Regional measurements of [14C]misonidazole distribution and blood flow in subcutaneous RT-9 experimental tumors.

Regional [14C]misonidazole-derived radioactivity (MISO*) was measured by quantitative autoradiography in s.c. RT-9 experimental tumors 0.5, 2, and 4 h after an i.v. bolus (25 mg) and constant infusion (10 mg/h) in rats. Misonidazole (MISO) concentration in plasma, tumor, and other tissues was also measured by high-pressure liquid chromatography. The distribution of MISO* in the tumors always resulted in a characteristic pattern with high peripheral and low central values. The high-activity regions in the tumor rim achieved tissue: plasma MISO* activity ratios of 0.97 and 2.2 by 0.5 and 4 h, respectively; for central tumor regions, this ratio was 0.20 and 0.32 for the same periods, respectively. The limited distribution of MISO* to central tumor regions could be correlated to low values of blood flow (measured with [131I]iodoantipyrine) and to diffusion from peripheral tumor regions. Low blood flow in the central regions of these tumors will significantly limit the distribution of MISO and other drugs to viable-appearing cells in these areas and could account in part for the failures of chemotherapy in certain solid tumors. Pharmacokinetic modeling indicates that 1 to 9 h may be necessary for MISO concentrations in some tumor regions to reach 50% of that in plasma.

Regional localization of a glioma-associated antigen defined by monoclonal antibody 81C6 in vivo: kinetics and implications for diagnosis and therapy.

The pharmacokinetics and regional tissue distribution of two IgG2b immunoglobulins were studied in athymic mice with D54MG human glioma xenografts. Monoclonal antibody (Mab) 81C6, an antiglioma antibody, had a plasma half-life of 2.7 +/- 0.3 (SE) days; 45.6, a control immunoglobulin, had a plasma half-life of 3.3 +/- 0.4 days. The immunoreactive fraction of 81C6 in plasma fell slowly from 0.37 to 0.23 over 9 days. The blood-to-tissue transfer constant (K1) of Mab was 0.11 +/- 0.05 ml/g/h in brain xenografts and 0.07 +/- 0.02 ml/g/h in s.c. xenografts. In contrast, K1 in muscle (0.005 +/- 0.002) and brain (0.0004 +/- 0.0001 ml/g/h) was much lower. The equilibration half-time of Mab in extracellular space was 1.1 +/- 0.2 h in the brain xenografts, 3.6 +/- 1.4 h in s.c. xenografts, and 8.1 and 24 h in muscle and brain, respectively. Distribution and binding of 81C6 was heterogeneous in the xenografts. A binding potential of 5-14 was found centrally and a binding potential of 0.8-1.0 was found peripherally in the brain xenografts. In the s.c. xenografts, the binding potential was higher peripherally than centrally. The exposure of D54MG xenograft tissue to Mab 81C6 was not significantly limited by the permeability of the blood vessels or blood flow due to the long plasma half-life of the immunoglobulin. A comparison of Mab and alpha-aminoisobutyric acid influx constants suggests that Mab entry into intracerebral xenografts occurs through large pores without significant sieving or steric restriction. Under such conditions the differences in influx constants between immunoglobulin and smaller immunoglobulin fragments will be proportional to the differences in their aqueous diffusion constants.

Compartments of protein metabolism in the developing brain.

We investigated whether the higher rate of amino acid incorporation into immature than into mature brain protein is due to (a) rapid growth, (b) a small rapidly metabolized protein pool, or (c) a higher turnover rate of most of the protein. We measured net growth and the incorporation of [14C]tyrosine or [14C]valine into brain proteins in young rats and mice. The specific activity of the free amino acid pool was kept constant in the tyrosine experiments. Incorporation of tyrosine into protein was continued for up to 30 h by which time the specific activity of protein-bound amino acid reached 1/3 of that of the free (precursor) amino acid. The growth (accretion) of brain proteins was approx. 0.635% per h in mice and rats in the 1-4 day period after birth. In previous studies we found that the turnover rate of the bulk (about 96%) of adult brain proteins is below 0.3% per h. Because of the presence of a small (about 4%) active pool the average turnover rate is 0.6% per h. The present experiments show a degradation rate of 0.7-1.1% per h in the brain proteins of the young. This high metabolic rate is not due to a small rapidly degraded fraction of protein. The very rapid protein fraction previously seen in adult rats is either very small (below 1%) or absent in the young. Thus most of the proteins in the immature brain during the rapid growth phase are formed and broken down at a rate that is approximately three times higher than that of the bulk of proteins in the adult brain. The small active protein pool in the adult on the other hand has a metabolic rate higher than that of the immature brain proteins.

Theoretical analysis of net tracer flux due to volume circulation in a membrane with pores of different sizes. Relation to solute drag model.

When osmotic pressure across an artificial membrane, produced by a permeable electrically neutral solute on one side of it, is balanced by an external pressure difference so that there is no net volume flow across the membrane, it has been found that there will be a net flux of a second electrically neutral tracer solute, present at equal concentrations on either side of the membrane, in the direction that the "osmotic" solute diffuses. This has been ascribed to solute-solute interaction or drag between the tracer and the osmotic solutes. An alternative model, presented here, considers the membrane to have pores of different sizes. Under general assumptions, this "heteroporous" model will account for both the direction of net tracer flux and the observed linear dependence of unidirectional tracer fluxes on the concentration of the osmotic solute. The expressions for the fluxes of solutes and solvent are mathematically identical under the two models. An inequality is derived which must be valid if the solute interaction model and/or the heteroporous model can account for the data. If the inequality does not hold, then the heteroporous model alone cannot explain the data. It was found that the inequality holds for most published observations except when dextran is the osmotic solute.

A component of fluid absorption linked to passive ion flows in the superficial pars recta.

We studied salt and water absorption in isolated rabbit superficial proximal straight tubules perfused and bathed with solutions providing oppositely directed transepithelial anion gradients similar to those which might obtain in vivo. The perfusing solution contained 138.6 mM Cl- 3.8 mM HCO-3 (pH 6.6) while the bathing solution contained 113.6 mM Cl- and 25 mM HCO-3 (pH 7.4); the system was bubbled with 95% O2-5% CO2. At 37 degrees C, net volume absorption (Jv nl min-1 mm-1) was 0.32 +/- 0.03 (SEM); Ve, the transepithelial voltage (millivolts; lumen to bath), was +3.1 +/- 0.2. At 21 degrees C, Ve rose to +3.7 +/- 0.1 and Jv fell to 0.13 +/- 0.01 (significantly different from zero at P less than 0.001); in the presence of 10(-4)M ouabain at 37 degrees C, Ve rose to +3.8 +/- 0.1 and Jv fell to 0.16 +/- 0.01 (P less than 0.001 with respect to zero). In paired experiments, the ouabain- and temperature-insensitive moieties of Jv and Ve became zero when transepithelial anion concentration gradients were abolished. Titrametric determinations net chloride flux at 21 degrees C or at 37 degrees C with 10(-4) M ouabain showed that chloride was the sole anion in an isotonic absorbate. And, combined electrical and tracer flux data indicated that the tubular epithelium was approximately 18 times more permeable to Cl- than to HCO-3. We interpret these results to indicate that, in these tubules, NaCl absorption depends in part on transepithelial anion concentration gradients similar to those generated in vivo and in vitro by active Na+ absorption associated with absorption to anions other than chloride. A quantitative analysis of passive solute and solvent flows in lateral intercellular spaces indicated that fluid absorption occurred across junctional complexes when the osmolality of the lateral intercellular spaces was equal to or slightly less than that of the perfusing and bathing solutions; the driving force for volume flow under these conditions depended on the fact that sigmaHCO3 exceeded sigmaCl.

Osmosis in cortical collecting tubules. A theoretical and experimental analysis of the osmotic transient phenomenon.

This paper reports a theoretical analysis of osmotic transients and an experimental evaluation both of rapid time resolution of lumen to bath osmosis and of bidirectional steady-state osmosis in isolated rabbit cortical collecting tubules exposed to antidiuretic hormone (ADH). For the case of a membrane in series with unstirred layers, there may be considerable differences between initial and steady-state osmotic flows (i.e., the osmotic transient phenomenon), because the solute concentrations at the interfaces between membrane and unstirred layers may vary with time. A numerical solution of the equation of continuity provided a means for computing these time-dependent values, and, accordingly, the variation of osmotic flow with time for a given set of parameters including: P(f) (cm s(-1)), the osmotic water permeability coefficient, the bulk phase solute concentrations, the unstirred layer thickness on either side of the membrane, and the fractional areas available for volume flow in the unstirred layers. The analyses provide a quantitative frame of reference for evaluating osmotic transients observed in epithelia in series with asymmetrical unstirred layers and indicate that, for such epithelia, P(f) determinations from steady-state osmotic flows may result in gross underestimates of osmotic water permeability. In earlier studies, we suggested that the discrepancy between the ADH-dependent values of P(f) and P(DDw) (cm s(-1), diffusional water permeability coefficient) was the consequence of cellular constraints to diffusion. In the present experiments, no transients were detectable 20-30 s after initiating ADH-dependent lumen to bath osmosis; and steady-state ADH-dependent osmotic flows from bath to lumen and lumen to bath were linear and symmetrical. An evaluation of these data in terms of the analytical model indicates: First, cellular constraints to diffusion in cortical collecting tubules could be rationalized in terms of a 25-fold reduction in the area of the cell layer available for water transport, possibly due in part to transcellular shunting of osmotic flow; and second, such cellular constraints resulted in relatively small, approximately 15%, underestimates of P(f).

In vitro evidence that beta-amyloid peptide 1-40 diffuses across the blood-brain barrier and affects its permeability.

Beta amyloid peptides are major insoluble constituents of amyloid fibrils in senile plaques and cerebrovascular deposits, both characteristic of Alzheimer disease (AD). Low concentrations of soluble forms of amyloid peptides are also present in normal CSF. We previously demonstrated that the 40 amino acid form of soluble beta-amyloid peptide (sAbeta) is rapidly cleared from rat CSF into blood. Herein we hypothesized that a saturable, outwardly directed flux of this peptide occurs at the blood-brain barrier (BBB) and tested whether supraphysiological (possibly pathological) concentrations of sAbeta could alter the permeability of this barrier to a paracellular tracer, polyethylene glycol (PEG). Using an in vitro model of BBB, we showed that influx and efflux of sAbeta were equal, modest (60%-160% greater than that of PEG), and not saturable. These observations suggest that sAbeta moved across the monolayer by a diffusional process, and not via a transporter. PEG flux was doubled immediately after the luminal concentration of cold sAbeta was raised to 5 microM, and was doubled 150 min after the abluminal concentration of sAbeta was increased to 5 microM. Pathological elevations of sAbeta concentration in plasma or brain interstitial fluid may, therefore, alter the permeability of brain capillaries in vivo.

Cerebral glucose utilization and blood flow in adult spontaneously hypertensive rats.

Not only blood pressure but also behavioral activity, brain morphology, and cerebral ventricular size differ between young spontaneously hypertensive rats (SHR) and normotensive Wistar-Kyoto (WKY) rats. This suggests that cerebral blood flow and cerebral metabolism may vary between these two rat strains. To test this hypothesis, we measured local cerebral glucose utilization in 31 brain areas of 26-30-week-old rats. Local cerebral blood flow was also assessed in these same areas. Cerebral glucose utilization was measured by the 2-deoxyglucose method; cerebral blood flow was determined by the iodoantipyrene method. In virtually all gray matter structures, the apparent rate of glucose utilization was lower in SHR than in normotensive WKY rats; the interstrain differences varied significantly among structures and were statistically significant (uncorrected t tests) in 14 of 28 gray matter areas. Local cerebral blood flow was fairly similar in the two rat strains. The coupling of blood flow to glucose utilization varied significantly among brain areas in normotensive WKY rats as well as in SHR. In a number of gray matter structures, the coupling of flow to metabolism differed between hypertensive and normotensive animals. These data suggest that for many brain areas, either glucose utilization or glucose partitioning differs between WKY rats and SHR.

Derivation of equations for the steady-state reaction velocity of a substance based on the use of a second substance.

To study the transport and/or transformation of a particular molecular species, a second substance, which need not be chemically identical to that species, can be employed. Equations are derived for the steady-state velocity of the molecular species that use values found by use of the second substance.

Graphical evaluation of blood-to-brain transfer constants from multiple-time uptake data. Generalizations.

The method of graphical analysis for the evaluation of sequential data (e.g., tissue and blood concentrations over time) in which the test substance is irreversibly trapped in the system has been expanded. A simpler derivation of the original analysis is presented. General equations are derived that can be used to analyze tissue uptake data when the blood-plasma concentration of the test substance cannot be easily measured. In addition, general equations are derived for situations when trapping of the test substance is incomplete and for a combination of these two conditions. These derivations are independent of the actual configuration of the compartmental system being analyzed and show what information can be obtained for the period when the reversible compartments are in effective steady state with the blood. This approach is also shown to result in equations with at least one less nonlinear term than those derived from direct compartmental analysis. Specific applications of these equations are illustrated for a compartmental system with one reversible region (with or without reversible binding) and one irreversible region.

The influence of tissue heterogeneity on results of fitting nonlinear model equations to regional tracer uptake curves: with an application to compartmental models used in positron emission tomography.

An analytical method based on Taylor expansions was developed to analyze errors caused by tissue heterogeneity in dynamic positron emission tomography (PET) measurements. Some general rules concerning the effect of parameter variances and covariances were derived. The method was further applied to various compartmental models currently used for measurement of blood flow, capillary permeability, glucose metabolism, and tracer binding. Blood flow and capillary permeability are shown to be generally underestimated in heterogeneous tissue, the underestimation being more severe for slowly decaying, constant or increasing input functions rather than for bolus input, and increasing with measurement time. Typical errors caused by the heterogeneity due to insufficient separation between gray and white matter by a PET scanner with full width at half-maximum (FWHM) = 5 to 10 mm resolution range between -0.9 and -6% in dynamic CBF measurements with intravenous (i.v.) bolus injection of 15O-water or inhalation of 18F-fluoromethane and total measurement times of 6 or 10 min, respectively. Binding or metabolic rates determined with tracers that are essentially trapped in tissue (e.g., FDG for measurement of cerebral glucose metabolism) are only slightly overestimated (0.5-3.0%) at typical measurement times and are essentially independent of the shape of the input function. The error increase considerably if tracer accumulation is very slow, however, or if short measurement times [less than 5/(k2 + k3)] are used. Some rate constants are also subject to larger errors.

Graphical evaluation of blood-to-brain transfer constants from multiple-time uptake data.

A theoretical model of blood-brain exchange is developed and a procedure is derived that can be used for graphing multiple-time tissue uptake data and determining whether a unidirectional transfer process was dominant during part or all of the experimental period. If the graph indicates unidirectionality of uptake, then an influx constant (Ki) can be calculated. The model is general, assumes linear transfer kinetics, and consists of a blood-plasma compartment, a reversible tissue region with an arbitrary number of compartments, and one or more irreversible tissue regions. The solution of the equations for this model shows that a graph of the ratio of the total tissue solute concentration at the times of sampling to the plasma concentration at the respective times (Cp) versus the ratio of the arterial plasma concentration-time integral to Cp should be drawn. If the data are consistent with this model, then this graph will yield a curve that eventually becomes linear, with a slope of Ki and an ordinate intercept less than or equal to the vascular plus steady-state space of the reversible tissue region.

Transport of alpha-aminoisobutyric acid across brain capillary and cellular membranes.

The transport of alpha-aminoisobutyric acid (AIB), N-methyl-AIB (MeAIB), and diethylenetriaminepentaacetic acid (DTPA) from blood to brain was measured over different experimental periods in eight regions of the rat brain. Unidirectional transfer rate constants were determined from multiple-time/graphical and single-time analysis of the experimental data; values of 0.0018, 0.00057, and 0.000021 ml g-1 min-1, respectively, were obtained for the thalamus by graphical analysis. The initial distribution volume of AIB and MeAIB in brain tissue was several-fold greater than that of DTPA and the tissue plasma volume, and this difference was not accounted for by red blood cell uptake. This discrepancy could be due to rapid transport of AIB and MeAIB into brain endothelial cells in addition to the relatively rapid uptake by choroidal, meningeal, and ependymal associated tissues that was demonstrated by autoradiography. Thus, it may be misleading and erroneous to consider the blood-brain barrier (BBB) to be a simple, single-membrane structure when analyzing the blood-brain transfer data of solutes such as amino acids. The data from the ventriculocisternal perfusion experiments and previously published AIB uptake data in mouse brain slices were used to estimate the transfer rate constants across brain cell membranes. These studies indicated that the transport of AIB into brain cells was approximately 110 to 265 times greater than that across normal brain capillaries per unit mass of brain tissue, and that the BBB limits blood-to-brain cell transport of this amino acid. These observations (low rate of transport across normal brain capillaries and rapid concentrative uptake by brain cells) indicate that AIB is a good marker for measuring moderate to large increases in BBB permeability by experiments that require unidirectional flux of the tracer.

An evaluation of errors in the determination of blood flow by the indicator fractionation and tissue equilibration (Kety) methods.

In this report, the effects of various errors and plasma time courses of indicator concentration on the accurate determination of cerebral blood flow (F) are theoretically analyzed for the tissue equilibration and the indicator fractionation techniques. For the indicator fractionation technique, the impact of sample timing and tissue assaying errors and of indicator backflux were examined; for the tissue equilibration method, errors in the value of the partition coefficient (lambda), sample timing, and tissue assaying were considered. The recommended ways to decrease the effects of errors in the indicator fractionation technique are to administer the indicator by an intravenous bolus and to sample the tissue about 10 s thereafter. Possible errors in the assessment of F by the tissue equilibration technique are diminished by using an indicator infusion schedule which yields a continuous rise in arterial concentration and by selecting a 30-s experiment duration. Surprisingly, the impact of sample timing errors is greater on the determination of F with the tissue equilibration method than with the indicator fractionation technique. For the chosen plasma time courses, there is always a backflux error in an indicator fractionation estimation of F, and this error increases as the flow rate increases. Thus, provided the sample timing and tissue assay errors are small and the value of lambda is known, the tissue equilibration method is the more accurate of the two. If lambda is unknown, then the indicator fractionation technique should be used. In many cases, the indicator fractionation method will provide as accurate an estimate of F as will the tissue equilibration method.

Selection of experimental conditions for the accurate determination of blood--brain transfer constants from single-time experiments: a theoretical analysis.

Reliable blood-brain transfer constants can be determined from data obtained in single-time experiments (i.e., a single experimental time for tissue sampling). The accuracy of such measurements depends on factors such as the test molecule used and the experimental time chosen; therefore, the selection of optimal experimental conditions is important. In this presentation, a model of transport across the blood--brain barrier (BBB) was developed and used to determine appropriate experimental protocols for single-time experiments. Transfer numbers derived from published data with alpha-aminoisobutyric acid (AIB; a compound of low BBB permeability that is readily taken up by brain cells) and diethylenetriaminepentaacetic acid (DTPA; a compound of very low BBB permeability that is not taken up by brain cells) were inserted into the model and apparent blood-to-brain transfer constants (K1) were obtained. In addition, the two basic sets of transfer numbers were altered to mimic various experimental and pathological changes in blood--brain transport. The results of this analysis indicate that moderate to large transfer rates across the BBB (0.01-1.0 ml g-1 min-1) are more easily and reliably measured by AIB-like compounds. In contrast, compounds like DTPA are better test-molecules for measuring small changes in the BBB transfer rate (0.0001-0.001 ml g-1 min-1), provided an appropriate experimental time is chosen.

Kinetic model of 2-deoxyglucose metabolism using brain slices.

A six-compartment, nine-parameter kinetic model of 2-deoxyglucose (2DG) metabolism, which includes bidirectional tissue transport, phosphorylation, two-step dephosphorylation, phosphoisomerization, and conjugation to UDP and macromolecules, has been derived. Data for analysis were obtained from 540- and 1,000-microns-thick hippocampal and hypothalamic brain slices, which were incubated in buffer containing [14C]2DG, frozen, extracted with perchlorate, and separated on anion-exchange columns. Solutions of the equations of the model were fit to the data by means of nonlinear least-squares analysis. These studies suggest that dephosphorylation is adequately described by a single reaction so that the model reduces to eight parameters. The in vitro rate constants for transport, phosphorylation, and dephosphorylation are very similar to prior in vivo results. The phosphoisomerization rate constant is similar to dephosphorylation, so glycosylated macromolecules slowly accumulate and gradually assume larger relative importance as other compounds disappear more rapidly. Rate constants for 540-microns slices from hypothalamus and hippocampus are similar, while 1,000-microns slices have smaller tissue transport constants and larger phosphorylation constants. The rate equation for glucose utilization of this model is relatively insensitive to uncertainties regarding the rate constants. Including later metabolic components in kinetic models improves the calculations of glucose utilization with long isotope exposures.

Simplified brain slice glucose utilization.

Brain slice glucose utilization (SGU) can be measured by methods analogous to those used for in vivo cerebral glucose utilization. In order to make this technique more accessible and applicable to a broad range of experimental conditions, we have derived a simplified operational rate equation and generated the table of apparent rate coefficients necessary to apply the equation under different experimental situations. Calculations of the apparent rate coefficients were based upon an eight-parameter kinetic model combined with Michaelis-Menten theory to account for changes in the rate constants as a function of buffer glucose concentration. The theory was tested with a series of experiments using rat brain slices. [14C]-2-deoxyglucose (2DG) and [14C]-3-O-methylglucose (3OMG). The errors involved in the simplified technique were estimated by a variety of techniques and found to be acceptable over a broad range of conditions. A detailed, practical protocol for the simplified method is presented.

A spatial analysis of the blood-brain barrier damage in experimental allergic encephalomyelitis.

Experimental allergic encephalomyelitis was induced in young male Lewis rats. Following the development of neurological signs, the local distribution of perivascular inflammatory cellular infiltrates and the local blood-to-tissue transfer constants (K1) of alpha-aminoisobutyric acid (AIB) were determined, and these results were compared. Perivascular infiltrative lesions were generally found near areas of the CNS that normally lack an effective blood-brain barrier (BBB) such as the choroid plexus and the entry zones of the cranial and spinal nerve roots. This distribution pattern indicates that the entry of the causative agent into CNS tissue may be by way of the permeable microvessels of these structures. In tissue around inflamed veins, the mean transfer constant was slightly but significantly increased (2.8 +/- 1.5 microliter g-1 min-1) compared with uninvolved regions (0.9 +/- 0.2 microliter g-1 min-1) and similar areas in control animals (0.9 +/- 0.3 microliter g-1 min-1). Analysis of the autoradiographic method of determining transfer constants suggested that the AIB influx rate in the lesion areas may actually be manyfold larger than measured, that BBB permeability may be greatly increased at such sites, and that the areas of lymphocytic infiltration and increased K values may be virtually identical.

Rapid amino acid uptake in rat pituitary neural lobe during functional stimulation by chronic dehydration.

We studied the transfer of a small neutral amino acid, alpha-aminoisobutyric acid, from arterial blood into the pituitary neural lobe in normal rats and in rats deprived of water for 5 days. A threefold increase in the neural lobe uptake of the amino acid was found in the chronically dehydrated rats. Possible causes for this effect include enlargement of the capillary and pituicyte membrane surface areas available for solute flux and increased permeability of these membranes. Such functional and structural alterations may be associated with an increase in protein turnover in the neural lobe during dehydration.

Asymmetrical transport of amino acids across the blood-brain barrier in humans.

Blood-brain barrier permeability to four large neutral and one basic amino acid was studied in 30 patients with the double indicator technique. The resultant 64 venous outflow curves were analyzed by means of two models that take tracer backflux and capillary heterogeneity into account. The first model considers the blood-brain barrier as a double membrane where amino acids from plasma enter the endothelial cell. When an endothelial cell volume of 0.001 ml/g was assumed, permeability from the blood into the endothelial cell was, for most amino acids, about 10-20 times larger than the permeability for the reverse direction. The second model assumes that the amino acids, after intracarotid injection, cross a single membrane barrier and enter a well-mixed compartment, the brain extracellular fluid, i.e., the endothelial cell is assumed to behave as a single membrane. With this model, for large neutral amino acids, the permeability out of the extracellular fluid space back to the blood was between 8 to 12 times higher than the permeability from the blood into the brain. Such a difference in permeabilities across the blood-brain barrier can almost entirely be ascribed to the effect of a nonlinear transport system combined with a relatively small brain amino acid metabolism. The significance of the possible presence of an energy-dependent A system at the abluminal side of the blood-brain barrier is discussed and related to the present findings. For both models, calculation of brain extraction by simple peak extraction values underestimates true unidirectional brain uptake by 17-40%. This raises methodological problems when estimating blood to brain transfer of amino acids with this traditional in vivo method.