Enzyme stabilization by nano/microsized hybrid materials

Immobilization is a key technology for successful realization of enzyme‐based industrial processes, particularly for production of green and sustainable energy or chemicals from biomass‐derived catalytic conversion. Different methods to immobilize enzymes are critically reviewed. In principle, enzymes are immobilized via three major routes (i) binding to a support, (ii) encapsulation or entrapment, or (iii) cross‐linking (carrier free). As a result, immobilizing enzymes on certain supports can enhance storage and operational stability. In addition, recent breakthroughs in nano and hybrid technology have made various materials more affordable hosts for enzyme immobilization. This review discusses different approaches to improve enzyme stability in various materials such as nanoparticles, nanofibers, mesoporous materials, sol–gel silica, and alginate‐based microspheres. The advantages of stabilized enzyme systems are from its simple separation and ease recovery for reuse, while maintaining activity and selectivity. This review also considers the latest studies conducted on different enzymes immobilized on various support materials with immense potential for biosensor, antibiotic production, food industry, biodiesel production, and bioremediation, because stabilized enzyme systems are expected to be environmental friendly, inexpensive, and easy to use for enzyme‐based industrial applications.     

Enzyme immobilization via monoclonal antibodies I. Preparation of a highly active immobilized carboxypeptidase A

A novel method for the preparation of highly active immobilized enzymes is described. It is based on the binding of enzymes to suitable carriers via monoclonal antibodies, which bind to the enzyme with high affinity without affecting its catalytic activity. The applicability of the method forwarded has been illustrated by the preparation of two samples of highly active immobilized carboxypeptidase A (CPA) preparations as follows: A mouse monoclonal antibody (mAb 100)to CPA that binds to the enzyme with a high-affinity constant without affecting its catalytic activity was prepared, purified, and characterized. Covalent binding of this monoclonal antibody to Eupergit C (EC) or noncovalent binding to Sepharose-protein A (SPA)yielded the conjugated carriers EC-mAb and SPA.mAb, respectively, which reacted specifically with CPA to give the immobilized enzyme preparations EC-mAb.CPA and SPA.mAb.CPA displaying full catalytic activity and improved stability. At pH 7.5 and a temperature range of 4-37 degrees C an apparent binding constant of approximately 10(8)M(-1) characterizing the interaction of CPA with EC-mAb and SPA.mAb, was obtained. To compare the properties of EC-mAb.CPA and SPA.mAb.CPA with those of immobilized CPA preparations obtained by some representative techniques of covalent binding of the enzyme with a corresponding carrier, the following immobilized CPA preparations were obtained and their properties investigated: EC-CPA (I), a preparation obtained by direct binding of EC with CPA; EC-NH-GA-CPA (II), a derivative obtained by covalent binding of CPA to aminated EC via glutaraldehyde; EC-NH-Su-CPA (III), a CPA derivative obtained by binding the enzyme to aminated EC via a succinyl residue; and EC-HMD-GA-CPA (IV), obtained by binding the enzyme via glutaraldehyde to a hexamethylene diamine derivative of EC. Full enzymic activity for all of the bound enzyme, such as that recorded for the immobilized CPA preparations EC-mAb.CPA and SPA.mAb.CPA, was not detected in any of the insoluble covalently bound enzyme preparations.     

Characterization of monoclonal antidigoxin antibodies immobilized to a solid support

A high-affinity monoclonal antidigoxin antibody, produced by somatic cell fusion, was amplified by the formation of ascites. Purification from ascites was accomplished by affinity chromatography by passing the ascites over a digitoxin-amine-agarose column. Affinity-purified antidigoxin antibody was coupled to a pellicular microbead at concentrations of 10, 25, 50, and 100 mg/g bead. The immobilized antibody was characterized for binding affinity, for specificity to other cardiac glycosides, and for binding capacity. There were no changes in the binding affinity observed for the immobilized antibody when compared to that of the antibody grown in culture media. Binding capacities for the immobilized antibody were decreased from calculated theoretical values. Saturating the microbead with increasing concentrations of antibody lowered the binding efficiency of the antibody from 32 to 22% of theoretical values. Attempts to improve the binding capacity by immobilizing antibodies to the microbead at the immunoglobulin carbohydrate by periodate oxidation were unsuccessful. These data demonstrate that antidrug antibodies immobilized on solid supports remain functional and may have the capability of removing drug from biological fluids passed over the support.     

Recent trends using natural polymeric nanofibers as supports for enzyme immobilization and catalysis

All the disciplines of science, especially biotechnology, have given continuous attention to the area of enzyme immobilization. However, the structural support made by material science intervention determines the performance of immobilized enzymes. Studies have proven that nanostructured supports can maintain better catalytic performance and improve immobilization efficiency. The recent trends in the application of nanofibers using natural polymers for enzyme immobilization have been addressed in this review article. A comprehensive survey about the immobilization strategies and their characteristics are highlighted. The natural polymers, e.g., chitin, chitosan, silk fibroin, gelatin, cellulose, and their blends with other synthetic polymers capable of immobilizing enzymes in their 1D nanofibrous form, are discussed. The multiple applications of enzymes immobilized on nanofibers in biocatalysis, biosensors, biofuels, antifouling, regenerative medicine, biomolecule degradation, etc.; some of these are discussed in this review article.     

Affinity chromatography and co-chromatography of bispecific monoclonal antibody immunoconjugates

Bispecific monoclonal antibodies (bsMAb) are unique macromolecules functioning as cross-linkers with two different predetermined binding specificities. A wide range of potential applications employing these probes can be envisioned in immunodiagnostics and immunotherapy. One of the major limitations for the use of bsMAbs produced by hybrid-hybridomas is the production of parental monospecific antibodies along with bsMAbs. Hence, the purification of desired bsMAb free from both parental mAbs and other possible promiscuous combinations is essential. Purification of antibodies is the single greatest obstacle in obtaining an immunoprobe with high specific activity. This review describes the affinity purification and affinity co-purification techniques for the separation of bsMAb as a pre-formed immune complex or as a pure species. The use of immobilized ligands is the basis of affinity chromatography. Affinity chromatography can be classified into three different categories depending on the properties of the immobilized ligand. The ligand-specific affinity chromatography is based on the extremely specific immobilized ligand, directed towards the protein or antibody of interest. Using a dual, sequential affinity chromatography, bsMAb can be purified from a mixture of bispecific and monospecific monoclonal antibodies with a ligand specific for each antibody. Thiophilic adsorption is a group-specific affinity method that can be successfully used to separate monospecific forms from bispecific species by salt gradient elution. Affinity co-chromatography offers a convenient one-step method for purification of bulk amounts of immunoconjugates for diagnostic applications by exploiting several dye-ligands known to bind certain enzymes. The same method could be potentially used for quality control and quality assurance purposes in industrial biotechnology.     

Oriented immobilization of biologically active proteins as a tool for revealing protein interactions and function

The advantages of oriented immobilization of biologically active proteins are good steric accessibilities of active binding sites and increased stability. This not only may help to increase the production of preparative procedures but is likely to promote current knowledge about how the living cells or tissues operate. Protein inactivation starts with the unfolding of the protein molecule by the contact of water with hydrophobic clusters located on the surface of protein molecules, which results in ice-like water structure. Reduction of the nonpolar surface area by the formation of a suitable biospecifc complex or by use of carbohydrate moieties thus may stabilize proteins. This review discusses oriented immobilization of antibodies by use of immobilized protein A or G. The section about oriented immobilization of proteins by use of their suitable antibodies covers immobilization of enzymes utilizing their adsorption on suitable immunosorbents prepared using monoclonal or polyclonal antibodies, preparation of bioaffinity adsorbent for the isolation of concanavalin A and immobilization of antibodies by use of antimouse immunoglobulin G, Fc-specific (i.e. specific towards the constant region of the molecule). In the further section immobilization of antibodies and enzymes through their carbohydrate moieties is described. Oriented immobilization of proteins can be also based on the use of boronate affinity gel or immobilized metal ion affinity chromatography technique. Biotin–avidin or streptavidin techniques are mostly used methods for oriented immobilization. Site-specific attachment of proteins to the surface of solid supports can be also achieved by enzyme, e.g., subtilisin, after introduction a single cysteine residue by site-directed mutagenesis.     

抗体固定化方法研究进展

在免疫分析和生物芯片中,抗原-抗体特异性结合被广泛应用,其中抗体的固定化是研发高效诊断和分离工具的关键环节。生物分子工程、材料化学与交联剂化学的进步极大地促进了抗体固定化技术的发展。 抗体可以通过物理吸附、共价偶联和亲和相互作用固定到不同类型的固相表面。 抗体固定化的目标是以一种正确的空间取向将抗体固定到固相表面,在完全保留抗体构象和活性的同时最大化抗原的结合能力,这对固相化抗体的分析性能至关重要。 对固定抗体到固相载体表面的各种最新方法进行了阐述,包括物理吸附法,通过羧基、氨基、巯基、糖基和点击化学的共价结合法以及基于生物亲和作用的固定法,并对固定化抗体的表征方法进行了归纳,最后对抗体固定化方法的发展方向进行了展望。     

Functional heterogeneity of monoclonal antibodies obtained using different screening assays

Two alternate screening methods have enabled the detection of monoclonal antibodies with different specificities toward the lysosomal enzyme alpha-mannosidase of Dictyostelium discoideum. Spleen/myeloma hybrid cell cultures were screened for antibody production by separate assays: an indirect enzyme-linked immunoadsorbent assay (ELISA) based on the antibody binding to enzyme adsorbed on plastic, and a direct assay of the antibodies' ability to precipitate enzyme activity with fixed Staphylococcus aureus cells (Pansorbin). Fourteen stable antibody-producing cell lines resulted from a single fusion; these fell into three distinct classes based on their screening characteristics. A group of eight were positive in both assays, and these immunoprecipitated a 140,000 Mr precursor form of alpha-mannosidase in addition to the 58,000 and 60,000 Mr mature enzyme subunits from [35S]methionine-labeled total secreted protein preparations. Two of the antibodies were positive only in the immunoprecipitation assay; these failed to precipitate the 140,000 Mr precursor. The third class consisted of four antibodies that were positive only in the ELISA method. These exclusively recognized an altered conformation of the enzyme (precursor and mature forms) that was immobilized either on plastic or on nitrocellulose paper. In addition, only members of this class were able to bind to immobilized fragments of protease-treated enzyme. The implications of these findings for the general design of monoclonal antibody screenings and for the alternative structures of this enzyme are discussed.     

Generation and epitope analysis of thyroid stimulating hormone-specific monoclonal antibodies for enzyme immunoassays

By using an improved hybridoma technique with a semisolid medium of methylcellulose for initial cloning, numerous high affinity monoclonal antibodies against human thyroid stimulating hormone (TSH) were generated. These antibodies were characterized with respect to their subunit and epitope specificity. Epitope analysis of antibodies specific to the beta-subunit of TSH was performed by a sandwich pairing procedure. Based on the results of this analysis, it was concluded that there are four distinct TSH-specific epitopes on the beta-subunit of TSH; these are designated a, b, c, and ab. The five antibodies binding to epitopes a, b, and c are not mutually exclusive. However, the antibody binding to epitope ab prevents further binding of other antibodies to epitope a or b, but not to epitope c. This epitope analysis enabled us to combine three high affinity monoclonal antibodies, each of which reacts with epitopes a, b, and c, respectively, in a typical sandwich enzyme immunoassay. One was immobilized on polystyrene beads and the other two were conjugated with horseradish peroxidase and served as the second antibodies. This enzyme immunoassay can be performed within 90 min and with a minimum sensitivity of 0.2-0.3 microIU/ml.     

A comparative study of protein immobilization techniques for optical immunosensors.

This paper presents the results of a study of a number of antibody immobilization techniques for application to optical immunosensors. In particular, well-known methods such as covalent binding and physical adsorption have been extended to the Langmiur-Blodgett method in an attempt to improve the density and possibly the uniformity of orientation of monoclonal antibodies on an optical surface. The surface density of active immobilized antibodies was determined from enzyme immunoassay and their thickness and refractive index were deduced from ellipsometry. It is shown that, although high surface densities (500 ng/cm2) of antibody can be obtained, the major obstacle to the detection of low concentrations of antigens or haptens is the non-specific binding of foreign molecules to the sensing surface.     

Monoclonal antibodies to three phospholipase C isozymes from bovine brain

Murine hybridoma cell lines secreting antibodies against the three bovine isozymes of phosphoinositide-specific phospholipase C (PLC) were established: 6, 23, and 12 lines were obtained for PLC-I (150 kDa), PLC-II (145 kDa), and PLC-III (85 kDa), respectively. The antibodies were purified from ascites fluid, and their properties were studied in detail. All the antibodies cross-reacted with their corresponding PLC enzymes, but not with the other two isozymes, suggesting that the three enzymes contain very different antigenic determinants. The six antibodies elicited by bovine PLC-I also cross-reacted with human and rat enzyme, whereas three each from anti-PLC-II antibodies and anti-PLC-III antibodies did not react with the enzymes from different species. Each antibody exerts different effects on the phosphatidylinositol-hydrolyzing activity of PLC. The most inhibitory antibody for either isozyme PLC-I or PLC-II exhibits 80% inhibition, whereas no more than 20% inhibition was observed for the anti-PLC-III antibodies. Purified PLC-I frequently contains catalytically active 140- and 100-kDa forms and an inactive 41-kDa protein in addition to the intact 150-kDa form, probably due to its high sensitivity to an unidentified endogenous protease. The five anti-PLC-I antibodies which bind to the denatured 150-kDa polypeptide also recognized the 140-kDa form, whereas only three cross-reacted with the 100-kDa form, and the remaining two bound to the 41-kDa protein. Competitive binding studies with intact PLC enzymes and Western blot experiments with proteolytic digests revealed that the 6 anti-PLC-I, 23 anti-PLC-II, and 12 anti-PLC-III antibodies bind at least five, six, and seven different epitopes on PLC-I, PLC-II, and PLC-III, respectively. The fact that these monoclonal antibodies bind to different epitopes on the same enzyme allowed one to develop a highly specific and sensitive tandem radioimmunoassay for quantitating PLC-I, PLC-II, and PLC-III. The principle of the assay is that binding of an 125I-labeled antibody to the antigen immobilized by another antibody at a distinctive binding site is proportional to the amount of antigen present. By using this method, PLC-I, PLC-II, and PLC-III could be measured quantitatively in the presence of other proteins, detergents, lipids, polyanions, and metal ions, all of which greatly affect the activity of PLC enzymes.     

Structural similarities among enzyme pterin binding sites as demonstrated by a monoclonal anti-idiotypic antibody

BALB/c mice were immunized with a synthetic co-factor of the aromatic amino acid hydroxylases, 6,7-dimethyl-5,6,7,8-tetrahydropterin, conjugated to albumin. Hybridoma cell lines isolated from the immunized mice secreted monoclonal antibodies reacting specifically with the pterin molecule and monoclonal antibodies which were found to bind phenylalanine hydroxylase. Several lines of evidence were consistent with the anti-phenylalanine hydroxylase antibodies being anti-idiotype antibodies mimicking the pterin molecule and binding to the pterin binding site of phenylalanine hydroxylase. (a) An anti-idiotype monoclonal antibody, NS7, when reimmunized into mice produced anti-pterin antibodies consistent with NS7 being an internal image anti-idiotypic antibody. (b) NS7 antibody was prevented from binding to phenylalanine hydroxylase when a competitive inhibitor of phenylalanine hydroxylase enzyme activity, 6,7-dimethyl-7,8-dihydropterin, was bound to phenylalanine hydroxylase. (c) NS7 antibody was shown to bind to a wide range of pterin-requiring enzymes: phenylalanine, tyrosine and tryptophan hydroxylases, dihydropteridine reductase, dihydrofolate reductase, and sepiapterin reductase. Thus the NS7 antibody has successfully mimicked a common portion of the pterin cofactors utilized by these enzymes and demonstrated structure homology in their pterin binding sites despite their diverse function and little amino acid sequence homology except among the three aromatic amino acid hydroxylases.     

Hydrophobic salt-modified Nafion for enzyme immobilization and stabilization

Over the last decade, there has been a wealth of application for immobilized and stabilized enzymes including biocatalysis, biosensors, and biofuel cells. In most bioelectrochemical applications, enzymes or organelles are immobilized onto an electrode surface with the use of some type of polymer matrix. This polymer scaffold should keep the enzymes stable and allow for the facile diffusion of molecules and ions in and out of the matrix. Most polymers used for this type of immobilization are based on polyamines or polyalcohols - polymers that mimic the natural environment of the enzymes that they encapsulate and stabilize the enzyme through hydrogen or ionic bonding. Another method for stabilizing enzymes involves the use of micelles, which contain hydrophobic regions that can encapsulate and stabilize enzymes. In particular, the Minteer group has developed a micellar polymer based on commercially available Nafion. Nafion itself is a micellar polymer that allows for the channel-assisted diffusion of protons and other small cations, but the micelles and channels are extremely small and the polymer is very acidic due to sulfonic acid side chains, which is unfavorable for enzyme immobilization. However, when Nafion is mixed with an excess of hydrophobic alkyl ammonium salts such as tetrabutylammonium bromide (TBAB), the quaternary ammonium cations replace the protons and become the counter ions to the sulfonate groups on the polymer side chains (Figure 1). This results in larger micelles and channels within the polymer that allow for the diffusion of large substrates and ions that are necessary for enzymatic function such as nicotinamide adenine dinucleotide (NAD). This modified Nafion polymer has been used to immobilize many different types of enzymes as well as mitochondria for use in biosensors and biofuel cells. This paper describes a novel procedure for making this micellar polymer enzyme immobilization membrane that can stabilize enzymes. The synthesis of the micellar enzyme immobilization membrane, the procedure for immobilizing enzymes within the membrane, and the assays for studying enzymatic specific activity of the immobilized enzyme are detailed below.     

Force probe measurements of antibody-antigen interactions

The surface force apparatus has been used to quantify directly the forces that govern the interactions between proteins and ligands. In this work, we describe the measured interactions between the antigen fluorescein and the Fab' fragment of the monoclonal 4-4-20 anti-fluorescyl IgG antibody. Here we first describe the use of the surface force apparatus to demonstrate directly the impact of the charge composition in the region of the antibody binding site on the antibody interactions. Several approaches are described for immobilizing antigens, antibodies, and proteins in general for direct force measurements. The measured force profiles presented are accompanied by an extensive discussion of protocols used to analyze the force-distance curves and to interpret them in terms of the antibody structure. In addition to long-range electrostatic forces, we also consider short-range forces that can affect the strength of adhesion between the Fab' and immobilized fluorescein. The latter investigations demonstrate the influence of interfacial properties on the recognition of surface-bound antigens.     

Renewable enzyme reactors based on beds of artificial gel antibodies

A novel approach is described for the synthesis of beds for enzyme reactors. The method is based on the use of artificial antibodies in the form of polyacrylamide gel particles with diameters around 0.1–0.3 mm. These gel particles mimic protein antibodies, raised in experimental animals, in the sense that they selectively recognize and adsorb only the protein present during the preparation of the “antibodies”. The gel antibodies have several advantages over conventional protein antibodies, which can be taken advantage of in the design of enzyme reactors; for instance, if upon prolonged use the immobilized enzyme loses its activity it can easily be replaced by an active enzyme, which is not possible when the enzyme is immobilized via a conventional protein antibody (a new bed with immobilized protein antibodies must be prepared); and equally or more remarkable: the enzyme can be applied in the form of a non-purified extract since the selectivity of the artificial gel antibodies is so high that they will “fish-out” the enzyme, but no other proteins in the extract. In addition, no preconcentration of the enzyme solution is required prior to the immobilization, since the enzyme is enriched at the top of the column upon the application. These unique properties make enzyme reactors based on artificial gel antibodies very attractive, also in process chromatography. The potential application range of the artificial gel antibodies is enormous since the same method for their synthesis can be used independent of the structure and the size of the “antigen”; for instance, renewable biosensors based on gel antibodies for the selective detection of protein biomarkers, as well as pathogenic viruses, bacteria, and spores (for instance Anthrax) should not be difficult to design.     

Enzyme kinetic assays with surface plasmon resonance (BIAcore) based on competition between enzyme and creatinine antibody

A procedure is described which allows the characterization of enzyme by a hybrid approach using an enzyme and an antibody. The presented method is related to the affinity determination of antibodies by the 'affinity in solution' procedure for BlAcore. The antibody is used as an indicator for the concentration of substrate, which is also the antigen. A mixture of enzyme, substrate and antibody is incubated, and an aliquot of this solution is injected periodically into a flowcell containing immobilized substrate, which is bound by the antibody, but not cleaved by the enzyme. The chosen initial concentration of substrate inhibits the binding of antibody to the immobilized substrate by 90%. During the enzymatic reaction, increased amounts of antibody bind to the surface, as the substrate concentration is decreased. With this method, the cleavage of creatinine with creatinine iminohydrolase (6 mU/ml) was monitored for up to 11 h. A recently developed monoclonal antibody against creatinine was used as the indicating protein. For the calculation of enzyme activity, the signals were compared with a calibration curve for inhibition of antibody binding to the chip by creatinine in solution.     

Application of magnetic nanoparticles in smart enzyme immobilization

Immobilization of enzymes enhances their properties for efficient utilization in industrial processes. Magnetic nanoparticles, due to their high surface area, large surface-to-volume ratio and easy separation under external magnetic fields, are highly valued. Significant progress has been made to develop new catalytic systems that are immobilized onto magnetic nanocarriers. This review provides an overview of recent developments in enzyme immobilization and stabilization protocols using this technology. The current applications of immobilized enzymes based on magnetic nanoparticles are summarized and future growth prospects are discussed. Recommendations are also given for areas of future research.     

Integrating enzyme immobilization and protein engineering: An alternative path for the development of novel and improved industrial biocatalysts

Enzyme immobilization often achieves reusable biocatalysts with improved operational stability and solvent resistance. However, these modifications are generally associated with a decrease in activity or detrimental modifications in catalytic properties. On the other hand, protein engineering aims to generate enzymes with increased performance at specific conditions by means of genetic manipulation, directed evolution and rational design. However, the achieved biocatalysts are generally generated as soluble enzymes, ?thus not reusable- and their performance under real operational conditions is uncertain.Combined protein engineering and enzyme immobilization approaches have been employed as parallel or consecutive strategies for improving an enzyme of interest. Recent reports show efforts on simultaneously improving both enzymatic and immobilization components through genetic modification of enzymes and optimizing binding chemistry for site-specific and oriented immobilization. Nonetheless, enzyme engineering and immobilization are usually performed as separate workflows to achieve improved biocatalysts.In this review, we summarize and discuss recent research aiming to integrate enzyme immobilization and protein engineering and propose strategies to further converge protein engineering and enzyme immobilization efforts into a novel “immobilized biocatalyst engineering” research field. We believe that through the integration of both enzyme engineering and enzyme immobilization strategies, novel biocatalysts can be obtained, not only as the sum of independently improved intrinsic and operational properties of enzymes, but ultimately tailored specifically for increased performance as immobilized biocatalysts, potentially paving the way for a qualitative jump in the development of efficient, stable biocatalysts with greater real-world potential in challenging bioprocess applications.     

Emerging trends in the synthesis and improvement of hapten-specific recombinant antibodies

A key requirement for successful immunotherapeutic and immunodiagnostic applications is the availability of antibodies with high affinity and specificity. In the past, polyclonal antibodies from hyperimmunized animals or monoclonal antibodies from hybridoma cell lines were used extensively and profitably in medicine and immunotechnology. Antibody-based diagnostics, such as immunoassays, are also widely accepted because of their high sensitivity and ease of use as compared to conventional chromatographic techniques. While immunoassays have been used to monitor organic chemical contaminants such as pesticides, food preservatives, antibiotics in agricultural and food industries, hapten-specific antibodies with the desired affinity and specificity are generally difficult to obtain. With the advent of recombinant DNA technology, antibody genes can be amplified and selected through phage display, cell surface display, or cell-free display systems. A particularly useful feature common to all these display systems is the linking of the phenotype and genotype of antibodies during selection. This allows easy co-selection of the desired antibodies and their encoding genes based on the binding characteristics of the displayed antibodies. The selected antibody DNA can be further manipulated for high-level expression, post-translation modification, and/or affinity and specificity improvement to suit their particular applications. Several hapten-specific antibodies, which were successfully selected and engineered to high specificity and affinity using display technologies, have been found to be amenable to conventional immunoassay development. In this review, we will examine different formats of immunoassays designed for hapten identification and various display technologies available for antibody selection and improvement.     

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.