Quantitative dual-probe microdialysis: mathematical model and analysis

Steady-state microdialysis is a widely used technique to monitor the concentration changes and distributions of substances in tissues. To obtain more information about brain tissue properties from microdialysis, a dual-probe approach was applied to infuse and sample the radiotracer, [3H]mannitol, simultaneously both in agar gel and in the rat striatum. Because the molecules released by one probe and collected by the other must diffuse through the interstitial space, the concentration profile exhibits dynamic behavior that permits the assessment of the diffusion characteristics in the brain extracellular space and the clearance characteristics. In this paper a mathematical model for dual-probe microdialysis was developed to study brain interstitial diffusion and clearance processes. Theoretical expressions for the spatial distribution of the infused tracer in the brain extracellular space and the temporal concentration at the probe outlet were derived. A fitting program was developed using the simplex algorithm, which finds local minima of the standard deviations between experiments and theory by adjusting the relevant parameters. The theoretical curves accurately fitted the experimental data and generated realistic diffusion parameters, implying that the mathematical model is capable of predicting the interstitial diffusion behavior of [3H]mannitol and that it will be a valuable quantitative tool in dual-probe microdialysis.     

Extracellular Concentration and In Vivo Recovery of Dopamine in the Nucleus Accumbens Using Microdialysis

The present study compared two different in vivo microdialysis methods which estimate the extracellular concentration of analytes at a steady state where there is no effect of probe sampling efficiency. Each method was used to estimate the basal extracellular concentration of dopamine (DA) in the nucleus accumbens of the rat. In the first method, DA is added to the perfusate at concentrations above and below the expected extracellular concentration (0, 2.5, 5, and 10 nM) and DA is measured in the dialysate from the brain to generate a series of points which are interpolated to determine the concentration of no net flux. Using this method, basal DA was estimated to be 4.2 +/- 0.2 nM (mean +/- SEM, n = 5). The slope of the regression gives the in vivo recovery of DA, which was 65 +/- 5%. This method was also used to estimate a basal extracellular 3,4-dihydroxyphenylacetic acid (DOPAC) concentration in the nucleus accumbens of 5.7 +/- 0.6 microM, with an in vivo recovery of 52 +/- 11% (n = 5). A further experiment which extended the perfusate concentration range showed that the in vivo recovery of DA is significantly higher than the in vivo recovery of DOPAC (p less than 0.001), whereas the in vitro recoveries of DA and DOPAA are not significantly different from each other. The in vivo difference is thought to be caused by active processes associated with the DA nerve terminal, principally release and uptake of DA, which may alter the concentration gradient in the tissue surrounding the probe.(ABSTRACT TRUNCATED AT 250 WORDS)     

Model for Concomitant Microdialysis Sampling of the Pons and Cerebral Cortex in Rhesus Macaques (Macaca mulatta)

Pediatric diffuse intrinsic pontine gliomas are aggressive brainstem tumors that fail to respond to treatment. We hypothesize that the protective features of the pons may hinder chemotherapeutic agents from entering pontine tissue compared with cortical brain tissue. To test this hypothesis, we developed a unique nonhuman primate model using microdialysis, a continuous in vivo extracellular sampling technique, to compare drug exposure concurrently in pontine tissue, cortical tissue, CSF, and plasma after intravenous administration of chemotherapeutic agents. The surgical coordinates and approach for microdialysis cannula–probe placement were determined in 5 adult male rhesus monkeys (Macaca mulatta) by using MRI. Microdialysis cannulas–probes were implanted stereotactically in the brain, retrodialysis was performed to measure relative recovery, and a 1-h intravenous infusion of temozolomide was administered. Continuous microdialysis samples were collected from the pons and cortex over 4 h with concurrent serial plasma and CSF samples. Postsurgical verification of microdialysis cannula–probe placement was obtained via MRI in 3 macaques and by gross pathology in all 5 animals. The MRI-determined coordinates and surgical methodologies resulted in accurate microdialysis probe placement in the pons and cortex in 4 of the 5 macaques. Histologic examination from these 4 animals revealed negligible tissue damage to the pontine and cortical tissue from microdialysis. One macaque was maintained for 8 wk and had no deficits attributed to the procedure. This animal model allows for the determination of differences in CNS penetration of chemotherapeutic agents in the pons, cortex, and CSF after systemic drug administration.Abbreviations: DIPG, diffuse intrinsic pontine glioma; ECF, extracellular fluidPediatric diffuse intrinsic pontine gliomas (DIPG) are aggressive tumors that cannot be surgically resected due to their location, and are resistant to chemotherapeutic and radiation therapies. As a result, children with DIPG have a dismal prognosis with median survival less than one year from diagnosis. One hypothesis for the poor efficacy of treatment is that innate CNS protective features, such as the blood–brain barrier and the blood–CSF barrier, shield the brainstem to a higher degree given its critical functions, and isolate pontine gliomas from treatment. To test this hypothesis, we developed a nonhuman primate model in rhesus monkeys to evaluate pontine tissue pharmacokinetics by using microdialysis, a continuous in vivo extracellular sampling technique based on diffusion. Microdialysis is the ‘gold standard’ for in vivo sampling methodologies in the CNS, enabling the collection of extracellular tissue fluid via passive diffusion by using a semipermeable membrane probe.A nonhuman primate model demonstrating the feasibility of microdialysis sampling from cortical brain tissue with concurrent pharmacokinetic sampling during chemotherapeutic drug administration has previously been established,^3-5,7 but there are no current animal models that measure drug penetration into the pons. The location of the pons deep within the brain, as well as the vital brainstem functions associated with the pons, present additional obstacles to accurate microdialysis probe placement and sample collection. The objectives of the current study were to develop imaging and surgical procedures for the accurate placement of a microdialysis probe within the pons of rhesus monkeys for sample collection, to establish a method to perform microdialysis simultaneously in multiple CNS regions, and to develop a mechanism to perform repeated microdialysis in the same areas with a single invasive surgical procedure. This model allows for the pharmacokinetic comparison of drug penetration into pontine tissue, in conjunction with cortical tissue, plasma, and CSF, after intravenous administration.     

Determination of Brain Interstitial Concentrations by Microdialysis

Microdialysis is an extensively used technique for the study of solutes in brain interstitial space. The method is based on collection of substances by diffusion across a dialysis membrane positioned in the brain. The outflow concentration reflects the interstitial concentration of the substance of interest, but the relationship between these two entities is at present unclear. So far, most evaluations have been based solely on calibrations in saline. This procedure is misleading, because the ease by which molecules in saline diffuse into the probe is different from that of tissue. We describe here a mathematical analysis of mass transport into the dialysis probe in tissue based on diffusion equations in complex media. The main finding is that diffusion characteristics of a given substance have to be included in the formula. These include the tortuosity factor (lambda) and the extracellular volume fraction (alpha). We have substantiated this by studies in a well-defined complex medium (red blood cell suspensions) as well as in brain. We conclude that the traditional calculation procedure results in interstitial concentrations that are too low by a factor of lambda 2/alpha for a given compound.     

Electrolyte- and fluid-spaces of rat brain in situ after infusion with dinitrophenol.

Chemical distribution measurements of radioactive sodium-thiosulfate (35S) and of the brain water indicate that infusion of 2.4-dinitrophenol into a carotid artery of rats caused a water uptake and fluid shifts from the extra- into the intracellular compartments in the central nervous system. The extracellular marker compound was administered to the brain via ventriculo-cisternal perfusion and intravenous injection yielding almost equal concentrations in plasma-water and perfusate. In order to prevent an active efflux of the label from the tissue, high concentrations were utilized in the perfusate to saturate potential outward transport mechanisms. The indicator space (based on total brain water) was 16% in controls and 12% in experimental animals when marker equilibrium had been attained, which is equivalent in reduction of the extracellular space of about 1/4. Intracellular water and Na+ rose after DNP, while K+ remained all but unchanged. The fluid shift into the intracellular compartment was found to relate closely with a cellular uptake of Na+. The Na+ concentration both in plasma and in the perfusion fluid leaving the ventricular system was consistently reduced in experimental animals. The K+ concentration was significantly elevated in the plasma of experimental animals but virtually unchanged in the cisternal effluate.     

Electrolyte- and fluid-spaces of rat brain in situ after infusion with dinitrophenol

Chemical distribution measurements of radioactive sodium-thiosulfate (³⁵S) and of the brain water indicate that infusion of 2.4-dinitrophenol into a carotid artery of rats caused a water uptake and fluid shifts from the extra- into the intracellular compartments in the central nervous system. The extracellular marker compound was administered to the brain via ventriculo-cisternal perfusion and intravenous injection yielding almost equal concentrations in plasma- water and perfusate. In order to prevent an active efflux of the label from the tissue, high concentrations were utilized in the perfusate to saturate potential outward transport mechanisms. The indicator space (based on total brain water) was 16% in controls and 12% in experimental animals when marker equilibrium had been attained, which is equivalent in reduction of the extracellular space of about 1/4. Intracellular water and Na⁺ rose after DNP, while K⁺ remained all but unchanged. The fluid shift into the intracellular compartment was found to relate closely with a cellular uptake of Na⁺. The Na⁺ concentration both in plasma and in the perfusion fluid leaving the ventricular system was consistently reduced in experimental animals. The K⁺ concentration was significantly elevated in the plasma of experimental animals but virtually unchanged in the cisternal effluate.     

An In Vivo Study of Dopamine Release and Metabolism in Rat Brain Regions Using Intracerebral Dialysis

Intracerebral dialysis was used with a specifically designed HPLC with electrochemical detection assay to monitor extracellular levels of endogenous 3,4-dihydroxyphenylethylamine (dopamine, DA) and its major metabolites, dihydroxyphenylacetic acid (DOPAC) and homovanillic acid (HVA), in brain regions of the halothane-anesthetized rat. Significant amounts of DA, DOPAC, and HVA were detected in control perfusates collected from striatum and n. accumbens whereas the medial prefrontal cortex showed lower monoamine levels. The ratio of DA in perfusate to DA in whole tissue suggests that in f. cortex, compared to n. accumbens and striatum, there is a greater amount of DA in the extracellular space relative to the intraneuronal DA content. The DOPAC/HVA ratio in control perfusates varied between regions in accordance with whole tissue measurements. This ratio was highest in n. accumbens and lowest in f. cortex. The monoamine oxidase inhibitor pargyline (100 mg/kg i.p.) caused an exponential decline in DOPAC, but not of HVA, in regional perfusates, an effect that was associated with an increase in DA. The data indicated a higher turnover of extracellular DOPAC in n. accumbens than in striatum and the lowest DOPAC turnover in f. cortex. The rate of decline in extracellular DA metabolite levels was slow compared to whole tissue measurements. In the perfusates there was no statistical correlation between basal amounts of DA in the perfusates and DOPAC and HVA levels or DOPAC turnover for any of the areas, indicating that measurement of DA metabolism in the brain under basal conditions does not provide a good index of DA release. In summary, this study shows clear regional differences in basal DA release and metabolite levels, metabolite patterns, and DOPAC turnover rates in rat brain in vivo.     

Microdialysis measures of functional increases in ACh release in the hippocampus with and without inclusion of acetylcholinesterase inhibitors in the perfusate

Because brain extracellular acetylcholine (ACh) levels are near detection limits in microdialysis samples, an acetylcholinesterase (AChE) inhibitor such as neostigmine is often added to microdialysis perfusates to increase ACh levels in the dialysate, a practice that raises concerns that the inhibitor might alter the results. Two experiments compared functional differences in ACh release with and without neostigmine. In the first experiment, 30-60% increases in extracellular ACh concentrations in the hippocampus were evident during food-rewarded T-maze training with 20-500 nm neostigmine in the perfusate but no increases were seen without neostigmine. In the second experiment, 78% increases in ACh release in the hippocampus were seen after injections of the GABA(A) receptor antagonist, bicuculline, into medial septum only if neostigmine (50 nm) was included in the perfusate. These findings suggest that, in the hippocampus, endogenous brain AChEs are very efficient at removing extracellular ACh, obscuring differences in ACh release in these experiments. Therefore, inclusion of AChE inhibitors in the microdialysis perfusate may be necessary under some conditions for observations of functional changes in release of ACh in the hippocampus.     

The role of the blood-brain barrier in perfusion fixation of the brain for electron microscopy

Synopsis Regions of the brain vascularized by capillaries of the blood-brain barrier (BBB) type require a different fixative from regions which have capillaries of the endocrine type. Fixative with isotonic buffer gives excellent ultrastructural preservation in the BBB regions, but causes severe shrinkage of cells in the endocrine regions. This is evidently due to the difference in the permeability of the capillary walls to solutes in the fixative. In the BBB regions the less perimeable capillaries do not allow outflow of osmotically active particles to a harmful extent, whereas in the endocrine regions osmotic imbalances are created between the intra-and extracellular compartments.The diffusion rate of the fixative and the final volume of the fixed brain depend on the balance between the intravascular and interstitial hydrostatic and oncotic pressures across the capillary wall during the perfusion fixation, as those pressures regulate the amount of perfusate that will enter the parenchyma. Generally, as high a perfusion pressure as possible is recommended to obtain effective wash-out of blood and rapid diffusion of dixative into the tissue. Addition of macromolecules (2% PVP, mol. wt. 40000) into the fixative slightly improved the ultrastructural preservation in the BBB regions of the centrel nervous system.     

脑透析术——测定神经递质和神经肽释放的一种新技术

脑透析术（Ｂｒａｉｎｄｉａｌｙｓｉｓ）,又称微透析术（Ｍｉｃｒｏｄｉａｌｙｓｉｓ）是在推挽灌流基础上发展起来的一种连续灌注并采集清醒自由活动动物特定脑区内灌流液的一种新方法。该技术与高效液相色谱（ＨＰＬＣ）或放射免疫测定（ＲＩＡ）等灵敏的检测系统相结合可测定脑内细胞外液中许多神经递质如乙酰胆碱、去甲肾上腺素、多巴胺、５－羟色胺及它们的代谢产物、游离氨基酸、小的肽类、磷酸乙醇胺、维生素和各种离子等的变化。     

An ESR contrast agent is transported to rat liver through organic anion transporter

Carboxy PROXYL is a useful extracellular paramagnetic contrast reagent in electron spin resonance (ESR) and magnetic resonance imaging (MRI). Active transfer of the probe was investigated using an in situ liver model in rats. Carboxy PROXYL, a nitroxyl spin probe, was perfused into in situ liver perfusion system from Wistar rats. Concentration of nitroxyl form of the spin probe in effluent increased gradually after introducing perfusate with the spin probe and reached a plateau. The disappearance of Carboxy PROXYL from the perfusate was 40%, which could not be explained with its partition coefficient. Administration of non-selective inhibitors of organic anion transporters, p-aminohippuric acid and penicillin G, inhibited competitively and in a dose dependent manner the transfer of Carboxy PROXYL into rat liver in situ, resulting in increases of Carboxy PROXYL in the effluent. The results demonstrate that there is an active transfer system of an ESR contrast reagent into in situ rat liver through organic anion transporters.     

Monitoring the Stimulated Release of Dopamine with In Vivo Voltammetry. I: Characterization of the Response Observed in the Caudate Nucleus of the Rat

Microvoltammetric electrodes were employed in the brain of an anesthetized rat to monitor chemical substances in extracellular fluid following electrical stimulation of the medial forebrain bundle. An increase in concentration of an easily oxidized substance is observed in the caudate nucleus and in the nucleus accumbens. A large amount of evidence suggests that the substance that is observed following stimulation is dopamine. (1) The location of the stimulating electrode must be in known dopaminergic tracts to induce release. (2) Release is most easily observed in brain regions that contain significant numbers of dopamine-containing neurons. (3) Two voltammetric electrodes with very different electrochemical responses provide voltammograms of the released species that are unique for catechols in one case and catecholamines in another case. (4) The amount of 3,4-dihydroxyphenylacetic acid found in striatal tissue by postmortem analysis correlates with the calculated amount of dopamine released. (5) Inhibition of tyrosine hydroxylase, and thus dopamine synthesis, decreases the observed release while inhibition of monoamine oxidase, and thus formation of dopamine metabolites, does not. (6) The dependence of release on stimulation parameters agrees with results obtained with perfusion techniques. Thus, a new method has been developed to characterize endogenous dopamine release in the rat brain and can be used on a time scale of seconds.     

Diffusion in the slice microenvironment and implications for physiological studies

The brain cell microenvironment includes the extracellular space surrounding the cell together with the cellular elements that define the space. The dense packing of cells in the mammalian nervous system ensures that the extracellular space is narrow but highly complex in geometry. Recent studies with ion-selective micropipettes have revealed that the cerebellar slice can support changes in [K+]o that resemble those seen in the intact preparation. In the slice, [K+]o responses of individual cells can even be resolved. Studies with iontophoretic techniques and quantitative analysis in the slice have shown that the extracellular space has diffusion properties, characterized by a volume fraction and a tortuosity, that are very similar to those seen in the intact animal. These data confirm that the microenvironment in the slice is comparable to that in the intact animal. The diffusion parameters can be used to make predictions about the time necessary for substances to diffuse into slices under various conditions. Such estimates, together with other studies, indicate that it is probably inadvisable to use slices with thicknesses in excess of 300--400 micrometers, and that the bathing conditions can be critical in maintaining slice viability.     

An ESR contrast agent is transported to rat liver through organic anion transporter

Carboxy PROXYL is a useful extracellular paramagnetic contrast reagent in electron spin resonance (ESR) and magnetic resonance imaging (MRI). Active transfer of the probe was investigated using an in situ liver model in rats. Carboxy PROXYL, a nitroxyl spin probe, was perfused into in situ liver perfusion system from Wistar rats. Concentration of nitroxyl form of the spin probe in effluent increased gradually after introducing perfusate with the spin probe and reached a plateau. The disappearance of Carboxy PROXYL from the perfusate was 40%, which could not be explained with its partition coefficient. Administration of non-selective inhibitors of organic anion transporters, p-aminohippuric acid and penicillin G, inhibited competitively and in a dose dependent manner the transfer of Carboxy PROXYL into rat liver in situ, resulting in increases of Carboxy PROXYL in the effluent. The results demonstrate that there is an active transfer system of an ESR contrast reagent into in situ rat liver through organic anion transporters.     

The Use of Osmium Tetroxide-Potassium Ferrocyanide as an Extracellular Tracer in Electron Microscopy

Secondary treatment of glutaraldehyde fixed liver samples with long term stored solutions of osmium tetroxide and potassium ferrocyanide (Os-Fe) results in tracing of the extracellular spaces of the tissue with an electron opaque substance. This substance does not diffuse across cell membranes, its formation probably being related to the progressive reduction of the O_sO₄ molecule by potassium ferrocyanide. The application of the present method in electron microscopy may be useful in overcoming the artifacts often induced by other tracing techniques such as vascular perfusion with peroxidase or immersion in lanthanum. Although the period of storage of the Os-Fe solution is a clear disadvantage of the method, it seems plausible to anticipate that further studies on the chemical interaction between osmium tetroxide and potassium ferrocyanide will provide us with a Os-Fe mixture having an immediate tracer effect.     

Simultaneous Measurement of Extracellular Morphine and Serotonin in Brain Tissue and CSF by Microdialysis in Awake Rats

In this report, we describe an HPLC with electrochemical detection assay for the simultaneous measurement of levels of morphine, serotonin, 5-hydroxyindole-3-acetic acid, and homovanillic acid in dialysates of various brain areas and CSF in the awake rat. Morphine could be detected in the dialysates after a single intraperitoneal injection, with doses as low as 1.0 mg/kg. The time course of extracellular morphine content in the lateral hypothalamus, striatum, cerebellum, periaqueductal gray, and dorsal horn of the spinal cord and in CSF, from the ventricles and cisterna magna, was similar. We detected morphine in the first 15-min sample, and levels peaked 45-60 min after injection. Maximal dialysate levels, however, varied with the type of dialysis probe used and the area sampled. The most efficient in vivo recovery was in CSF dialysates from the cisterna magna, presumably because of minimal tissue interference with the dialysis probe. For this reason, the cisterna is an ideal region for sampling CSF. Morphine had no significant effect on the extracellular concentrations of serotonin in any of the areas studied and did not modify or only slightly increased levels of tissue metabolites; however, morphine markedly increased the CSF levels of 5-hydroxyindole-3-acetic acid and homovanillic acid. Because microdialysis in freely moving animals permits assessment of the behavioral effects of morphine while continuously monitoring the drug levels in discrete brain regions, this approach will greatly facilitate future studies of the neurochemical basis of morphine's effects in the brain.     

Continuous intracellular recording from mammalian neurons exposed to hyperbaric helium, oxygen, or air.

We developed a hyperbaric chamber for intracellular recording in rat brain stem slices during continuous compression and decompression of the tissue bath with the inert gas helium. Air, rather than helium, was also used as the compression medium in some cases to increase tissue nitrogen levels. An important feature is the chamber door, which opens or closes rapidly at 1 atmosphere absolute (ATA) for increased accessibility of the microelectrode. The door also closes and seals smoothly without disrupting the intracellular recording. Hyperbaric oxygen was administered during helium compression using a separate pressure cylinder filled with perfusate equilibrated with 2. 3-3.3 ATA oxygen. Measurements of tissue/bath PO(2) and pH confirmed that the effects of compression using helium or air could be differentiated from those due to increased PO(2). One hundred and thirteen neurons were studied during 375 compression cycles ranging from 1 to 20 ATA (mode 3.0 ATA). We conclude that it is technically feasible to record intracellularly from the same mammalian neuron while changing ambient pressure over a physiologically important range. These techniques will be useful for studying how various hyperbaric environments affect neurophysiological mechanisms.     

Ascorbyl free radical as a reliable indicator of free-radical-mediated myocardial ischemic and post-ischemic injury. A real-time continuous-flow ESR study

The real-time kinetics of the release of ascorbyl free radicals in the coronary perfusate from isolated rat hearts submitted to an ischemia/reperfusion sequence has been achieved by continuous-flow ESR using high-speed acquisition techniques. Enhanced ESR detection of ascorbyl free radicals was obtained by addition of dimethyl sulfoxide (Me2SO), a strong cation chelator and oxidizing agent. A continuous-flow device allowed a direct monitoring of the ascorbyl free radical and/or ascorbate leakage in coronary perfusate by observation of the ascorbyl radical doublet (aH = 0.188 mT and g = 2.0054). 1. The results showed that ascorbyl free radical release occurred mainly during sequences of low-flow ischemia (90 min) coupled or not with 30 min of zero-flow ischemia followed by reperfusion (60 min). The kinetic profiles of ascorbyl-free-radical detection confirm in quantitative terms the expected correlation between the duration of the ischemic insult and the magnitude of ascorbate extracellular release upon reperfusion. There is indication that ascorbyl free radical depletion could be secondary to oxygen-derived-free-radical-induced cellular damage. 2. The amount of residual ascorbic acid was quantitated on myocardial tissue at the end of reperfusion using Me2SO as extracting solvent. Intense oxidation of ascorbate and chemical stabilization of the resulting free radical species provided by Me2SO allowed ESR measurement of a marked tissue ascorbate depletion related to the duration of ischemia. 3. Perfusion of superoxide dismutase during low-flow ischemia and the first 10 min of reperfusion greatly inhibited both extracellular release and endogenous ascorbate depletion. These results suggest that the ascorbate redox system constitutes a major protective mechanism against free-radical-induced myocardial injury. 4. The proposed direct ESR detection of ascorbyl free radicals in the coronary perfusates or in tissue extracts does not require extensive chemical preparation and conditioning of effluent or tissue samples. It provides an interesting straightforward alternative to the evaluation of detrimental free radical processes affecting the myocardium during ischemia and reperfusion.     

Drug distribution studies with microdialysis. II. Caffeine and theophylline in blood, brain and other tissues in rats

Microdialysis was applied to estimate the pharmacologically active concentration of caffeine and theophylline in blood, adipose tissue, muscle, liver and brain of rats. The concentration of the drugs in the extracellular space was estimated by perfusion with varying concentrations of the drug through the microdialysis probe (difference method). Caffeine (20 mg/kg) was found to be evenly distributed with a free concentration of approximately 120 microM. Theophylline concentration in the brain was 91 microM and in other tissues approximately 120 microM. The rate of penetration into brain extracellular space was higher for caffeine than for theophylline. It is suggested that the lower levels of theophylline attained in the brain may to some extent explain the differences in clinical action profile between caffeine and theophylline.