Reaction and diffusion in a gel membrane reactor containing immobilized cells

To investigate the effect of diffusional limitations and heterogeneous cell distribution in a gel-immobilized cell system, a gel membrane reactor has been constructed. The reactor consists essentially of a gel layer with immobilized cells, flanked by two well-mixed chambers. Through one chamber substrate is pumped, and this chamber is the equivalent of the outside of a spherical gel bead. The second closed measuring chamber contains a small quantity of liquid that can equilibrate with the inside surface of the membrane, eventually after a long transient. Analysis of the liquid in this chamber can give direct information on substrate and product concentrations at the gel surface, and is and indication of the situation in the center of a gel bead. The gel membrane reactor appears to be an excellent tool to study diffusion and reaction in a gel-containing immobilized cells. A mathematical model with time- and position-dependent cell concentration and diffusion coefficient is described. Experimental data show the effective diffusion coefficient of glucose in an alginate gel to decrease with yeast cell concentration. Moreover, kinetic parameters could be determined, using the mathematical model. Microscopic analysis confirmed the proliferation of the gel-entrapped microorganisms in the outer layer of the matrix, as predicted by the model. Potentially, this type of reactor has a clear potential to study the physiology of gel-immobilized cells. (c) 1992 John Wiley & Sons, Inc.     

Analysis of substrate protection of an immobilized glucose isomerase reactor

The effect of substrate protection on enzyme deactivation was studied in a differential bed and a packed bed reactor using a commercial immobilized glucose isomerase (Swetase, Nagase Co.). Experimental data obtained from differential bed reactor were analyzed based on Briggs-Haldane kinetics in which enzyme deactivation accompanying the protection of substrate was considered. The deactivation constant of the enzyme-substrate complex was found to be about half of that of the free enzyme. The mathematical analysis describing the performance of a packed bed reactor under the considerations of the effects of substrate protection, diffusion resistance, and enzyme deactivation was studied. The system equations for the packed bed reactor were solved using an orthogonal collocation method. The presence of substrate protection and the diffusion effect within the enzyme particles resulted in an axial variation of effectiveness factor, eta(D), along the length of the packed bed. The axial distribution profile of eta(D) was found to be dependent on the operation temperature, Based on the effect of substrate protection, a better substrate feed policy could be theoretically found for promoting productivity in long-term operation. (c) 1993 John Wiley & Sons, Inc.     

Modeling of a Catalyzed Reaction Using Lipase Immobilized in a Poly(vinyl alcohol) Membrane

A mathematical model for the hydrolysis reaction of p‐nitro phenol laurate catalyzed by a lipase immobilized in a membrane was developed. In an earlier study this model reaction was found to show very different reaction rates when it was performed in aqueous micellar solution with free enzyme and with membrane immobilized enzyme. It was assumed that a local accumulation of substrate in the membrane is responsible for the observed rate enhancement. The conversion of p‐nitro phenol ester within the membrane was modeled by considering a combination of the convective flow through poly(vinyl alcohol) membrane pores, concentration polarization of substrate containing micelles at the membrane surface and the kinetics of the reaction with free enzymes. It was demonstrated that the model offered a comprehensive understanding of the interaction of the involved phenomena. The modeling results are in good agreement with the experimental data from 10 runs with different enzyme and substrate concentrations. The substrate concentration at the membrane surface increased by up to a factor of 3 compared to the feed concentration. This effect explains the observed rate enhancement. Moreover, the model was used to determine the unknown parameters, i.e., the intrinsic retention and the mass transfer coefficient, by fitting the model to the experimental data. The model may also be used to calculate the optimum operating conditions and design parameters of such a reactor.     

Glucose oxidation in a dual hollow fiber bioreactor with a silicone tube oxygenator

A dual hollow fiber bioreactor, consisting of an outer silicone membrane for oxygen supply and an inner polyamide membrane for substrate permeation, was used as an immobilized enzyme reactor to carry out enzymatic glucose oxidation. Attaching a silicone tube oxygenator to provide an additional oxygen supply improved the conversion in glucose oxidation when the oxygen supply was rate-limiting. The reactor was operated in both diffusion and ultrafiltration modes. In the latter case, the conversion was much higher, but the stability of the immobilized enzyme was better maintained in the diffusion mode. As the inlet glucose concentration increased from 10mM to 500mM, the conversion decreased from 70 to 20%.     

Immobilized α-chymotrypsin: Pore diffusion control owing to pH gradients in the catalyst particles

The fast enzymatic hydrolysis of D ,L -phenylalanine methylester (DLE) to L -phenylalanine (LA) and D -phenylalanine methylester (DE) with immobilized α-chymotrypsin was chosen as a model reaction. Under the experimental conditions applied in the present investigations the pore diffusion is the rate-limiting step of this reaction owing to the pH gradient in the particles. The effectiveness of the catalyst is experimentally determined as a function of the substrate concentration based on measurements of the enzyme protein content of native and immobilized enzyme. The proteolytic reaction is theoretically treated by also using a pore diffusion model which takes into account the concentration gradients of substrate and product, pH- and enzyme activity profiles, as well as the change of buffer capacity of the solute in the catalyst particles. The model parameters were experimentally determined for the investigated system. It can be shown that conditions are possible for which the effectiveness of the catalyst exceeds unity.     

Enzymatic modification of vegetable protein: Immobilization of Penicillium duponti enzyme on reconstituted collagen and the use of the immobilized-enzyme complex for solubilizing vegetable protein in a recycle reactor

Penicillium duponti enzyme was immobilized on reconstituted collagen by macromolecular complication, impregnation, and covalent crosslinking techniques. The immobilization of the enzyme on collagen has a twofold purpose: (1) providing a protein microenvironment for the proteolytic enzyme; and (2) extending the useful life the enzyme once immobilized on the collagen matrix. Two types of collagen were used, one produced by the United States Department of Agriculture and the other produced by FMC. The USDA collagen contained unhydrolyzed telepeptide linkages and required pretreatment to reduce collagenaselike activity of the enzyme. Activity analysis of the immobilized enzyme complex showed that membranes with enzyme loading less than 10 mg enzyme/g of wet membrane in the reactor were dimensionally stable. The degree of crosslinking was an important parameter. Membranes with structural opening up to three times the initial dry thickness were found to be the maximum limit for controlled release of enzyme from the collagen membrane during enzymatic reaction. Higher activities and better stability of the enzyme in collagen membrane were found for covalent crosslinking of the enzyme to treated collagen films. The hydrolysis of soybean vegetable protein with the immobilized enzyme in a recycle reactor at enzyme loading of mg/g of wet membrane at 40°C, pH 3.4, produced 56.5% of soluble protein in 10h. The production is equivalent to 1.84 h total contact time between the substrate and the immobilized enzyme. The average productivity based on a stable enzyme activity and 20g of dry membrane was 329 mg of protein/g/mg of active enzyme immobilized. The productivity of the free enzyme in a batch reactor was 62.5 mg protein/h/mg enzyme.     

Active protein and substrate flow effects in a tubular immobilized invertase reactor

Investigations of invertase (EC 3.2.1.26) immobilized inside modified nylon tubes showed that between 4% and 20% (w/w) of the protein exposed to binding sites on the tube was immobilized. An enhanced activity consistent with enzyme purification during immobilization was also evident, suggesting that, in scaled-up commercial applications, nylon tube invertase would be a more economical converter of sucrose than the free enzyme. The quantity and specific activity of the immobilized protein were not stochiometrical with the amount used in the coupling solution and, in the system studied, a concentration of 2 mg ml^?1 was optimal. K_m and V_max values confirmed higher rates of immobilized invertase catalysis when the rates of substrate flow through the reactor were higher. Higher rates of substrate flow imply a shortened residence time in the reactor and would lower the fractional conversion per pass of the substrate, reducing the efficiency of the reactor in flow-through situations. Thus, these higher catalysis rates, attributable at the higher flow rates to a reduction of the diffusion barrier between enzyme and substrate, would not translate into improved economy in the commercial flow-through processes at which the reactor is aimed.     

Immobilized glucose oxidase–catalase and their deactivation in a differential-bed loop reactor

Glucose oxidase containing catalase was immobilized with a copolymer of phenylenediamine and glutaraldehyde on pumice and titania carrier to study the enzymatic oxidation of glucose in a differential-bed loop reactor. The reaction rate was found to be first order with respect to the concentration of limiting oxygen substrate, suggesting a strong external mass-transfer resistance for all the flow rates used. The partial pressure of oxygen was varied from 21.3 up to 202.6 kPa. The use of a differential-bed loop reactor for the determination of the active enzyme concentration in the catalyst with negligible internal pore diffusion resistance is shown. Catalyst deactivation was studied, especially with respect to the presence of catalase. It is believed that the hydrogen peroxide formed in the oxidation reaction deactivates catalase first; if an excess of catalase is present, the deactivation of glucose oxidase remains small. The mathematical model subsequently developed adequately describes the experimental results.     

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.     

Dynamic modeling of immobilized cell reactor: application to ethanol fermentation

A mathematical model has been developed for the unsteady-state operation of an immobilized cell reactor. The substrate solution flows through a mixed-flow reactor in which cells immobilized in gel beads are retained. The substrate diffuses from the external surface of the gel beads to some internal location where reaction occurs. The product diffuses from the gel beads into liquid medium which flows out of the reactor. The model combines simultaneous diffusion and reaction, as well as cell growth, and it can predict how the rates of substrate consumption, product formation, and cell growth vary with time and with initial conditions. Ethanol fermentation was chosen as a representative reaction in the immobilized cell reactor, and numerical calculations were carried out. Excellent agreement was observed between model predictions and experimental data available in the literature.     

Operational stability of immobilized d-glucose isomerase in a continuous feed stirred tank reactor

d-Glucose isomerization has been studied using immobilized cells of Streptomyces phaeochromogenes in a continuous feed stirred tank reactor (CSTR) where the external film diffusion resistance was negligible. Experiments conducted with various sizes of enzyme particles indicated that a strong internal diffusion resistance improved the apparent stability of these particles. The performance equations of the CSTR were constructed by associating the material balances for the inside porous support matrix with the bulk liquid phase, and enzyme deactivation was also taken into consideration. An iterative method together with the orthogonal collocation method is proposed for the evaluation of effectiveness factor and the substrate concentration profile within the enzyme particles. The numerical results offer an alternative analytical proof for the observation that under strong internal diffusion control the apparent operational stability of immobilized enzyme is improved.     

A general solution for the steady-state kinetics of immobilized enzyme systems

A power series solution is presented which describes the steady-state concentration profiles for substrate and product molecules in immobilized enzyme systems. Diffusional effects and product inhibition are incorporated into this model. The kinetic consequences of diffusion limitation and product inhibition for immobilized enzymes are discussed and are compared to kinetic behavior characteristic of other types of effects, such as substrate inhibition and substrate activation.     

Use of stable emulsion to improve stability, activity, and enantioselectivity of lipase immobilized in a membrane reactor

The enantiocatalytic performance of immobilized lipase in an emulsion membrane reactor using stable emulsion prepared by membrane emulsification technology was studied. The production of optical pure (S)-naproxen from racemic naproxen methyl ester was used as a model reaction system. The O/W emulsion, containing the substrate in the organic phase, was fed to the enzyme membrane reactor from shell-to-lumen. The enzyme was immobilized in the sponge layer (shell side) of capillary polyamide membrane with 50 kDa cut-off. The aqueous phase was able to permeate through the membrane while the microemulsion was retained by the thin selective layer. Therefore, the substrate was kept in the enzyme-loaded membrane while the water-soluble product was continuously removed from the reaction site. The results show that lipase maintained stable activity during the entire operation time (more than 250 h), showing an enantiomeric excess (96 +/- 2%) comparable to the free enzyme (98 +/- 1%) and much higher compared to similar lipase-loaded membrane reactors used in two-separate phase systems (90%). The results demonstrate that immobilized enzymes can achieve high stability as well as high catalytic activity and enantioselectivity.     

Investigation of concentration profiles inside operating biocatalytic sensors with scanning electrochemical microscopy (SECM)

Scanning electrochemical microscopy (SECM) with amperometric or potentiometric measuring tips was used to investigate biocatalytic reactions inside the enzyme layer of a biosensor during its operation. The well known glucose oxidase catalyzed oxidation of glucose has been selected for the studies. Local, instantaneous concentration of dissolved oxygen and hydrogen peroxide was studied observing the amperometric current while miniaturized potentiometric tip served for local pH measurements. Liquid enzyme layer immobilized with Cellophane membrane or cross linked polyacrilamide gel membrane containing entrapped enzyme served for biocatalytic media in the SECM imaging. Local maximum of H(2)O(2) and minimum of O(2) profiles were found at approximately 200 microm far from the substrate/enzyme layer boundary. From the experimental findings guidelines to design well functioning biocatalytic sensors could be concluded. The concentration profiles obtained with SECM techniques were compared with the results of simple model calculations carried out with the method of finite changes. Most of earlier made SECM studies dealing with enzyme reactions imaged the electrolyte being in contact with the immobilized enzyme. The data in our investigation, however, were collected inside the working catalytic layer.     

Synthesis of esters using a nylon-immobilized lipase in batch and continuous reactors.

Direct esterifications using a nylon-immobilized lipase from Candida cylindracea were carried out in batch and continuous-flow reactors. The immobilized enzyme was effective in catalyzing the synthesis of ethylpropionate, isoamylpropionate, and isoamylbutyrate. With ethanol dissolved in hexane as a substrate, the maximum initial esterification rate was 0.02 mole/(h x g of immobilized protein), but the enzyme was stable only when the substrate concentrations were lower than 0.2 M. With isoamyl alcohol in hexane as a substrate, esterification rates as high as 0.085 mole/(h x g of immobilized protein) were observed and the immobilized enzyme was stable over a much broader concentration range. However, in this case, the use of a solvent, such as hexane, was not necessary for esterification, and the enzyme could be employed in equimolar acid/alcohol mixtures. A packed-bed reactor was operated successfully for the continuous synthesis of esters. The reactor was stable for long periods of time, and the steady-state performance could be accurately predicted on the basis of batch reaction experiments.     

Degradation of ribonucleic acid by immobilized ribonuclease.

An immobilized enzyme (pancreatic ribonuclease bound to porous titania) was investigated for the degradation of purified yeast ribonucleic acid as a substrate. The immobilized enzyme is active and stable in the pH range 4--8. Dependence of enzymatic activity on ionic strength, pH, temperature, fluid flow rate, and substrate concentration were investigated. A cumulative fluid residence time of 6 sec is sufficient for 50% substrate conversion at 25 degrees C and pH 7.0. The critical flow rate (i.e., the fluid flow rate necessary to remove film diffusion resistance) approximately doubles with each 10 degree C rise in reaction temperature. The critical flow rates obtained in this study are about 40 times greater than those obtained for a similar study on immobilized glucose oxidase. Arrhenius plots gave activation energies of -9.6 and -7.1 kcal/g mol at pH 4.6 and 7.0, respectively. The work reported herein is a bench-scale investigation of an immobilized enzyme with primary emphasis on the mass transfer and kinetic characteristics of the system. The rapid reaction rates obtainable at relatively low temperatures offer a potential alternative method of purifying yeast single cell protein (SCP) with miminum loss of desired protein. The key questions are how such a system would react in a yeast homogenate, what conditions in such a system must be controlled, and what type of immobilized reactor should be utilized, if such further work continued to show promise.     

Immobilization of biocatalysts with bombyx mori silk fibroin by several kinds of physical treatment and its application to glucose sensors

Biocatalyst-immobilized Bombyx mori silk fibroin membrane was prepared. The insolubilization of the water-soluble membranes was performed by physical treatments only, i.e. stretching, compressing and standing under high humidity and methanol-immersion treatment, without any use ofcovalently binding reagent. All physical treatments performed were effective for the purpose of the immobilization of the enzymes in the membranes. The structural characterization of the glucose oxidase (GOD) immobilized membrane was performed in detail. The permeability of the substrate depends on the crystalline structure, i.e. the fraction of Silk I and Silk II of the membrane. The activity yield of the immobilized GOD was more than 80% of the value of free enzyme when 0–002% of the enzyme was entrapped in the membrane, but it decreased with increasing the concentration of the GOD in the membrane. This seems to result from diffusion limitation of the substrate. The pH and thermal stabilities of the immobilized enzyme were much improved, and were essentially independent of the methods of the immobilization. Development of the GOD or microorganism, Pseudomonas fluorescens immobilized silk fibroin membranes as glucose sensors are described.     

Hollow-fiber enzyme reactor operating under nonisothermal conditions

A hollow-fiber enzyme reactor, operating under isothermal and nonisothermal conditions, was built employing a polypropylene hollow fiber onto which beta-galactosidase was immobilized. Hexamethylenediamine and glutaraldehyde were used as spacer and coupling agent, respectively. Glucose production was studied as a function of temperature, substrate concentration, and size of the transmembrane temperature gradient. The actual average temperature differences across the polypropylene fiber, to which reference was done to evaluate the effect of the nonisothermal conditions, were calculated by means of a mathematical approach, which made it possible to know, using computer simulation, the radial and axial temperature profiles inside the bioreactor and across the membrane. Percent activity increases, proportional to the size of the temperature gradients, were found when the enzyme activities under nonisothermal conditions were compared to those measured under comparable isothermal conditions. Percent reductions of the production times, proportional to the applied temperature gradients, were also calculated. The advantage of employing nonisothermal bioreactors in biotechnological industrial process was discussed.     

Performance of a β-d-galactosidase hollow fibre reactor

β-d-Galactosidase was immobilized in a hollow fibre ultrafiltration module. The hydrolysis of 2-nitrophenyl β-d-galactopyranoside (ONPG) was significantly affected by enzyme loading, flow rate and substrate concentration. Pretreatment of hollow fibres with a protein was necessary to minimize enzyme inactivation. Residence time distribution studies indicated that the product of the reaction (ONP) was significantly adsorbed by the fibres, which resulted in the reactor taking 10–30 h to achieve steady-state. An equation based on Michaelis-Menten kinetics and a plug-flow model adequately described the performance of the reactor with regard to operating variables, even though some diffusion effects were observed.     

Determination of total and active immobilized enzyme distribution in porous solid supports

The total and active immobilized enzyme (IME) distributions in porous supports are studied both theoretically and experimentally. In order to determine experimentally the enzyme distribution profiles within a single particle, we construct a diffusion cell containing controlled-pore glass particles such that the cell would mimic a large pellet support. Our purpose is to study the interplay between the diffusion process within the interparticle void space and immobilization process in the controlled-pore glass particles onto the evolution of the (total and active) enzyme distributions. A mathematical model is developed to describe the interaction of various processes within the diffusion cell. The immobilized enzymes are determined for a system of trypsin and controlled-pore glass particles. The total amount of enzymes are determined by the amino acid analysis, and the active fraction is obtained by an active-site titration. The experimentally measured total IME profiles compare very well with that predicted by the model. The determined active enzyme profile is found to be nonuniform one, and it represents about 40% of the total enzyme immobilized in the support particles.