Optimisation of solute transport in dialysers using a three-dimensional finite volume model

Dialyser manufacturers only provide limited information about mass removal under well-defined flow and solute conditions in commercially available dialysers for hemodialysis. This computational study aimed at assessing the solute transport efficiency in a dialyser for different geometries (fiber lengths and diameters). A three-dimensional finite volume model of a single fiber in a high flux polysulphone dialyser (Fresenius F60) was developed. Different equations describe blood and dialysate flow (Navier-Stokes), radial filtration flow (Darcy) and solute transport (convection-diffusion). Fluid and membrane properties were derived from in vitro and in vivo tests as well as from literature data. Urea (MW60) was used as marker to simulate small molecule removal, while middle molecule transport was modelled using vitamin B12 (MW1355) and inulin (MW5200). Keeping the fluid velocity in a single fiber constant, fiber diameter and length were changed in a wide range for evaluation of solute removal efficiency. Clearances were found enhanced by 13% (urea), 50% (vitamin B12) and 89% (inulin) for a fiber twice as long as a standard one and by 5.5% (vitamin B12) and 21% (inulin) for a fiber diameter of 150 mum instead of 200 mum. The impact of fiber dimensions was more pronounced for the middle molecules compared to urea.     

荷叶离褶伞子实体营养成分分析与评价

经测定,荷叶离褶伞Lyophyllum decastes子实体含粗蛋白21.4%,粗脂肪8.2%,粗纤维9.52%,碳水化合物53.03%,灰分13.6%;必需氨基酸6.02g/100g,占氨基酸总量(16.82g/100g)的35.78%;含维生素B10.068mg、维生素B24.26mg、维生素B6590μg、维生素B1255.7μg、烟酸21.2mg;1kg子实体含锌50.0mg、铜19.0mg、硒0.013mg、镉1.85mg、汞0.56mg、铅0.75mg、砷0.29mg。     

Effect of nitroprusside on peritoneal dialysis clearances.

We have studied the effect of intraperitoneal nitroprusside on small (urea) and middle (vitamin B12) molecule dialysis clearances in patients maintained on chronic peritoneal dialysis. Clearances were measured in six patients during the addition of 6 mg of nitroprusside to three and seven consecutive, hourly two-liter exchanges during the course of a routine dialysis treatment. Results indicate that clearances of urea and B12 both increased about 35 percent with the addition of the vasodilator for three exchanges. Clearances immediately returned to baseline values when administration of the vasodilator was discontinued. Addition of the drug to seven consecutive exchanges resulted in a sustained 35 percent increment in clearances. We conclude that addition of 6 mg of nitroprusside to peritoneal dialysis solution can result in a significant increment in both small and middle molecule clearances. Maintenance of the higher clearances requires sustained administration of the drug, which can be tolerated for at least six exchanges with no adverse side effects.     

Mathematical Model of a Countercurrent Flow Multi-fibre Dialyser

Summary The closed form solution to a distributed parameter mathematical model of a countercurrent flow dialyser is presented. The model consisting of a bundle of hollow fibres in a shell accounts for axial convection and radial diffusion. The proposed model relates the fractional removal of a solute to mass transfer parameters such as Sherwood number, length Peclet number and system geometry. Excellent agreement with experimental beer dialysis data is demonstrated for the removal of alcohol using 8-lm thick 200-lm diameter cuprophane hollow-fibre membrane fibres. Potentially, this model could be very helpful in designing new processes involving dialysis. For example, removal efficiency better than 90% is achievable in systems operating with a Sherwood number of 2.0, length Peclet number of 5 · 105, unit tube-side/shell-side volumetric flow and length-to-diameter ratio of 5000. Results were obtained in this work from only the first eigenvalue and the case of no solute in the incoming dialysate stream.     

Vitamin B12 transport in Escherichia coli K12 does not require the btuE gene of the btuCED operon

Summary Transport of vitamin B₁₂ across the cytoplamic membrane ofEscherichia coli requires the products ofbtuC andbtuD, two genes in thebtuCED operon. The role ofbtuE, the central gene of this operon, was examined. Deletions withinbtuE were constructed by removal of internal restriction fragments and were crossed onto the chromosome by allelic replacement. In-frame deletions that removed 20% or 82% of thebtuE coding region did not affect expression of the distalbtuD gene. These nonpolar deletions had little effect on vitamin B₁₂ binding (whole cells or periplasmic fraction) and transport. They did not affect the utilization of vitamin B₁₂ or other cobalamins for methionine biosynthesis, even in strains with decreased outer membrane transport of vitamin B₁₂. ThebtuE mutations did not impair adenosyl-cobalamin dependent catabolism of ethanolamine or repression ofbtuB expression. Thus, despite its genetic location in the transport operon, thebtuE product plays no essential role in vitamin B₁₂ transport.     

The Action of Pitressin on Solute Permeability of the Rabbit Nephron in Vivo

The isotopic equilibration of urea, thiourea, and inulin between urine and plasma was determined in rabbits in the presence or absence of antidiuretic hormone (ADH). Animals were anesthetized with ethanol and permitted to reach steady state after completion of surgery. Tracer was then administered by intraarterial infusion in such a manner that a high constant specific activity in plasma was rapidly attained. Urine flow was kept independent of ADH by addition of mannitol. Urea/creatinine clearance ratios and the accumulation of urea in renal medulla and papilla also remained unaffected by ADH. Under these conditions, thiourea and inulin at all times approached equilibrium, at similar rates. In the absence of ADH, urea also equilibrated at a rate similar to that of inulin. The addition of ADH, however, significantly prolonged the delay before urinary urea reached the high constant specific activity of plasma urea. These observations are interpreted in terms of a specific effect of the hormone on the solute permeability of the nephron.     

Effects of Vitamin B12 Analogues with Alternations in the Side Chains of the Corrin Ring on Urinary Methylmalonate Excretion in Vitamin B12-Deficient Rats

To study how much the side chains of the corrin ring of vitamin B₁₂ are involved in the physiological roles of the vitamin, five vitamin B₁₂ analogues (cyanocobalamin-b-monocarboxylate, cyanocobalamin-d-monocarboxylate, cyanocobalamin-e-monocarboxylate, cyano-13-epicobalamin, and cyanocobalamin(c-lactam)) with alternations in the side chains were synthesized chemically and then administered orally and intravenously to vitamin B₁₂-deficient rats. Male rats fed a vitamin B₁₂-deficient diet for 11 wk developed a severe vitamin B₁₂ deficiency with a high urinary methylmalonate excretion (223.8 ± 136.2 μmol/d) and ~97% (1.2±0.7ng/g tissue) lower hepatic vitamin B₁₂ content. Oral and intravenous administration of cyanocobalamin-b-,-d-, and -e-monocarboxylates and cyano-13-epicobalamin could not improve the severe vitamin B₁₂-deficient status of the rats, indicating that the b-, d-, and e-propionamide side chains of the corrin ring of vitamin B₁₂ are important in the absorption, transport, and function of the vitamin in rats. Urinary methylmalonate excretion of the rats that were intravenously administered cyanocobalamin(c-lactam) increased twice as much as those of the other analogue-supplemented rats, suggesting that cyanocobalamin(c-lactam) act as a powerful Cbl-antagonist. The results also indicate that mammalian cells do not contain a system for synthesizing complete vitamin B₁₂ from these analogues.     

On simultaneous transport of water and solute through plant cell membranes: Evidence for the absence of solvent drag effect and insensitivity of the reflection coefficient

The simultaneous efflux of tritiated water and ¹⁴C labelled ethanol from inner epidermal cells of the bulb scale of Allium cepa was measured with a specially designed efflux chamber. It was found that water and ethanol moved essentially independently. Rates of efflux of tritiated water and ¹⁴C ethanol were essentially the same in the presence or absence of a simultaneous influx of water. Using the same technique the efflux of tritiated water from the epidermal cells was measured during a simultaneous flow of nonlabelled ethanol. When tritiated water and ethanol moved in opposite directions, the water permeability values became slightly reduced depending upon the concentration of ethanol. When ethanol and tritiated water moved in the same direction, however, no effect on water permeability values could be detected. These results are best explained by the molecular theory of diffusion across lipid bilayer membranes, and are consistent with the above findings of lack of interaction between water and ethanol as they are transported across the cell membrane. In another study, the solute permeability coefficients (K_s) for non-electrolytes such as urea and methyl urea were measured by plasmolyzing the epidermal cells and transferring them to equimolal solutions of urea and methyl urea. This method was also used to measure the reflection coefficient (σ) for these nonelectrolytes. The K_s values for methyl urea were 16 times greater than the ones for urea. The values of σ for both of these solutes, however, were very close to 1. Using the K_s data available in the literature for the subepidermal cells of the Pisum sativum stem basis, the σ values were calculated for malonamide, glycerol, methyl urea, ethyl urea, dimethyl urea, and formamide. Again the K_s values for these nonelectrolytes varied by several orders of magnitude, whereas all σ values were found to be close to 1. These findings point out that σ is an insensitive parameter and that K_s, the solute permeability constant, has to be used for characterizing solute transport through the membrane. The present study shows that fast (e.g. ethanol, formamide) as well as slowly permeating molecules do not interact with water as they are transported across the cell membrane. Aqueous pores for the simultaneous transport of water and solutes, therefore, are absent in the plant cell membranes investigated here.     

Disposable Membrane Insert for the Kiil Dialyser

The use of a presterilized, disposable, mesh-supported membrane envelope in the Watson Marlow Kiil dialyser results in a 12% improvement in urea and creatinine clearance. Priming volume, uptake volume, and ultrafiltration rate are unchanged. Residual blood volume remains small. Blood flow resistance is increased. The envelope therefore offers considerable advantages over conventional assembly for dialysis with a blood pump.     

Further Observations on Asymmetrical Solute Movement across Membranes

The permeability of frog skin under the influence of urea hyperosmolarity has been studied. Flux ratio asymmetry has been demonstrated again for tracer mannitol. The inhibitors DNP, CN^-, and ouabain have been used to eliminate active sodium transport and it was found that urea hyperosmolarity produces asymmetrical mannitol fluxes on frog skins having no short-circuit current. These findings suggest that flux ratio asymmetry is due to solute interaction and is unrelated to sodium transport. Studies with a synthetic membrane show clearly that bulk flow of fluid can produce a "solvent drag" effect and change flux ratios. When bulk flow is blocked and solute gradients allowed their full expression, then solute interaction "solute drag" is easily demonstrable in a synthetic system.     

Clinical Evaluation of a Disposable Artificial Kidney

The in-vivo performance of a new disposable parallel flow countercurrent type of artificial kidney has been compared with that of the modified four-layered Kiil dialyser. The dialysance of urea and endogenous creatinine in the former was significantly better than in the latter for similar blood flow rates, and, moreover, unlike the dialysance with the Kiil dialyser it continued to improve over 12 hours. Among 100 disposable artificial kidneys tested no failure occurred from blood leaks despite the use of high negative pressures in the dialysate compartment. No pyrogen reactions were observed.These new artificial kidneys were ready for use in less than one-seventh of the time taken to prepare the conventional Kiil dialyser. Other advantages are their low priming volumes, the lack of a pump in the blood line, and the reduced risk of infection.     

Transient solute diffusion in articular cartilage

The one-dimensional transient diffusion of glucose, inulin and dextran into adult bovine knee articular cartilage was determined for transport times of 1, 5, 15 and 60 min, and 4, 12, 24 and 48 h. The apparent diffusion coefficient and apparent interface partition coefficient were calculated from the concentration-depth profiles within the tissue using a theoretical model for non-steady state solute diffusion. The diffusion coefficient was found to decrease with both solute size and transport time. The partition coefficient also decreased with solute size but increased with transport time. Neither coefficient was dependent on normal tissue fluid or proteoglycan content variations.     

Uptake of a microbially-produced vitamin (B12) by soybean roots

Vitamin B12 (Cyanocobalamin) is one of the vitamins believed to be produced exclusively by microorganisms. Although soil is a rich source of vitamin B12, systematic study as to possible uptake of this vitamin by the plant roots is lacking. This study was undertaken to investigate, under water culture conditions, the uptake of [⁵⁷Co]-cyanocobalamin by soybean (Glycine max (L.) Merr.). In the range of 10 to 3200 mol L^–1, uptake of vitamin B12 was a linear function of the vitamin concentration in the nutrient solution. Depending on the vitamin concentration, 12 to 34% of the total absorbed vitamin was transported to the plant shoots, with proportionally more vitamin B12 transported at higher vitamin concentrations. Aeration of the rooting medium with nitrogen gas significantly increased the total uptake and the percentage of vitamin transported to the shoots. Addition of respiration inhibitor dinitrophenol to the nutrient solution did not affect the total uptake or the partitioning of the vitamin. Root temperature (5–30°C) did not affect the total uptake but significantly altered the partitioning of the vitamin between the roots and the shoots. Foliar-applied vitamin B12 was not translocated to any considerable degree to other plant parts, indicating that phloem transport does not contribute to the distribution of this vitamin within the plant. It is suggested that adding manure (which is rich in this vitamin) to the soil could increase soil and thus plant content of vitamin B12. This could be of importance in raising the intake of this vitamin by people living by choice or necessity on vegetarian diets who are usually threatened by vitamin B12 deficiency.     

Osmotic water flow in leaky epithelia

I review three currently unsolved and controversial problems in understanding solute-linked water transport in epithelia. 1. Values of osmotic water permeability (Posm) calculated from steady-state osmotic flow in response to a gradient of a probe molecule tend to be underestimates, because of three unstirred-layer (USL) effects. These are: dissipation of the probe's gradient by diffusion in USL's; reduction of the probe's gradient, due to the sweeping-away effect of water flow generated by the probe itself; and solute polarization (creation of an opposing gradient of an initially symmetrically distributed solute by the sweeping-away effect). These errors increase with probe permeability, USL thickness, Posm, and concentration ratio of symmetrically distributed solute to probe, and vary inversely as the fractional area available for water flow (e.g., lateral intercellular space width). The form of an osmotic transient, and the possibility of extracting a true Posm value from the transient, depend on the relative values of three time constants: those for solute diffusion in USL's, for solute polarization by water flow in USL's and for measuring water flow. Sweeping-away effects cause major underestimates (by one or more orders of magnitude) in epithelial Posm determinations, as shown by apparent streaming potentials during osmotic flow and by transiently reversed flows after removal of the proble. True Posm values for leaky epithelia probably exceed 10(-3) or 10(-2) cm/sec.osm. The necessary conditions for resolving osmotic transients are set out. 2. I illustrate the difficulties in deciding what fraction of transepithelial water flow is via the cells, and what fraction via the junctions. There is no existing method for answering this question. 3. Controversies about the validity, or need for modification, of the standing-gradient theory are discussed. Progress in this field requires new methods: to resolve osmotic transients; to separate transcellular and transjunctional water flows; and to measure solute concentrations in lateral intercellular spaces directly.     

Countercurrent exchange in the inner renal medulla: Vasa recta-descending limb system

A model of countercurrent exchange has been developed to simulate transport of salt, urea and water among vasa recta and descending limbs of the loop of Henle in the inner medulla. These vessels are abstracted as three concentric cylinders: the inne one represents descending vasa recta, the middle one represents ascending vasa recta and the outer one represents descending limbs. The capillary plexus, which connects the ascending and descending vasa recta, is modeled as a series of well-mixe compartments. Multicomponent transport equations for the sytem are derived from steady state mass balances and simple passive flux relations. The resulting set of nonlinear equations are solved numerically by an iterative Gauss-Seidel algorithm with under-relaxation. Simulations yield the salt and urea concentrations as well as volume flow rates in all tubes and compartments. The simulations indicate that solute concentrations can increase monotonically toward the papillae even if all transport processes within the exchanger are passive and source fluxes decrease monotonically toward the papillae.     

Molecular mechanisms of urea transport in plants

Urea is a soil nitrogen form available to plant roots and a secondary nitrogen metabolite liberated in plant cells. Based on growth complementation of yeast mutants and “in-silico analysis”, two plant families have been identified and partially characterized that mediate membrane transport of urea in heterologous expression systems. AtDUR3 is a single Arabidopsis gene belonging to the sodium solute symporter family that cotransports urea with protons at high affinity, while members of the tonoplast intrinsic protein (TIP) subfamily of aquaporins transport urea in a channel-like manner. The following review summarizes current knowledge on the membrane localization, energetization and regulation of these two types of urea transporters and discusses their possible physiological roles in planta.     

Two outer membrane transport systems for vitamin B12 in Salmonella typhimurium.

The involvement of an outer membrane transport component for vitamin B12 uptake in Salmonella typhimurium, analogous to the btuB product in Escherichia coli, was investigated. Mutants of S. typhimurium selected for resistance to bacteriophage BF23 carried mutations at the btuB locus (butBS) (formerly called bfe, at the analogous map position as the E. coli homolog) and were defective in high-affinity vitamin B12 uptake. The cloned E. coli btuB gene (btuBE) hybridized to S. typhimurium genomic DNA and restored vitamin B12 transport activity to S. typhimurium btuBS mutants. An Mr-60,000 protein in the S. typhimurium outer membrane was repressed by growth with vitamin B12 and was eliminated in a btuBS mutant. The btuBS product thus appears to play the same role in vitamin B12 transport by S. typhimurium as does the E. coli btuBE product. A second vitamin B12 transport system that is not present in E. coli was found by cloning a fragment of S. typhimurium DNA that complemented btuB mutants for vitamin B12 utilization. In addition to this plasmid with a 6-kilobase insert of S. typhimurium DNA, vitamin B12 utilization by E. coli btuB strains required the btuC and btuD products, necessary for transport across the cytoplasmic membrane, but not the btuE or tonB product. The plasmid conferred low levels of vitamin B12-binding and energy-dependent transport activity but not susceptibility to phage BF23 or utilization of dicyanocobinamide. The cloned S. typhimurium DNA encoding this new transport system did not hybridize to the btuBE gene or to E. coli chromosomal DNA and therefore does not carry the S. typhimurium btuBS locus. Increased production of an Mr -84,000 polypeptide associated with the outer membrane was seen. The new locus appears to be carried on the large plasmid in most S. typhimurium strains. Thus S. typhimurium possesses both high- and low-affinity systems for uptake of cobalamins across the outer membrane.     

TonB-Dependent Transporter FhuA in Planar Lipid Bilayers: Partial Exit of Its Plug from the Barrel

TonB-dependent transporters (TBDTs), which transport iron-chelating siderophores and vitamin B(12) across the outer membrane of Gram-negative bacteria, share a conserved architecture of a 22-stranded β-barrel with an amino-terminal plug domain occluding the barrel. We previously reported that we could induce TBDTs to reversibly open in planar lipid bilayers via the use of urea and that these channels were responsive to physiological concentrations of ligands. Here we report that in the presence of urea, trypsin can cleave the amino-terminal 67 residues of the plug of the TonB-dependent transporter FhuA, as assessed by gel shift and mass spectrometry assays. On the bilayer, trypsin treatment in the presence of urea resulted in the induced conductance no longer being reversed upon removal of urea, suggesting that urea opens intact FhuA channels by pulling the plug at least partly out of the barrel and that removal of the urea then allows reinsertion of the plug into the barrel. When expressed separately, the FhuA plug domain was found to be a mostly unfolded structure that was able to occlude isolated FhuA β-barrels inserted into the membrane. Thus, although folded in the barrel, the plug need not be folded upon exiting the barrel. The rate of insertion of the β-barrels into the membrane was tremendously increased in the presence of an osmotic gradient provided by either urea or glycerol. Negative staining electron microscopy showed that FhuA in a detergent solution formed vesicles, thus explaining why an osmotic gradient promoted the insertion of FhuA into membranes.     

Effect of cobalamin derivatives on DNA synthesis in cells of Propionibacterium freudenreichii subsp. shermanii

The increase of DNA-synthesis rate (according incorporation [8-14C]adenine) in B12-deficient cells Propionibacterium shermanii as a result of different cobalamines adding into the cell suspension including metoxyethyladenile analog of adenozilcobalamin and some components of vitamin B12 molecule has been found. The DNA-synthesis rate in B12-deficient cells is nearly twice lower as compared with one in B12-normal cells. Considerable stimulative effect (80-100%) was provided with coenzyme forms of cobalamin. The data confirm the participation of vitamin B12 in DNA-synthesis in Propionibacterium cells.