Optimal design of bio-hybrid systems with a hollow fiber scaffold: model analysis of oxygen diffusion/consumption

The oxygen distribution in various bio-hybrid systems composed of cellular tissue on an artificial scaffold was estimated by mathematically modeling the oxygen consumption and diffusion. Mathematical models were established for practical systems such as bio-hybrid artificial liver (BAL) and bio-hybrid blood vessels, and the calculated results were compared with corresponding experimental data. Analysis of a spherical organoid (“spheroid”) composed of hepatic cells suggested that the oxygen consumption rate in hepatocyte spheroids incubated in a BAL is one or two orders of magnitude larger than the total average value that had been calculated for various organs. A model was established for a BAL system on a scaffold of commercially available hollow fiber (typical inner and outer radii of 150 and 200 μm) to determine the optimal conditions under which the hepatocytes can be packed as closely as possible into the hollow fiber lumen while still maintaining viability without falling into oxygen deficiency. A model of bio-hybrid blood vessels formed by vascular endothelial cells incubated on the inner wall of a hollow fiber scaffold was used to estimate the maximum thickness of viable endothelial tissue under various conditions of outer partial oxygen pressure and different sizes and permeabilities of the hollow fiber scaffold. The model suggested that the oxygen supply becomes quite restricted when the hollow fiber membrane is thicker than 100 μm; the thickness of the endothelium in a 500 μm-thick hollow fiber membrane was estimated to be 7 μm at most, even when the membrane permeability was as large as that of the culture medium.     

Enhancing Cell Viability with Pulsating Flow in a Hollow Fiber Bioartificial Liver

A pulsating flow of medium was used to alleviate diffusion and transport limitations in a hollow fiber bioreactor containing a human hepatoblastoma cell line. The strategy is easy to implement but effective. The pulsating flow is introduced by a solenoid pinch valve at the outlet of the bioreactor and regulated by a timing circuit. In a permeability test, the system with pulsating flow had much less membrane fouling as compared to the control, a conventional hollow fiber unit. In hepatocyte culture test runs, the pulsating-flow bioreactor demonstrated the ability to maintain a higher cell viability. Histological sections indicated significantly smaller necrotic regions in the pulsating-flow bioreactor as compared to the conventional unit.     

Dual aerobic hollow-fiber bioreactor for cultivation of Streptomyces aureofaciens

Streptomyces aureofaciens (ATCC 12416c) was grown in the interstitial region formed by a parallel arrangement of three hollow silicone tubules contained within a microporous polypropylene hollow fiber. Liquid-soluble nutrients were supplied by diffusion across the polypropylene fiber to the interstitial cell-containing region whereas air or oxygen was provided by diffusion from the silicone tubule lumina to the cell mass. In this bioreactor, S. aureofaciens grew to high cell densities (greater than 10(11) cells/cm(3)) and the culture so-obtained continously synthesized the secondary metabolite tetracycline. The volumetric productivity of tetracycline based on the interstitial volume was 90 mug/ml/h and based on the total reactor volume was 5.5 mug/mL/h. The high surface area-to-volume ratio afforded by the cylindrical configuration together with spatially distinct conduits to continuously transport liquids and gases, each of which may be nutrients or products of biosynthesis, to or from a tissuelike cell mass provides an alternative to the conventional air- or oxygen-sparged fermentation vessel. High volumetric reactor productivities may be achieved by virute of the concentrated stationary cell mass and by the appropriate selection of fiber sizes and materials so as to ensure adequate supplies of liquid and gaseous substrates to, as well as removal of metabolites from, most cells in the culture. This reactor topology is quite general and may be adapted to most microbial as well as mammalian and plant cell systems.     

Urocanic acid production using whole cells immobilized in a hollow fiber reactor

The feasibility of using hollow fiber membrane dialyzers (C-DAK) for immobilization of microbial whole cells was investigated. The cells are located on the shell side of the dialyzer, while substrates and products are free to diffuse across the hollow fiber membranes. The biochemical reaction studied was the conversion of L -histidine to urocanic acid and catalyzed by L -histidine ammonia-lyase. C-DAK dialyzers containing a heat-treated suspension of Pseudomonas fluorescens ATCC 11299b (with L -histidine ammonia–lyase activity) were incorporated into constant volume recycle reactor systems for continuous product formation. A simple model successfully correlated the data and predicted performance. It was found that the reaction was not likely to be diffusion limited, and such a cell immobilization scheme is convenient and workable for continuous production of biochemicals.     

Evaluation of intrinsic immobilized kinetics in hollow fiber reactor systems.

Immobilized cell and enzyme hollow fiber reactors have been developed for a variety of biochemical and biomedical applications. Reported mathematical models for predicting substrate conversion in these reactors have been limited in accuracy because of the use of free-solution kinetic parameters. This paper describes a method for determining the intrinsic kinetics of enzymes immobilized in hollow fiber reactor systems using a mathematical model for diffusion and reaction in porous media and an optimization procedure to fit intrinsic kinetic parameters to experimental data. Two enzymes, a thermophilic beta-galactosidase that exhibits product inhibition and L-lysine alpha-oxidase, were used in the analysis. The intrinsic kinetic parameters show that immobilization enhanced the activity of the beta-galactosidase while decreasing the activity of L-lysine alpha-oxidase. Both immobilized enzymes had higher Km values than did the soluble enzyme, indicating less affinity for the substrate. These results are used to illustrate the significant improvement in the ability to predict substrate conversion in hollow fiber reactors.     

Enzymatic synthesis of UDP-GlcN by a two step hollow fiber enzyme reactor system

UDP-GlcN was synthesized from GlcN and UTP by a two step hollow fiber enzyme reactor method. In step 1, GlcN was converted to GlcN 6-P and then to GlcN 1-P by hexokinase and phosphoglucomutase, respectively, and UTP was used as the phosphate donor. In step 2, GlcN 1-P was converted to UDP-GlcN by UDP glucose pyrophosphorylase. All the enzymes required for the synthesis of UDP-GlcN were enclosed in hollow fiber bundles which allow for the free diffusion of substrates and products across the membranes to and from the enzymes, allow for the reutilization of the enzymes, and simplify the isolation of the product, UDP-GlcN. We show that both UTP and GlcN 6-P are inhibitors of the yeast UDPG pyrophosphorylase and therefore their concentrations must be regulated to obtain maximum yields of UDP-GlcN. The UDP-GlcN produced can be N-acetylated with [14C]acetic anhydride to produce UDP-[14C]GlcNAc. This method can also be used to synthesize [32P]UDP-GlcN and [32P]UDP-GlcNAc from [alpha-32P]UTP and GlcN 1-P.     

Kinetics studies in a continuous steady state hollow fiber membrane enzyme reactor

Porous hollow cellulose fibers have been used to separate a nonflowing enzyme solution of alkaline phosphatase from a continuous flow of substrate. The porosity of the hollow fiber membrane allows the substrate and product to diffuse freely through the membrane while restricting the permeation of the enzyme. The resulting “immobilized” enzyme system has been shown to behave as a continuous reactor—converting p-nitrophenylphosphate to p-nitrophenol. By varying the concentrations, flow rate, etc., either diffusion or enzyme kinetics can be studied. The continual influx of product and removal of substrate at steady state allows the study of kinetics of relatively short half-life enzymes and unstable systems.     

Protein fractionation using fast flow immobilized metal chelate affinity membranes

A new group-specific affinity membrane using metal chelates as ligands and inorganic glass hollow fiber microfiltration membranes as support matrices is developed and tested. The study focused on developing the optimum activation and coupling procedures to bind the chelating agent (iminodiacetic acid, IDA) to the surface of the microporous glass hollow fiber membrane and testing the resultant affinity membrane. Starting with three different glass surfaces, five modification reactions were evaluated. All the modified "active surfaces" were first tested for their protein adsorptive properties in batch mode with suspended microporous glass grains using model proteins with known binding characteristics with Cu-IDA systems. The metal loading capacities of the surfaces exhibiting favorable fractionation were then measured by atomic absorption spectroscopy.The results were compared with the results obtained with a commercial material used in immobilized metal affinity column chromatography. The protein binding characteristics of the hollow fiber affinity membranes were also evaluated under conditions of convective flow. This was performed by flowing single solute protein solutions through the microporous membrane at different flow rates. These results were then used to estimate the optimum loading and elution times for the process. A mathematical model incorporating radial diffusion was solved using a finite difference discretization method. Comparison between model predictions and experimental results was performed for four different proteins at one flow rate. These results suggested that the kinetics of adsorption was concentration dependent. Finally, the hollow fiber affinity membranes were challenged with two component mixtures to test their ability to fractionate mixed protein solutions. Efficient separation and good purity were obtained.The results presented here represent the development of a new fast flow affinity membrane process-immobilized metal affinity membranes (IMAM). (c) 1994 John Wiley & Sons, Inc.     

Membrane process for biological treatment of contaminated gas streams

A hollow fiber membrane bioreactor was investigated for control of air emissions of biodegradable volatile organic compounds (VOCs). In the membrane bioreactor, gases containing VOCs pass through the lumen of microporous hydrophobic hollow fiber membranes. Soluble compounds diffuse through the membrane pores and partition into a VOC degrading biofilm. The hollow fiber membranes serve as a support for the microbial population and provide a large surface area for VOC and oxygen mass transfer. Experiments were performed to investigate the effects of toluene loading rate, gas residence time, and liquid phase turbulence on toluene removal in a laboratory-scale membrane bioreactor. Initial acclimation of the microbial culture to toluene occurred over a period of nine days, after which a 70% removal efficiency was achieved at an inlet toluene concentration of 200 ppm and a gas residence time of 1.8 s (elimination capacity of 20 g m-3 min-1). At higher toluene loading rates, a maximum elimination capacity of 42 g m-3 min-1 was observed. In the absence of a biofilm (abiotic operation), mass transfer rates were found to increase with increasing liquid recirculation rates. Abiotic mass transfer coefficients could be estimated using a correlation of dimensionless parameters developed for heat transfer. Liquid phase recirculation rate had no effect on toluene removal when the biofilm was present, however. Three models of the reactor were created: a numeric model, a first-order flat sheet model, and a zero-order flat sheet model. Only the numeric model fit the data well, although removal predicted as a function of gas residence time disagreed slightly with that observed. A modification in the model to account for membrane phase resistance resulted in an underprediction of removal. Sensitivity analysis of the numeric model indicated that removal was a strong function of the liquid phase biomass density and biofilm diffusion coefficient, with diffusion rates below 10(-9) m2 s-1 resulting in decreased removal rates.     

Mass transfer limitations in diffusion-limited isotropic hollow fiber bioreactors

Diffusional mass transfer limitations in hollow fiber bioreactors – with densely packed whole cells in its extracapillary space to perform biotransformation reactions – have been studied theoretically using a steady-state diffusion and reaction model. Simple analytical expressions have been derived to calculate the radial and axial concentration profiles for zero- and first-order kinetics, as well as to plot effectiveness factor versus Thiele modulus plots for first-order kinetics. The influence of the magnitude of the effective diffusion coefficients, the thickness of the isotropic membrane as well as the size of the annular cell region have been assessed to optimise the reactor performance.     

Optimal NS0 cell growth in a hollow fiber bioreactor requires increased serum concentration or a cholesterol supplement on the cell side of the fiber

An NSO/GS cell line secreting a humanized antibody was routinely propagated in a T-flask using 2% serum. For scale-up of antibody production, this cell line was inoculated into a hollow fiber system using the same serum concentration. The metabolic activity increased for a few days in the hollow fiber system, but invariably the activity dropped dramatically as the cells died by day 7. A hollow fiber micro-bioreactor was used as a screening tool to examine possible reasons for cell death in the large-scale system. As seen in the hollow fiber system, cells died when 2% serum was used either on the cell side only or on both sides of the fiber in the micro-bioreactor. In contrast, the use of 20% serum on the cell side of the fiber and basal medium on the non-cell side resulted in good cell expansion at high viability. Regardless of the cell side serum concentration, no further growth enhancements were seen when up to 20% serum was placed on the non-cell side of the fiber. These results suggest that a serum component that does not readily cross the fiber is limiting cell growth in the hollow fiber bioreactors. The addition of a cholesterol-rich lipid supplement resulted in better cell growth in the micro-bioreactor, while the addition of other non-cholesterol lipid supplements resulted in no growth enhancement. The growth-enhancing properties of the cholesterol supplement were more pronounced at lower serum concentrations, suggesting that poor growth at low serum concentration was due to suboptimal cholesterol levels. When the cell side serum concentration was increased to 20% in the hollow fiber system, cells grew and filled the bioreactor, allowing a 39-day production run. These results demonstrate that this NSO cell line requires an increased cell side serum concentration for optimal growth and that this requirement is likely due to the inherent cholesterol dependency of this cell line.     

Operation and pressure distribution of immobilized cell hollow fiber bioreactors

It has been cited in the literature on hollow fiber systems that pressure gradients persist, and the transmembrane flux of the hollow fiber system is dependent on the pattern of the pressure gradients. The pattern can be used to its advantage in immobilized enzyme systems. However, with immobilized living cell systems, the pressure gradients lead to a nonuniform environment within the hollow fiber cartridge and not necessarily favorable results. This article provides pertinent pressure-drop data on hollow fiber cartridges which are in flow configurations typical of immobilized cell culture work. The results illuminate operational problems that may arise in the culture of either anchorage dependent or independent cells. Possible solutions with crossflow systems are suggested.     

Coupling of concanavalin A to cellulose hollow fibers for use in glucose affinity sensor

This article describes a method for the chemical immobilization of concanavalin A (Con A) on the inside wall of a single hollow cellulose fiber for use in glucose affinity sensor. Periodate oxidation of cellulose fiber followed by a spacer for Con A attachment was deemed to be the most optimal procedure for achieving the highest sensitivity of the sensor without compromising its physical integrity. The effects of variables like the duration of periodate oxidation and its concentration and pH of the spacer coupling step and its duration have been examined. The mechanical strength of the hollow fiber as well as its permeability to the analyte (glucose) have been evaluated prior to and after Con A coupling process.It has been demonstrated that Con A bound hollow fiber prepared according to the procedure outlined here can be successfully used to construct glucose affinity sensor for operation in the physiological range of glucose concentrations.     

Modeling the response time of an in vivo glucose affinity sensor

A mathematical model was developed to describe the dose-response relationship of an optical glucose sensor. The basis for glucose detection is the reversible competitive displacement of a ligand from a receptor protein with specific binding sites for certain carbohydrates. Detection of glucose is based on measurements of the change in fluorescent lifetime of the donor-labeled protein, as it binds to the acceptor-labeled ligand. The sensor was modeled as a hollow fiber membrane, permeable to glucose, which encapsulates a solution of the receptor protein and competing ligand. Model equations that describe the diffusion of glucose through the fiber membrane and the subsequent displacement reactions within the fiber lumen were solved numerically to predict the response time of the sensor following a step change in bulk glucose concentration. The incorporation of an external mass transfer boundary layer was found to increase the response time by a factor of 3.7 over the well-stirred case. On the basis of the results of a parametric study, the response time of the sensor was found to be most sensitive to the diffusion coefficient of glucose in the membrane. When compared to experimental response times for an intensity-based affinity sensor using Concanavalin A as the receptor protein and dextran as the competing ligand, the model predictions were found to be significantly shorter than those observed. The effect of the in vivo environment on the performance of the sensor was also investigated through the incorporation of a fibrotic capsule layer. The additional diffusional resistance offered by the capsular tissue resulted in a 5-fold increase in the response time of the sensor.     

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.     

Investigation of fluid flow patterns in a hollow fiber module using magnetic resonance velocity imaging

Summary Magnetic Resonance Imaging (MRI) was used to obtain new information about fluid flow patterns in hollow fiber reactors. Significant changes in inlet flow distribution were observed as a function of Reynolds number. Images taken at the tube bundle entrance and exit showed that maldistribution of flow persists throughout the module. Furthermore, the results suggest that individual fibers act in a mixed degree as feeders or collectors depending upon radial position. These effects must be considered when modelling or designing hollow fiber reactors.     

Protein-free human-human hybridoma cultures in an intercalated-spiral alternate-dead-ended hollow fiber bioreactor

Batch cell cultures of a human-human hybridoma line in a convective flow dominant intercalated-spiral altetnate-dead-ended hollow fiber are compared with those using conventional axial-flow hollow fiber bioreactors and a stirred-tank bioreactor. Relatively short-term fed-batch and perfusion cell cultures were also employed for the intercalated-spiral bioreactor. When operating conditions of a batch intercalated-spiral bioreactor were properly chosen, the cell growth and substrate consumption paralleled that of a batch stirred-tank culture. The results verified the premise of the intercalated-spiral hollow fiber bioreactor that nutrient transport limitations can be eliminated when the convective flux through the extracapillary space is sufficiently high.(c) John Wiley & Sons, Inc.     

Bioluminescence imaging of hollow fibers in living animals: its application in monitoring molecular pathways

We have applied noninvasive optical imaging technology to the in vivo hollow fiber assay, using tumor cell lines in which optical reporters are expressed in response to activation/inhibition of a specific molecular pathway. In vivo noninvasive imaging of molecular pathways in cells within hollow fibers enables a rapid and accurate evaluation of drug targets and provides useful insights to guide novel drug discovery. In this protocol we show, as an example, that a luciferase reporter, driven by the responsive element of nuclear factor NF-kappaB, was induced in cells within hollow fibers implanted in living mice, and a detailed procedure for in vivo bioluminescence imaging of hollow fibers is described. This approach can, in principle, be applied to image any molecular pathways of interest when appropriate reporter cells are generated. Hollow fiber encapsulation and implantation takes 2 d, and in vivo validation of reporter takes 1-2 weeks.     

Mass transfer in blood oxygenators using blood analogue fluids

Mass transfer correlations for hollow fiber blood oxygenators have been determined experimentally using Newtonian and non-Newtonian blood analogue fluids. The Newtonian fluids consisted of deionized water and glycerol/water mixtures. The non-Newtonian fluids were prepared by adding small amounts of xanthan gum to the Newtonian blood analogue fluids. The rheological behavior of the non-Newtonian blood analogue fluids was modeled using the power law. The diffusion of oxygen into and out of the Newtonian and non-Newtonian blood analogue fluids has been studied. The liquid stream flowed outside and across bundles of woven hollow fibers, while the gas stream flowed inside the fibers.     

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.