Bioartificial kidney. I. Theoretical analysis of convective flow in hollow fiber modules: application to a bioartificial hemofilter

Analytical expressions describing convective flow in a continuous arteriovenous hollow fiber hemofilter were developed. In the lumen of the hollow fiber membrane, existing analytical expressions were applied to describe velocity profiles and pressure. For flow in the shell (the extracapillary space separating the fibers), analytical expressions for the radial and axial velocity profiles and pressure distribution were derived by first finding the stream function. The expressions are based on a similarity solution. Previous analyses of ultrafiltration have either ignored osmotic pressure or assumed constant shell pressure. In this paper, the axial variation in lumen pressure, shell pressure, and osmotic pressure were accounted for. The predicted filtration rates agree well with the experimental results. This flow model is general enough to describe flow in hollow fiber membrane systems employed as bioreactors (e.g., for cell cultures and as bioartificial organs) and as separators (e.g., ultrafiltration and microfiltration) operating in the open-shell mode. The results were applied to determine the design of an optimally functioning bioartificial hemofilter for use ex vivo or in vivo.     

Bioartificial kidney. II. A convective flow model of a hollow fiber bioartificial renal tubule

An existing model for volume transport in the rat proximal tubule was modified and applied to a bioartificial renal tubule. The predicted volume transport agrees well with experimental data. The volume transport model was coupled to the analytic solutions of flow in the bioartificial renal tubule bioreactor, operated in the open-shell mode with perfusion in both the lumen and surrounding shell. The results suggest that the performance of a multifiber bioreactor can be improved by controlling shell inlet conditions and fiber spacing. These results have important implications for the design and analysis not only for the bioartificial renal tubule bioreactor but also for the general case of hollow fiber bioreactors operated in the open-shell mode with perfusion in both the lumen and surrounding shell.     

A novel model of solute transport in a hollow-fiber bioartificial pancreas based on a finite element method

Extravascular bioartificial pancreas based on hollow fiber seems to be a promising treatment of diabetes mellitus. However, solutes mass-transport limitations in such a device could explain its lack of success. To determine critical device parameters, we have developed a novel tridimensional model based on finite element method for glucose, insulin, and oxygen diffusion around an islet of Langerhans encapsulated in a hollow-fiber section. A glucose ramp stimulation was applied outside the fiber and diffused to the islet. Concomitantly, a stationary oxygen partial pressure was applied outside the fiber, and determined local oxygen partial pressure on the islet environment. An insulin secretion model stimulated by a glucose concentration ramp and corrected by the local oxygen partial pressure was also implemented. Insulin secretion by the islet was thus computed as a response to glucose signal. The model predictions notably showed that the fiber radius had to be small enough to favor a fast response for insulin secretion and to ensure a maximal oxygen partial pressure in the islet environment. Besides the effect of fiber radius, a better islet oxygenation could be achieved by adjustments on the islet density, i.e., on the fiber length dedicated to a single islet. These hints should allow the future proposal of an optimal design for an implantable bioartificial pancreas.     

Diffusive and convective transport through hollow fiber membranes for liver cell culture

For an efficient membrane bioreactor design, transport phenomena determining the overall mass flux of metabolites, catabolites, cell regulatory factors, and immune-related soluble factors, need to be clarified both experimentally and theoretically. In this work, experiments and calculations aimed at discerning the simultaneous influence of both diffusive and convective mechanisms to the transport of metabolites. In particular, the transmembrane mass flux of glucose, bovine serum albumin (BSA), APO-transferrin, immunoglobulin G, and ammonia was experimentally measured, under pressure and concentration gradients, through high-flux microporous hydrophilic poly-ether-sulphone (PES-HFMs) and poly-sulphone hollow fiber membranes (PS-HFMs). These data were analyzed by means of a model based on the mechanism of capillary pore diffusion, assuming that solute spherical molecules pass through an array of solvent-filled cylindrical pores with a diffusive permeation corrected for friction and steric hindrances. Additionally, resistances to the mass transfer were taken into account. Convective permeation data were discussed in terms of morphological properties of the polymeric membranes, molecular Stokes radius, and solute-membrane interactions according to information given by contact angle measurements. The observed steady-state hydraulic permeance of PS-HFMs was 0.972 L/m2hmbar, about 15.6-fold lower than that measured for PES-HFMs (15.2 L/m2h); in general, PS-HFMs provided a significant hindrance to the transport of target species. Diffusion coefficients of metabolites were found to be similar to the corresponding values in water through PES-HFMs, but significantly reduced through PS-HFMs (D(Glucose)(Membrane)=2.8x10(-6)+/-0.6x10(-6)cm2/s, D(BSA)(Membrane)=6.4 x 10(-7)+/-1 x 10(-7)cm(/s, D(Apotransferrin)(Membrane)=2.3 x 10(-7)+/-0.25 x 10(-7)cm2/s).     

Evaluation of a hepatocyte-entrapment hollow fiber bioreactor: a potential bioartificial liver

We have developed a hepatocyte entrapment hollow fiber bioreactor for potential use as a bioartificial liver. Hepatocytes were entrapped in collagen gel inside the lumen of the hollow fibers. Medium was perfused through the intraluminal region after contraction of the hepatocyte-entrapment gel. Another medium stream, comparable to the patient's blood during clinical application, passed through the extracapillary space. Viability of hepatocytes remained high after 5 days as judged by the rate of oxygen uptake and viability staining. Urea and albumin synthetic activities were also sustained. Transmission electron microscopic examination demonstrated normal ultrastructural integrity of hepatocytes in such a bioreactor. With its sort-term, extracorporeal support of acute liver failure, the current bioreactor warrants further investigation. (c) 1993 John Wiley & Sons, Inc.     

Iontophoretic release and transport of alkaloids fromCatharanthus roseus cells in a ceramic hollow fiber reactor

Summary An iontophoretic device with a configuration similar to that of a single hollow fiber reactor was found to enhance the release and transport of intracellular alkaloids fromCatharanthus roseus cells. As the applied current increased from 1 to 2 milliamperes, the rate of release and transport of alkaloids almost doubled. Pretreatment of the cells with DMSO further enhanced the production.     

Specificity of the permissive effect of d-Glucose on insulin release in chicken pancreas

• 1.1. As previously shown, 14 mM d-glucose, a non-insulinotropic concentration in isolated chicken pancreas, permits an insulin release in response to d-glyceraldehyde, (d-GA; a glycolytic fuel) and l-leucine or α-ketoisocaproic acid (α-KIC) (non-glycolytic fuels), which alone are not initiators of insulin release in this species.
• 2.2. The “permissive” effect of d-glucose was also observed in the presence of d-mannose (which, as shown herein, is not insulinotropic alone).
• 3.3. The specificity of glucose for this “permissive” effect was, therefore, subsequently questioned in the presence of 10mM α-KIC by substituting various glycolytic and non-glycolytic fuels to glucose.
• 4.4. d-GA (at 5 and 15mM), d-mannose (30 and 50 mM), or the association of l-glutamine + l-asparagine permitted an insulin release in response to α-KIC.
• 5.5. The response was, however, delayed with d-GA, only occasionally with 50 mM d-mannose, and required high concentrations and was delayed in the presence of l-glutamine + l-asparagine as compared to that obtained with 14mM d-glucose + α-KIC.
• 6.6. In conclusion, the threshold of fuel-induced insulin release is much higher in the chicken than in mammals and this threshold is most efficiently lowered by glucose.

     

The effect of cyclic deformation and solute binding on solute transport in cartilage

Diffusive transport must play an important role in transporting nutrients into cartilage due to its avascular nature. Recent theoretical studies generally support the idea that cyclic loading enhances large molecule transport through advection. However, to date, reactive transport, i.e. the effects of solute binding, has not yet been taken into consideration in cyclically deformed cartilage. In the present study, we develop a reactive transport model to describe the potential role of binding of solute within cyclically deformed cartilage. Our results show that binding does have a significant effect on transport, particularly for the low IGF-I concentrations typical of synovial fluid. A dynamic loading regime of high strain magnitudes (up to 10%) in combination with high frequencies (e.g. 1 Hz) was seen to produce the most dramatic results with enhanced total uptake ratio as high as 25% averaged over the first 5h of cyclic loading.     

Analysis of ultrafiltration and mass transfer in a bioartificial pancreas

A bioartificial pancreas is an implantable device which contains insulin secreting cells (Langerhans islets), separated from the circulating blood by a semi-permeable membrane to avoid rejection. This paper describes the operation of such a device and evaluates the respective contributions of diffusion and ultrafiltration to the glucose and insulin mass transfer. It is shown that the pressure drop along the blood channel produces across the first half of the channel an ultrafiltration flux toward the islet compartment followed in the second half by an equal flux in reverse direction from islets to blood. The mass transfer analysis is carried out for an optimal geometry in which a U-shaped blood channel surrounds closely a very thin islet compartment formed by a folded flat membrane. A complete model of insulin release by this device is developed and is compared with in vitro data obtained with rats islets. Satisfactory kinetics is achieved with a polyacrylonitrile membrane used in hemodialysis. But the model shows that the membrane hydraulic permeability should be increased by a factor of 10 to significantly improve the performance.     

Perfluorocarbon facilitated O2 transport in a hepatic hollow fiber bioreactor

A mathematical model describing O₂ transport in a hepatic hollow fiber (HF) bioreactor supplemented with perfluorocarbons (PFCs) in the circulating cell culture media was developed to explore the potential of PFCs in properly oxygenating a bioartificial liver assist device (BLAD). The 2‐dimensional model is based on the geometry of a commercial HF bioreactor operated under steady‐state conditions. The O₂ transport model considers fluid motion of a homogeneous mixture of cell culture media and PFCs, and mass transport of dissolved O₂ in a single HF. Each HF consists of three distinct regions: (1) the lumen (conducts the homogeneous mixture of cell culture media and PFCs), (2) the membrane (physically separates the lumen from the extracapillary space (ECS), and (3) the ECS (hepatic cells reside in this compartment). In a single HF, dissolved O₂ is predominantly transported in the lumen via convection in the axial direction and via diffusion in the radial direction through the membrane and ECS. The resulting transport equations are solved using the finite element method. The calculated O₂ transfer flux showed that supplementation of the cell culture media with PFCs can significantly enhance O₂ transport to the ECS of the HF when compared with a control with no PFC supplementation. Moreover, the O₂ distribution and subsequent analysis of ECS zonation demonstrate that limited in vivo‐like O₂ gradients can be recapitulated with proper selection of the operational settings of the HF bioreactor. Taken together, this model can also be used to optimize the operating conditions for future BLAD development that aim to fully recapitulate the liver's varied functions. © 2009 American Institute of Chemical Engineers Biotechnol. Prog., 2009     

Model of oxygen transport limitations in hollow fiber bioreactors

Axial and radial oxygen depletion are believed to be critical scale-limiting factors in the design of cell culture hollow fiber bioreactors. A mathematical analysis of oxygen depletion has been performed in order to develop effectiveness factor plots to aid in the scaling of hollow fiber bioreactors with cells immobilized in the shell-side. Considerations of the lumen mass transport resistances and the axial gradients were added to previous analyses of this immobilization geometry. An order of magnitude analysis was used to evaluate the impact of the shell-side convective fluxes on the oxygen transport. A modified Thiele modulus and a lumen and membrane resistance factor have been derived from the model. Use of these terms in the effectiveness factor plots results in a considerable simplification of the presentation and use of the model. Design criteria such as fiber dimensions and spacing, reactor lengths, and recycle flow rates can be selected using these plots. Model predictions of the oxygen limitations were compared to experimental measurements of the axial cell distributions in a severely oxygen limited hollow fiber bioreactor. Despite considerable uncertainty in our parameters and nonidealities in hollow fiber geometry, the cell distribution correlated well with the modeling results.     

土壤优先水流及溶质优先迁移的研究

通过土壤原状土柱和填充土柱实验,研究了土壤优先水流的特征和非吸附性离子Br^-和NO3^-在土壤中的优先迁移。结果表明,土壤优先水流存在优先穿透、穿透曲线不对称性、偶向入渗和拖尾等特征,原状土柱中Br^-标记的优先水流在实验开始后24h出现穿透,穿透时的孔隙体积仅0.04,在原状土柱中以Br^-标记的土壤优先水流占土壤出流总量的26％,所引起的Br^-累积淋出量占总淋出量的86.7％,说明土壤优先水流虽只占出流总量较小的比例,却可造成较大比例的溶质迁移,优先水流可使NO3^－快速向下迁移,在仅1倍孔隙体积时,其出流中可收获投加量的11％,优先水流可使Br^-和NO3^-向土壤较深层次迁移的同时,发生径向扩散。     

Fluid flow and convective transport of solutes within the intervertebral disc

Previous experimental and analytical studies of solute transport in the intervertebral disc have demonstrated that for small molecules diffusive transport alone fulfils the nutritional needs of disc cells. It has been often suggested that fluid flow into and within the disc may enhance the transport of larger molecules. The goal of the study was to predict the influence of load-induced interstitial fluid flow on mass transport in the intervertebral disc.An iterative procedure was used to predict the convective transport of physiologically relevant molecules within the disc. An axisymmetric, poroelastic finite-element structural model of the disc was developed. The diurnal loading was divided into discrete time steps. At each time step, the fluid flow within the disc due to compression or swelling was calculated. A sequentially coupled diffusion/convection model was then employed to calculate solute transport, with a constant concentration of solute being provided at the vascularised endplates and outer annulus. Loading was simulated for a complete diurnal cycle, and the relative convective and diffusive transport was compared for solutes with molecular weights ranging from 400 Da to 40 kDa.Consistent with previous studies, fluid flow did not enhance the transport of low-weight solutes. During swelling, interstitial fluid flow increased the unidirectional penetration of large solutes by approximately 100%. Due to the bi-directional temporal nature of disc loading, however, the net effect of convective transport over a full diurnal cycle was more limited (30% increase). Further study is required to determine the significance of large solutes and the timing of their delivery for disc physiology.     

The effect of ventromedial hypothalamic nuclei destruction on somatostatin and insulin release from the isolated perfused rat pancreas

The effect of electrolytic lesions in the ventromedial hypothalamic nuclei (VMH) on somatostatin and insulin release was studied using the isolated perfused rat pancreas. Obesity gradually developed in the rats after placement of the VMH lesions, and fasting insulin levels determined immediately before the isolation of the pancreas were significantly higher than those in sham-operated controls. In the presence of 4.4 mM glucose, both perfusate somatostatin and insulin responses to arginine were significantly greater than in the controls, suggesting that VMH lesions cause not only hypersecretion of insulin but hypersecretion of somatostatin as well.     

Effect of the bonito insulin on the insulin release from monolayer culture of rat pancreas.

The effect of bonito insulin on insulin release was examined in the monolayer culture of rat pancreatic beta-cells. The beta-cells were preincubated for 5 to 20 hr with or without a small dose (100 microunits/ml) of bonito insulin in the medium containing 100 mg% glucose. And then, they were incubated in 300 mg% glucose alone or together with bonito insulin for 5 hr. There was no significant difference between the IRI release from these beta-cells with or without bonito insulin. The concentration of bonito insulin was augmented from 100 microunits/ml to 500, 1,000 and 2,000 microunits/ml. A significant inhibitory effect on the glucose-induced insulin release was observed only after the preincubation for 20 hr with 2,000 microunits/ml of bonito insulin.     

The effect of TGF alpha on intestinal solute transport.

The effect of transforming growth factor alpha (TGF alpha) and epidermal growth factor (EGF) on 3-O-methylglucose transport was examined in vitro under short-circuited conditions in stripped rabbit jejunum. Mucosal EGF, 60 ng/ml, stimulated a significant increase in net 3-O-methylglucose transport (Jnet 0.67 +/- 0.15 vs. 0.90 +/- 0.15 microEq/cm2/h; P less than 0.03; n = 6) due to an increased mucosal to serosal flux (Jms 1.2 +/- 0.2 vs. 1.5 +/- 0.2 microEq/cm2/h; P less than 0.03). In contrast, TGF alpha, when applied to both mucosal and serosal surfaces at concentrations of either 60 (n = 6) or 150 (n = 9) ng/ml had no effect on either mucosal to serosal (Jms) or net transport (Jnet) of 3-O-methylglucose. TGF alpha did induce a significant increase in the serosal to mucosal flux (Jsm 60 ng/ml 0.44 +/- 0.02 vs. 0.51 +/- 0.03, 150 ng/ml 0.55 +/- 0.03 vs. 0.64 +/- 0.05 microEq/cm2/h; P less than 0.05). When brush border surface area was examined after exposure to either 60 ng/ml TGF alpha or saline vehicle for 2 h in in vivo isolated jejunal loops no significant difference was found (control 53 +/- 1.9; n = 35 vs. TGF alpha 52 +/- 1.9 microns 2; n = 29). Bioactivity of transforming growth factor alpha was assessed by an gastric acid secretion bioassay and found to be intact. These data provide further evidence for separate and distinct functional roles for these peptides in some biological systems.     

The role of calcium in insulin release from the human fetal pancreas

Previous experiments have established that the human fetal pancreas is relatively unresponsive to glucose as regards insulin release, but will secrete this hormone when exposed to agents which increase levels of cAMP or which activate protein kinase C. The current experiments were designed to establish which role another major stimulus, calcium, had in the release of insulin from this organ. For this purpose, cultured explants of human fetal pancreas were exposed to stimuli either in static or dynamic stimulation. The data show that insulin release is enhanced in the presence of 10 mM Ca2+, as well as the calcium ionophores A23187 and ionomycin, the latter agent being effective only if extracellular Ca2+ was present. A biphasic response was seen for Ca2+ but only a second phase response for A23187. Voltage-dependent calcium channels were shown to be present by the ability of the calcium channel blocker, verapamil, to inhibit insulin release caused by an agent that depolarizes membranes, potassium. The essential role of extracellular calcium in the insulinogenic effect of agents which increase cAMP levels--theophylline--and which activate protein kinase C--12-O-tetradecanoylphorbol-13-acetate--was demonstrated by showing (a) partial inhibition of insulin secretion by calcium channel blockers, (b) no enhancement of insulin release in the absence of extracellular calcium and (c) greater enhancement of insulin release in the presence of the calcium channel activator BAY-K-8644, which caused no stimulation by itself. These data put into better perspective our understanding of the mechanisms involved in insulin release from the human fetal pancreas.(ABSTRACT TRUNCATED AT 250 WORDS)     

Theoretical study of flow,pressure and solute concentration in double membrane systems

A model system consisting of two rigidly held membranes in series was investigated through the application of the Kedem and Katchalsky thermodynamic single membrane flow equations. This analysis results in predictions of the steady state flow properties as well as values for the solute concentration and pressure of the internal compartment when the system is under the influence of a constant solute concentration or hydrostatic pressure gradient. It is demonstrated that although the flow properties and internal compartment pressure are complicated functions of the membrane permeability coefficients and driving gradient across the system, the relationships are greatly simplified by the explicit appearance of the internal compartment steady state solute concentration in the equations. It is shown that the steady state volume flow rate depends on the absolute value of the solute concentration in the external compartments, as well as the solute concentration gradient across the system. The properties of non-linear dependence of volume flow on concentration gradient, and rectification of volume flow are discussed and shown to be independent properties of the system. For the system under the influence of a solute concentration gradient, the internal compartment pressure can be greater or less than the ambient pressure, and depends mainly on the order in which the membranes are encountered by the volume flow. These properties are qualitatively correlated with certain available experimental observations in biological systems.