Tracer diffusion and unidirectional fluxes

The internal reference technique in microdialysis: a practical approach to monitoring dialysis efficiency and to calculating tissue concentration from dialysate samples

In microdialysis experiments, 'recovery' estimations are required to calculate extracellular concentrations of the compounds determined. Generally, relative recovery (RR) is determined in vitro as: RR = cd/cs, with (cd) being the concentration of a compound in a dialysate fraction and (cs) its known concentration within a sample solution. To determine recoveryin vivo, relative loss (RL) was defined RL = (cp-cd)/cp with (cp-cd) being the loss of a compound from the perfusate and (cp) its perfusate concentration. RL was determined in vitro and in vivo by adding an 'internal reference compound' to the perfusate. Here, 14C-labelled lactate was used as the compound of interest. Comparing RL and RR in vitro, we found both to be similar. In vivo, however, RL was 34% of RL(in) vitro (CSF) and 46% of RL(in) vitro in agar-containing CSF. During ischaemia, RL of lactate even decreased to only 35% of the pre-ischaemic control level. We conclude that RL and RR represent inverse measurements of 'recovery.' Whereas RR can only be determined in vitro, RL can be determined in vivo. We found recoveryin vivo to be different from recoveryin vitro. Moreover, recoveryin vivo decreased during ischaemia. By means of the measured recoveryin vivo extracellular lactate concentrations prior and during ischaemia were calculated. The results, therefore, validate the 'internal reference technique' as a practical method for estimating recoveryin vivo and for controlling dialysis efficacy in vivo even continuously.

Characterization of the permselective properties of excised human skin during iontophoresis

The iontophoretic and passive transport of [3H]mannitol, 22Na+, 36Cl-, and 45Ca++ across excised human cadaver skin was studied using diffusion cells. The anode (+) was placed in the side of the diffusion cell facing the epidermis and the cathode (-) was placed in the side facing the dermis, and current densities at 0, 0.078, 0.16, and 0.23 mA.cm-2 were investigated. The results showed that mannitol and Na+ were transported preferentially by anodal (+) iontophoresis, Cl- was transported by cathodal (-) iontophoresis, and all respective fluxes were approximately proportional to the applied current density. When the skin was present as a membrane barrier between the two diffusion cell chambers the voltage induced flux of Na+ was found to be higher than its free solution value, and that of Cl- was lower. Taken together these results suggest that the skin is a permselective membrane and exists with an "apparent" net negative charge at the free solution pH of 7.4. During iontophoresis this permselectivity leads to current-induced volume flow, which provides a primary mechanism for the transport for a polar uncharged molecule such as mannitol. When Ca++ is substituted for Na+ on the side of the diffusion cell facing the epidermis, the Cl- flux from the dermal side is enhanced with a portion of the remaining charge being carried by Ca++. The mannitol flux from the epidermal side was decreased under these conditions. This implies that Ca++ alters the anion/cation flux ratio in the excised tissue, possibly by binding to fixed negative charges in the membrane, with the result that the volume flow is decreased.(ABSTRACT TRUNCATED AT 250 WORDS)

Oxalate transport across the isolated rat colon. A re-examination

A net absorption of oxalate and chloride was observed when isolated, short-circuited segments of rat colon were bathed by a calcium-containing buffer. Removal of calcium promoted a two-fold decrease in transmural resistance, while the net chloride flux was reduced and the net oxalate transport abolished. It was concluded that net oxalate absorption was not observed in previous studies (employing calcium-free buffers) because calcium is reqiured to maintain the integrity of the conductive pathways across colonic epithelia.

Concentration-dependence of nonelectrolyte permeability of toad bladder

A theoretical formulation was derived for the dependence of bulk solute permeability, P, defined as net flux divided by concentration gradient, delta c, across any membrane in which solute concentration is controlling for net flux, delta J. According to this formulation, delta J is stimulated by increments in trans concentration, c2, in the range c2/c1 equals 0.0--0.1. Net flux of urea across toad bladder down concentration gradients was shown to be stimulated threefold by small increments in trans urea concentration. The theory also predicts that, in the absence of concentration gradients, tracer permeability, P, defined as tracer flux divided by tracer concentration, will be independent of c provided that P equals P, but will diminish with increasing c if P/P less than 1.P/P was not significantly different from unity for urea, and both P and P were independent of c in the absence of concentration gradients. However, P/P was significantly less than unity (0.90 and 0.85) for thiourea and mannitol, respectively. In conformity with theory, P (and also P) of these two solutes, measured as c was increased by 3--4 orders of magnitude, diminished progressively. These effects are more consistent with this formulation than with transport via a saturable carrier.

Solute flux coupling in a homopore membrane

Our previous studies on solute drag on frog skin and synthetic heteropore membranes have been extended to a synthetic homopore membrane. The 150-A radius pores of this membrane are formed by irradiation and etching of polycarbonate films. The membrane is 6-microm thick and it has 6 x 10(8) pores cm(-2). In this study, sucrose has been used as the driver solute with bulk flow blocked by hydrostatic pressure. As before on heteroporous membranes, the transmembrane asymmetry of tracer solute is dependent on the concentration of the driver solute. Tracer sucrose shows no solute drag while maltotriose shows appreciable solute drag at 1.5 M sucrose. With tracer inulin and dextran, solute drag is detectable at 0.5 M sucrose. These results are in keeping with the previous findings on heteropore membranes. Transmembrane solute drag is the result of kinetic and frictional interaction of the driver and tracer solutes as the driver flows down its concentration gradient. The magnitude of the tracer flux asymmetry is also dependent on the size of the transmembrane pores.

Tracer determinations of human red cell membrane permeability to small nonelectrolytes

A flow system has been used to determine the permeability of human red cell membranes to four small nonelectrolytes labeled with (14)C. The permeability coefficients, omega, in units of mol dyne(-1) sec(-1) x 10(15), are: ethylene glycol, 6; urea, 13; formamide, 22; and methanol, 131. The values for urea and formamide are in good agreement with values obtained by Sha'afi, Gary-Bobo, and Solomon by the minimum method. The unusually high value for omega for methanol is ascribed to its solubility in the red cell membrane since its ether: water partition coefficient is 0.14, higher by more than an order of magnitude than the ether: water partition coefficient for water. The other three solutes are hydrophilic and are characterized by values of omega which behave consistently with those of other hydrophilic amides and ureas. The values of omega for the three hydrophilic solutes measured are also consistent with an equivalent pore radius of about 3.5 A in agreement with previous estimates made on the basis of other types of studies.

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.

Transport parameters in a porous cellulose acetate membrane

The transport parameters of a cellulose acetate membrane prepared from a mixture of cellulose acetate, formamide, and acetone, 25:25:50 by weight, were studied. The membrane consists of a thin, porous layer, the skin, in series with a thick, highly porous layer, the coarse support. In the skin the diffusional permeability coefficient, omega, of a number of small amides and alcohols depends critically upon the partition coefficient, K(s), the size of the molecule, and the apparent hydrogen-bonding ability, N(s), of the solute. These observations are in general agreement with our earlier conclusions on the properties of nonporous membranes. On the other hand, the corrected reflection coefficient, sigma', is not a very sensitive function of either N(s) or K(s) taken separately. The correlation between sigma' and molecular diameter is reasonably good; however, it is much improved when both N(s) and K(s) are taken into consideration. Isotope interaction was also studied in the present preparation and was found to provide only a small (5-8%) contribution to the diffusional permeability coefficient of ethylene glycol. The contribution of solute-water friction was found to be less than 24% of the total solute friction.

Role of hydrogen-bonding in nonelectrolyte diffusion through dense artificial membranes

The diffusion of two series of alcohols and amides through complex cellulose acetate membranes was studied. The thin dense part of these membranes behaves as a nonporous layer of low water content. In this layer, called the skin, the solute diffusion coefficients, omega, depend upon size, steric configuration, and the partition coefficient, K(8), between membrane and bathing solution. From the experimental values of omega and K(8), the over-all friction, f, experienced by the solutes in the membrane was computed. It was found that f depends upon the chemical nature of the solute and is related to hydrogen-bonding ability. In the coarse, porous layer of the cellulose acetate membrane, diffusion occurs mainly through aqueous channels. In this instance also the hydrogen-bonding ability of the solute seems to exercise a smaller but significant influence.

Coupled solute fluxes in toad skin

Net inward flux of mannitol across toad skin induced by making the outside solution hypertonic with urea has been investigated. No significant relation between net mannitol flux and net Na flux could be detected when both fluxes were measured simultaneously. In addition, the net mannitol flux caused by hypertonic solution was not altered by inhibition of Na transport with ouabain or by replacement of all Na in the bathing solutions by choline. The rate of net mannitol flux was dependent on the magnitude of the urea concentration difference across the skin and the direction of net flux could be reversed by reversing the direction of the urea concentration difference. These observations suggest that the mannitol transfer is the result of a coupling between the flows of urea and mannitol.