumin was of similar dimensions.

Axial tissue diffusion can account for the disparity between current models of hepatic elimination for lipophilic drugs

An assumption of previous models of hepatic elimination is that there is negligible axial diffusion in the liver. We show, by construction of a stochastic model and analysis of published data, that compounds which are readily diffusible and partitioned into hepatocytes may undergo axial tissue diffusion. The compounds most likely to be affected by axial tissue diffusion are the lipophilic drugs for which the cell membranes provide little resistance and which are highly extracted, thereby creating steep concentration gradients along the sinusoid at steady state. This phenomenon greatly modifies the availability of the compound under conditions of altered hepatic blood flow and protein binding. For moderately diffusible compounds, these relationships are similar to those predicted by the simplistic venous-equilibrium model. Hence, the paradoxical ability of the venous-equilibrium model to describe the steady-state kinetics of lipophilic drugs such as lidocaine, meperidine, and propranolol may be finally resolved. The effects of axial tissue diffusion and vascular dispersion on hepatic availability of drugs are compared. Vascular dispersion is of major importance to the availability of poorly diffusible compounds, whereas axial tissue diffusion becomes increasingly dominant for highly diffusive and partitioned substances.

Availability predictions by hepatic elimination models for Michaelis-Menten kinetics

Numerical methods have been used to compare the availability predictions of a number of hepatic elimination models when Michaelis-Menten kinetics is operative. Propranolol and galactose were used as model compounds. Lower availabilities were predicted by the dispersion model than by a segregated distribution model for both compounds. The differences in the predictions were most pronounced for models corresponding to a large variation in solute residence times in the liver. The predictions of the tank-in-series, dispersion model with mixed boundary conditions and dispersion model with Dankwerts boundary conditions were similar over all concentrations studied. Changes in blood flow and protein binding provided little discrimination between the model predictions. It is concluded that micromixing of blood between sinusoids and the anatomical sites of mixing are important determinants of availability when liver eliminating enzymes are partially saturated.

Ionic diffusion in voltage-clamped isolated cardiac myocytes. Implications for Na,K-pump studies

The whole-cell voltage-clamp technique employing electrolyte-filled micro-pipette suction electrodes is widely used to investigate questions requiring an electrophysiological approach. With this technique, the ionic composition of the cytosol is assumed to be strongly influenced (as result of diffusion) by the ionic composition of the solution contained in the electrode. If this assumption is valid for isolated cardiac myocytes, the technique would be particularly powerful for studying the dependence of their Na,K-pump on the intracellular [Na+]. However, the relationship between the concentrations of ions in the solution filling the electrode and those in the cytosol has not been established. The relationship was investigated to determine in particular whether the [Na+] at the intracellular cation ligand binding sites for the Na-pump ([ Na+]ps) can be set and clamped by [Na+] in the pipette electrode ([ Na+]pip). If [Na+]pip can set and clamp [Na+]ps, this would provide a means for defining the dependence of the Na,K-pump on intracellular [Na+]. The relationship between [Na+]pip and [Na+]ps was analyzed using two approaches. First, a mathematical model of three-dimensional ionic diffusion within a whole-cell patch-clamped myocyte was developed and the effects of experimental parameters on mean [Na+]ps were investigated. When typical experimental values were simulated, the time course to achieve steady state mean [Na+]ps was found to be most sensitive to variations in electrode pore size, cell length and the Na+ pumping rate, but at steady state, mean [Na+]ps varies from [Na+]pip by 5% or less depending on pump rate. Second, to provide experimental support for the validity of the simulations, isolated ventricular myocytes were voltage-clamped and the reversal potential for the Na current was determined in order to estimate steady state intracellular [Na+]. The results of the mathematical and experimental analyses suggest that steady state [Na+]ps can be regulated by the [Na+] in suction pipette electrodes. These findings, while also having a broader significance, indicate for isolated cardiac myocytes that whole-cell suction micro-electrodes can provide a means to assess the dependence of the Na,K-pump on [Na+]ps.

The multiple-indicator dilution technique for characterization of normal and retrograde flow in once-through rat liver perfusions

The technique of normal and retrograde rat liver perfusion has been widely used to probe zonal differences in drug-metabolizing activities. The validity of this approach mandates the same tissue spaces being accessed by substrates during both normal and retrograde perfusions. Using the multiple-indicator dilution technique, we presently examine the extent to which retrograde perfusion alters the spaces accessible to noneliminated references. A bolus dose of 51Cr-labeled red blood cells, 125I-albumin, 14C-sucrose and 3H2O was injected into the portal (normal) or hepatic (retrograde) vein of rat livers perfused at 10 ml per min per liver. The outflow perfusate was serially collected over 220 sec to characterize the transit times and the distribution spaces of the labels. During retrograde perfusion, red blood cells, albumin and sucrose profiles peaked later and lower than during normal perfusion, whereas the water curves were similar. The transit times of red blood cells, albumin and sucrose were longer (p less than 0.005), whereas those for water did not change. Consequently, retrograde flow resulted in significantly larger sinusoidal blood volumes (45%), albumin Disse space (42%) and sucrose Disse space (25%) than during normal flow, whereas the distribution spaces for total and intracellular water remained unaltered. The distension of the vascular tree was confirmed by electron microscopy, by which occasional isolated foci of widened intercellular recesses and spaces of Disse were observed. Cellular ultrastructure was otherwise unchanged, and there was no difference found between normal and retrograde perfusion for bile flow rates, AST release, perfusion pressure, oxygen consumption and metabolic removal of ethanol, a substrate with flow-limited distribution, which equilibrates rapidly with cell water (hepatic extraction ratios were virtually identical: normal vs. retrograde, 0.50 vs. 0.48 at 6 to 7.4 mM input concentration). These findings suggest that the functional and metabolic capacities of the liver remain unperturbed during retrograde perfusion, rendering the technique suitable for the investigation of zonal differences in drug-metabolizing enzymes.

Effects of perfusate flow rate on measured blood volume, disse space, intracellular water space, and drug extraction in the perfused rat liver preparation: characterization by the multiple indicator dilution technique

The effect of hepatic blood flow on the elimination of several highly cleared substrates was studied in the once-through perfused rat liver preparation. A constant and low input concentration of ethanol (2.0 mM), [14C]-phenacetin and [3H]-acetaminophen (0.36 and 0.14 microM, respectively), or meperidine (8.1 microM) was delivered once-through the rat liver preparation in five flow periods (greater than 35 min each); control flow periods at 12 ml/min were interrupted by flow changes to 8 or 16 ml/min. The steady-state hepatic availabilities (F or outflow survivals) at 12 ml/min were ethanol, 0.075 +/- 0.038; [14C]-phenacetin, 0.15 +/- 0.059; [3H]-acetaminophen, 0.34 +/- 0.051; meperidine, 0.047 +/- 0.017. Flow-induced changes were different among the compounds: with reduced flow (8 ml/min), F was decreased for ethanol (0.061 +/- 0.032) and [3H]-acetaminophen (0.28 +/- 0.051), as expected, but was increased for [14C]-phenacetin (0.20 +/- 0.068) and meperidine (0.05 +/- 0.03); with an elevation of flow (to 16 ml/min), F was increased for all compounds, as expected of shorter sojourn times: ethanol, 0.13 +/- 0.065; [14C]-phenacetin, 0.22 +/- 0.062; [3H]-acetaminophen, 0.43 +/- 0.063; meperidine, 0.055 +/- 0.022. A marked increase in F for ethanol had occurred when flow changed from 12 to 16 ml/min due to nonlinear metabolism; the latter was confirmed by a reduction in the extraction ratios at increasing concentrations (1.8 to 11.4 mM); this condition was not present for the other compounds. In order to explain the observations, we used the multiple indicator dilution technique to investigate the flow-induced behaviors of tissue distribution spaces of vascular and intracellular references in the perfused rat liver preparation.

Effect of plasma protein binding on elimination of taurocholate by isolated perfused rat liver: comparison of venous equilibrium, undistributed and distributed sinusoidal, and dispersion models

In the past, various models have been developed to allow better characterization of the hepatic elimination of substrates from plasma. In this study we investigated the applicability of the venous equilibrium, undistributed sinusoidal, several distributed sinusoidal, and dispersion models to the steady state elimination of sodium taurocholate by the isolated perfused rat liver. Rat livers were perfused with 24-14C-taurocholate (sodium salt) at a concentration of 25 microM (specific activity 500 microCi/mmole) in a single-pass design (n = 7) or at a rate of 0.5 mumol/min (specific activity 40 microCi/mmole) into the portal vein in a recirculating design (n = 5). In single-pass experiments, the changes in hepatic venous outflow concentration (C0) with changes in unbound fraction of taurocholate (fu) from 0.09 to 1.0 were fitted better by the venous equilibrium model, by the dispersion model, and by a distributed model in which heterogeneity in both hepatic blood flow (Q) and intrinsic clearance (CLint) was defined by separate density functions. The very large value of dispersion number (DN greater than 10(7] yielded by the dispersion model is consistent with a high degree of axial mixing of blood within sinusoids. The large coefficients of variation (0.7-232) for the density functions describing the transverse heterogeneity of Q and CLint obtained with the Q/CLint-distributed model were consistent with a large degree of heterogeneity in Q and CLint within the liver. In recirculation experiments, the steady state unbound concentration of taurocholate in the reservoir (Cuss) was independent of fu (range 0.05-0.9). This finding was not predicted by the undistributed sinusoidal model, but was in keeping with the venous equilibrium model, with the dispersion model, and with the Q/CLint-distributed model. Therefore, there is no need to invoke cell surface-mediated dissociation of albumin-ligand complexes in hepatic taurocholate uptake. As the dispersion and Q/CLint-distributed models are conceptually plausible and operationally accurate, it may be time to relinquish the venous equilibrium model, which, though operationally accurate, is conceptually flawed.

Na,K pump stimulation by intracellular Na in isolated, intact sheep cardiac Purkinje fibers

Regulation of the Na,K pump in intact cells is strongly associated with the level of intracellular Na+. Experiments were carried out on intact, isolated sheep Purkinje strands at 37 degrees C. Membrane potential (Vm) was measured by an open-tipped glass electrode and intracellular Na+ activity (aNai) was calculated from the voltage difference between an Na+-selective microelectrode (ETH 227) and Vm. In some experiments, intracellular potassium (aiK) or chloride (aCli) was measured by a third separate microelectrode. Strands were loaded by Na,K pump inhibition produced by K+ removal and by increasing Na+ leak by removing Mg++ and lowering free Ca++ to 10(-8) M. Equilibrium with outside levels of Na+ was reached within 30-60 min. During sequential addition of 6 mM Mg++ and reduction of Na+ to 2.4 mM, the cells maintained a stable aNai ranging between 25 and 90 mM and Vm was -30.8 +/- 2.2 mV. The Na,K pump was reactivated with 30 mM Rb+ or K+. Vm increased over 50-60 s to -77.4 +/- 5.9 mV with Rb+ activation and to -66.0 +/- 7.7 mV with K+ activation. aiNa decreased in both cases to 0.5 +/- 0.2 mM in 5-15 min. The maximum rate of aiNa decline (maximum delta aNai/delta t) was the same with K+ and Rb+ at concentrations greater than 20 mM. The response was abolished by 10(-5) M acetylstrophantidin. Maximum delta aNai/delta t was independent of outside Na+, while aKi was negatively correlated with aNai (aKi = 88.4 - 0.86.aNai). aCli decreased by at most 3 mM during reactivation, which indicates that volume changes did not seriously affect aNai. This model provided a functional isolation of the Na,K pump, so that the relation between the pump rate (delta aNai/delta t) and aiNa could be examined. A Hill plot allowed calculation of Vmax ranging from 5.5 to 27 mM/min, which on average is equal to 25 pmol.cm-2.s-1.K 0.5 was 10.5 +/- 0.6 mM (the aNai that gives delta aNai/delta t = Vmax/2) and n equaled 1.94 +/- 0.13 (the Hill coefficient). These values were not different with K+ or Rb+ as an external activator. The number of ouabain-binding sites equaled 400 pmol.g-1, giving a maximum Na+ turnover of 300 s-1. The Na,K pump in intact Purkinje strands exhibited typical sigmoidal saturation kinetics with regard to aNai as described by the equation upsilon/Vmax = aNai(1.94)/(95.2 + aNai(1.94)). The maximum sensitivity of the Na,K pump to aiNa occurred at approximately 6 mM.

On the effect of unstirred layers on K+-activated electrogenic Na+ pumping in cardiac Purkinje strands

Many studies of electrogenic Na+ pumping in Purkinje strands have involved intracellular Na+ loading by exposure to 0 mM K+, followed by reexposure to K+. For sheep Purkinje strands the K+ concentration for half-maximal stimulation (K0.5) in such studies is higher than K0.5 of canine Purkinje strands. A model was developed to determine if gradients in the K+ concentration of extracellular fluid layers during enhanced pump activity can account for the discrepancy. Pump activity was assumed linearly dependent on [Na+]i and dependent on [K+]o, according to Michaelis-Menten kinetics. The model simulated diffusion of K+ across unstirred layers and both depletion and accumulation of K+ in extracellular clefts of Purkinje strands during changes in the K+ concentration of the tissue bath. Errors in estimates of K0.5 occurred when delay in achieving a steady state extracellular K+ concentration was simulated. The simulations suggested that a linear relationship between pump current and intracellular Na+, a monoexponential decay of pump current, independence of the rate constants for the current decay on the initial Na+ load and holding potential, and apparent Michaelis-Menten K+ kinetics is not sufficient evidence against pump-induced interstitial K+ depletion having introduced errors in determination of K0.5. It is concluded that interstitial K+ depletion may account for the difference between determinations of K0.5 in sheep and canine Purkinje strands.

A dispersion model of hepatic elimination: 1. Formulation of the model and bolus considerations

A dispersion model of hepatic elimination, based on the residence time distribution of blood elements within the liver, is presented. The general rate equations appropriate for describing the hepatic output concentration of a tracer solute are derived. Particular consideration is given to events following a bolus input dose of a tracer. The model is shown to be compatible with the known hepatic architecture and hepatic physiology. The model has been fitted to hepatic outflow data for red blood cells, albumin, and other noneliminated solutes. The experimental data suggest a high degree of dispersion of blood elements within the liver. The model has also been used to evaluate the effects of changes in enzyme activity, hepatic cell permeability, blood flow, and protein binding on the outflow concentration vs. time profiles of solutes.

Kinetic characterization of two classes of dog liver alcohol dehydrogenase isoenzymes

In order to relate the catalytic properties of alcohol dehydrogenase (ADH), the rate-limiting enzyme for alcohol metabolism, with the pharmacokinetics of ethanol elimination in vivo, the multiple molecular forms of dog liver ADH were purified and their steady state kinetics investigated. Two different classes of ADH forms were identified by starch gel electrophoresis: the class I isoenzymes migrate to the cathode and the class II forms migrate to the anode. Three different patterns of the cathodic class I isoenzymes were identified in different liver specimens. Three molecular forms were observed for patterns A and C, and five for B. The two classes of isoenzymes were separated by affinity chromatography and purified by column chromatography. The three predominant class I isoenzymes, A1, B2, and C1, in type A, B, and C livers, respectively, were isolated by high performance cation-exchange chromatography. The steady state kinetic constants of the A1, B2, and C1 isoenzymes are similar, but differ substantially from those of the class II enzyme. The class II enzyme is much less sensitive to pyrazole inhibition, Ki = 2 mM, than the class I forms, Ki = 0.6 microM. Methanol is not a substrate for the class II enzyme, whereas it is oxidized by the class I isoenzymes. The class I isoenzymes exhibit a lower Km and substrate inhibition Ki for ethanol, 0.4 and 160 mM, respectively, than values for the class II enzyme, 10 and 610 mM, respectively. The properties of class I and II dog liver ADH are similar to those of the respective isoenzymes purified from human and monkey liver.(ABSTRACT TRUNCATED AT 250 WORDS)