Changes in the enzymatic hydrolysis rate of Avicel cellulose with conversion

The slow down in enzymatic hydrolysis of cellulose with conversion has often been attributed to declining reactivity of the substrate as the more easily reacted material is thought to be consumed preferentially. To better understand the cause of this phenomenon, the enzymatic reaction of the nearly pure cellulose in Avicel was interrupted over the course of nearly complete hydrolysis. Then, the solids were treated with proteinase to degrade the cellulase enzymes remaining on the solid surface, followed by proteinase inhibitors to inactive the proteinase and successive washing with water, 1.0 M NaCl solution, and water. Next, fresh cellulase and buffer were added to the solids to restart hydrolysis. The rate of cellulose hydrolysis, expressed as a percent of substrate remaining at that time, was approximately constant over a wide range of conversions for restart experiments but declined continually with conversion for uninterrupted hydrolysis. Furthermore, the cellulose hydrolysis rate per adsorbed enzyme was approximately constant for the restart procedure but declined with conversion when enzymes were left to react. Thus, the drop off in reaction rate for uninterrupted cellulose digestion by enzymes could not be attributed to changes in substrate reactivity, suggesting that other effects such as enzymes getting "stuck" or otherwise slowing down may be responsible.     

Enzyme recovery in high-solids enzymatic hydrolysis of steam-pretreated willow: Requirements for the enzyme composition

In order to reduce the total enzyme consumption in high-solids static hydrolysis of nonwashed steam-exploded willowSalix caprea by mixed cellulase ofTrichoderma reesei + Aspergillus foetidus, two different approaches were proposed. In the first case, the enzyme activity adsorbed on residual solids after extended hydrolysis was used for hydrolysis of the newly added substrate. The initial mixing of fresh and hydrolyzed substrates was sufficient for the adsorbed enzyme redistribution and conversion of the new substrate portion, and constant mechanical stirring was not required. Feeding of two additional portions of the exploded hardwood adjusted to pH 4 with dry caustic into the reactor with simultaneous replacement of accumulated sugars with fresh buffer (pH 4.5) resulted, on average, in a 90% conversion of cellulose at the final enzyme loading of 8 IFPU per g ODM substrate, an average sugar concentration of 12%, and a glucose/xylose ratio of 5 : 1. In the second approach, weakly adsorbed cellulase fractions were used for static high-solids hydrolysis followed by their ultrafiltration recovery from the resultant sugar syrup. In contrast to the initial cellulase mixture whose residual activity in a syrup did not exceed 5–10% at the end of hydrolysis (48 h), up to 60% of weakly adsorbed enzyme fraction could be separated from sugar syrups by ultrafiltration and then reused. Weakly adsorbed enzymes displayed a hydrolysis efficiency of not less than 80% per IFPU enzyme consumed in extended hydrolysis of pretreated willow as compared to the original enzyme mixture. An electrophoretic study of the weakly adsorbed enzyme fraction identifiedT. reesei cellobiohydrolase II as the predominant component, whereas clear domination ofT. reesei cellobiohydrolase I was found by electrophoresis of proteins tightly bound to residual hydrolysis solids. Deceased     

Enzyme regeneration during hydrolysis of steam-pretreated willow and requirement for cellulase complex composition

In order to reduce the total enzyme consumption in high-solids static hydrolysis of nonwashed steam-exploded willow Salix caprea by mixed cellulase of Trichoderma reesei + Aspergillus foetidus, two different approaches were proposed. In the first case, the enzyme activity adsorbed on residual solids after extended hydrolysis was used for hydrolysis of the newly added substrate. The initial mixing of fresh and hydrolyzed substrates was sufficient for the adsorbed enzyme redistribution and conversion of the new substrate portion, and permanent mechanical stirring was not required. Feeding of two additional portions of the exploded hardwood adjusted to pH 4 with dry caustic into the reactor with simultaneous replacement of accumulated sugars with fresh buffer (pH 4.5) resulted, on average, in a 90% conversion of cellulose at the final enzyme loading 8 IFPU per g ODM substrate, an average sugar concentration of 12%, and a glucose/xylose ratio of 5:1. In the second approach, weakly adsorbed cellulase fractions were used for static high-solids hydrolysis followed by their ultrafiltration recovery from the resultant sugar syrup. In contrast to the initial cellulase mixture whose residual activity in a syrup did not exceed 5-10% at the end of hydrolysis (48 h), up to 60% of weakly adsorbed enzyme fraction could be separated from sugar syrups by ultrafiltration and then reused. Weakly adsorbed enzymes displayed a hydrolysis efficiency of not less than 80% per IFPU enzyme consumed in extended hydrolysis of pretreated willow as compared to the original enzyme mixture. An electrophoretic study of the weakly adsorbed enzyme fraction identified T. reesei cellobiohydrolase II as the predominant component, whereas clear domination of T. reesei cellobiohydrolase I was found by electrophoresis of proteins tightly bound to hydrolysis residual solids.     

Kinetics of the enzymatic hydrolysis of cellulose: 2. A mathematical model for the process in a plug-flow column reactor

The kinetics of enzymatic cellulose hydrolysis in a plug-flow column reactor catalysed by cellulases [see 1,4-(1,3;1,4)-β-d-glucan 4-glucanohydrolase, EC 3.2.1.4] from Trichoderma longibrachiatum adsorbed on cellulose surface have been studied. The maximum substrate conversion achieved was 90–94%. The possibility of enzyme recovery for a reactor of this type is discussed. A mathematical model for enzymatic cellulose hydrolysis in a plug-flow column reactor has been developed. The model allows for the component composition of the cellulase complex, adsorption of cellulases on the substrate surface, inhibition by reaction products, changes in cellulose reactivity and the inactivation of enzymes in the course of hydrolysis. The model affords a reliable prediction of the kinetics of d-glucose and cellobiose formation from cellulose in a column reactor as well as the degree of substrate conversion and reactor productivity with various amounts of adsorbed enzymes and at various flow rates.     

Kinetics of the extracellular cellulases of Clostridium thermocellum acting on pretreated mixed hardwood and Avicel

Initial hydrolysis rates were examined for mixed hardwood flour pretreated with 1% sulfuric acid for 9 s at 220 °C (PTW220) and Avicel. Linear rates were observed for fractional conversion relative to the theoretical up to 0.2 for PTW220 and 0.4 for Avicel. Initial rates were essentially unaffected by the presence of growth medium components over a range of pH values. Avicel-hydrolyzing activity was inhibited linearly by ethanol, with a 50% rate reduction at 8 wt.% ethanol. Rate saturation with either substrate or enzyme was observed in a manner qualitatively consistent with previously reported adsorption data. Although somewhat less reactive than Avicel at very low enzyme loadings, much higher reaction rates were observed for PTW220 at moderate and high enzyme loading because of its higher capacity to bind cellulase. At equal subtrate concentrations (as potential glucose) and fractional substrate coverage of 0.09, the initial rate of pretreated wood hydrolysis exceeded that of Avicel by 15-fold. For fractional substrate coverage values up to 0.09 (the maximum value achieved for PTW220), the initial rate was proportional to adsorbed enzyme for PTW220. However, the rate per adsorbed enzyme declined sharply with increasing fractional coverage for Avicel hydrolysis.     

Evaluation of the factors affecting avicel reactivity using multi-stage enzymatic hydrolysis

Multi-stage and single-stage enzymatic hydrolysis of cellulose (Avicel PH-101) were conducted to investigate individual factors that affect the rate-reducing kinetics of enzymatic hydrolysis. Understanding factors affecting enzymatic hydrolysis of Avicel will help improve hydrolysis of various biomasses. Product inhibition, enzyme deactivation, and the changes of substrate are potential factors that can affect the hydrolysis efficiency of Avicel. Multi-stage enzymatic hydrolysis resulted in 36.9% and 25.4% higher carbohydrate conversion as compared to a single-stage enzymatic hydrolysis with an enzyme loading of 5 and 20 FPU/g in a 96 h reaction. However, a decline in carbohydrate conversion of 1.6% and 2.6% was observed through each stage with 5 and 20 FPU/g, respectively. This indicated that the substrate became more recalcitrant as hydrolysis progressed. The decreased reactivity was not due to crystallinity because no significant change in crystallinity was detected by X-ray diffraction. Product inhibition was significant at low enzyme loading, while it was marginal at high enzyme loading. Therefore, product inhibition can only partially explain this decreased conversion. Another important factor, enzyme deactivation, contributed to 20.3% and 25.4% decrease in the total carbohydrate conversion of 96 h hydrolysis with 5 and 20 FPU/g, respectively. This work shows that an important reason for the decreased Avicel digestibility is the effect of enzyme blockage, which refers to the enzymes that irreversibly adsorb on accessible sites of substrate. About 45.3% and 63.2% of the total decreased conversion at the end of the 8th stage with 5 and 20 FPU/g, respectively, was due to the presence of irreversibly adsorbed enzymes. This blockage of active sites by enzymes has been speculated by other researchers, but this article shows further evidence of this effect.     

An approach to cellulase recovery from enzymatic hydrolysis of pretreated sugarcane bagasse with high lignin content

The possibility of recovering the cellulases used for enzymatic hydrolysis of sugarcane bagasse was evaluated. A strategy was adopted to maximize the enzyme recovery: desorption of the enzymes adsorbed in the solid residue after hydrolysis, and re-adsorption of the enzymes from the liquid medium onto a fresh substrate. The use of surfactant during the enzymatic hydrolysis was important to improve the glucose release from the material structure and also to facilitate the enzyme desorption from the solid residue after hydrolysis. The temperature and pH used during desorption influenced the enzymes recovery, with the best results (90% adsorbed cellulase) being achieved at 45?°C and pH 5.5. The enzymes present in the liquid medium after enzymatic hydrolysis were partially recovered (77%) by adsorption onto the fresh substrate and used in new enzymatic hydrolysis batches. It was concluded that it is possible to recycle cellulases from an enzymatic medium for use in subsequent hydrolysis processes.     

Enzyme adsorption on SO2 catalyzed steam-pretreated wheat and spruce material

Lignocellulose is widely recognized as a sustainable substrate for biofuels production, and the enzymatic hydrolysis is regarded as a critical step for the development of an effective process for the conversion of cellulose into ethanol. One key factor affecting the overall conversion rate is the adsorption capacity of the cellulase enzymes to the surface of the insoluble substrate. Pretreatment has a strong impact on hydrolysis, which could be related to both chemical changes and morphological changes of the material. In the current work, the accessibility of four differently pretreated wheat straw substrates, two differently pretreated spruce materials, and Avicel cellulose was investigated. Adsorption isotherms (at 4 °C and 30 °C) for a cellulase preparation were obtained, and the rates of hydrolysis were determined for the different materials. Furthermore, the surface area and pore size distribution of the various materials were measured and compared to adsorption and hydrolysis properties, and the structures of the pretreated materials were examined using scanning electron microscopy (SEM).The results demonstrated a positive correlation between enzyme adsorption and the substrate specific surface area within each feedstock. Overall, the amount of enzyme adsorbed was higher for pretreated spruce than for the pretreated wheat straw, but this was not accompanied by a higher initial rate of hydrolysis for spruce. Also, the difference in the measured endoglucanase adsorption and overall FPU adsorption suggests that a larger fraction of the enzyme adsorbed on spruce was unproductive binding. The SEM analysis of the material illustrated the structural effects of pretreatment harshness on the materials, and suggested that increased porosity explains the higher rate of hydrolysis of more severely pretreated biomass.     

The influence of pretreatment and enzyme loading on the effectiveness of batch and fed-batch hydrolysis of corn stover

To try to improve hydrolysis yields at elevated solids loadings, a comparison was made between batch and fed-batch addition of fresh substrate at the initial and later phases of hydrolysis. Both ethanol (EPCS) and steam-pretreated corn stover (SPCS) substrates were tested at low (5 FPU) and high (60 FPU) loadings of cellulase per gram of cellulose. The fed-batch addition of fresh substrate resulted in a slight decrease in hydrolysis yields when compared with the corresponding batch reactions. A 72-h hydrolysis of the SPCS substrate resulted in a hydrolysis yield of 66% compared with 51% for the EPCS substrate. When the enzyme adsorption and substrate characteristics were assessed during batch and fed-batch hydrolysis, it appeared that the irreversible binding of cellulases to the more recalcitrant original substrate limited their access to the freshly added substrate. After 72-h hydrolysis of the SPCS substrate at low enzyme loadings, ～40-50% of the added cellulases were desorbed into solution, whereas only 20% of the added enzyme was released from the EPCS substrate. Both simultaneous and sequential treatments with xylanases and cellulases resulted in an up to a 20% increase in hydrolysis yields for both substrates at low enzyme loading. Simons' stain measurements indicated that xylanase treatment increased cellulose access, thus facilitating cellulose hydrolysis.     

Enzyme management in the Iotech process

In the Iotech process, steam explosion of wood chips potentials hydrolysis of the cullulose by enzymes. A small portion of the exploded wood is used as substrate for the production of enzymes for hydrolysis of the remaining wood. Explosions conditions degrade some of the hemicellulose, creating factors (probably related to furfural) that impair enzymatic hydrolysis and destablized the cellulases. Fortunately, simple washing with water paremits more rapid hydrolysis while enzyme stability is greatly improved. Enzymes can be recovered from the hydrolysis residue by adjusting the pH to neutrality, and additional enzymes from hydrolysis filtrate can be adsorbed on fresh exploded wood en route to hydrolysis. A simple mass balance calculation shows proportions of various activities in a mix of fresh and recycled enzymes.     

A new approach for modeling cellulase-cellulose adsorption and the kinetics of the enzymatic hydrolysis of microcrystalline cellulose

Two fractions of substrate in microcrystalline cellulose which differ in their adsorption capacities for the cellulases and their susceptibility to enzymatic attack have been identified. On the basis of a two-substrate hypothesis, mathematical models to describe enzyme adsorption and the kinetics of hydrolysis have been derived. A new nonequilibrium approach was chosen to predict cellulase-cellulose adsorption. A maximum binding capacity of 76 mg protein per gram substrate and a half-maximum saturation constant of 26 filter paper units (FPU) per gram substrate have been calculated, and a linear relationship of hydrolysis rate vs. adsorbed protein has been found. The fraction of substrate more easily hydrolyzed, as calculated from hydrolysis data, represents 19% of the total effective substrate concentration. This fraction is only slightly different from that of other celluloses and has been estimated to be 27% and 30% for NaOH- and H(3)PO(4)-swollen cellulose, respectively. The effective substrate concentration is equal to the maximum amount of the substrate which can be converted during exhaustive hydrolysis. This in turn is determined by the overall degradability of the substrate by the cellulases (85-90% for microcrystalline cellulose) and by the cellobiose concentration during hydrolysis. The kinetic model is based on a summation of two integrated first-order reactions with respect to the effective substrate concentration. Furthermore, it includes the principal factors influencing the reaction rates: the ratio of filter paper and beta-glucosidase units per gram substrate and the initial substrate concentration. (c) 1993 John Wiley & Sons, Inc.     

Kinetics of lipase-catalyzed hydrolysis of palm oil in lecithin/izooctane reversed micelles

Candida rugosa lipase has been used to investigate the hydrolysis of palm oil in a lecithin/isooctane reversed micellar system. The reaction obeys Michaelis-Menten kinetics for the initial conditions. Kinetic parameters such as maximum rate and Michaelis constant (K _m) were determined for lipase-catalyzed hydrolysis in n-hexane and isooctane. According to the K _m values, the enzyme affinity towards the substrate was increased in isooctane. The maximum degree of hydrolysis was generally decreased as the initial substrate concentration was increased. This may suggest that the hydrolysis in lecithin reversed micelles should be regarded as a one-substrate first-order reversible reaction. It is shown in this study that the proposed one-substrate first-order kinetic model can serve for the precise prediction of the degree of hydrolysis for a known reaction time or vice versa, when the initial substrate concentration is less than 0.325 mol/dm³. A disagreement with this model was found when the initial substrate concentration was higher than approximately 0.3 mol/dm³. This may be due to the effects of the products on lipase activity or even to the conversion of the reversed micellar system to other systems. Received: 16 May 1997 / Received revision: 22 October 1997 / Accepted: 24 October 1997     

Factors affecting cellulose hydrolysis and the potential of enzyme recycle to enhance the efficiency of an integrated wood to ethanol process

Past technoeconomic modeling work has identified the relatively large contribution that enzymatic hydrolysis adds to the total cost of producing ethanol from lignocellulosic substrates. This cost was primarily due to the high concentration of enzyme and long incubation time that was required to obtain complete hydrolysis. Although enzyme and substrate concentration and end-product inhibition influenced the rate of hydrolysis, the effect was less pronounced during the initial stages of hydrolysis. During this time most of the cellulases were adsorbed onto the unhydrolyzed residue. By recycling the cellulases adsorbed to the residual substrate remaining after an initial 24 h, a high rate of hydrolysis, with low overall residence time and minimal cellulase input, could be achieved for several rounds of enzyme recycle. A comparison of the front end (pretreatment, fractionation, and hydrolysis) of a softwood/hardwood to ethanol process indicated that the lignin associated with the softwood-derived cellulose stream limited the number of times the cellulose containing residue could be recycled. (c) 1996 John Wiley & Sons, Inc.     

Enzyme deactivation during cellulose hydrolysis

Hydrolysis of cellulose by Trichoderma viride cellulase reached a plateau after some 25 hr. If the initial enzyme-to-substrate ratio was low, resuspension of substrate in fresh enzyme or addition of enzyme resulted in further high rate hydrolysis. This did not occur if the initial ratio was high. Over 75% hydrolysis might be achieved in the former case, while less than 60% in the latter. A model postulating inactivation of adsorbed enzyme–substrate complex which blocked further hydrolysis was proposed, and it was found to fit the data well. The proposed model had five parameters, four of which could be checked by graphical methods, and all of which had physical meanings. The parameters were estimated by a nonlinear least-squares minimization FORTRAN computer program, using numerical integration and optimization of the parameters. The model was used to predict the resuspension data, powdered enzyme addition data, cellobiose addition data, and cellulose addition data; the deviations from the model are discussed. It was found that average values could be used for four out of the five parameters, while the fifth (initial enzyme concentration) did not correlate with independent measurements such as the filter paper activity or protein concentration.     

Continuous hydrolysis of sucrose by invertase adsorbed in a tubular reactor

Studies were made of invertase adsorption on Amberlite ion exchange resins. Up to 4000 units of adsorbed enzymatic activity (aea) were obtainedper g of IRA 93 resin; for an aea of 1600 units, the maximum ratio of aea over units of soluble enzyme used for adsorption was close to 50%. Nodesorption occurred during extensive washing at 30°C with 0.01M sodiumacetate buffer at pH 5. Progressive desorption of aea from the invertase–IRA 93 complex occurred when buffer molarity and temperature were increased. Desorption differed only slightly when the buffer pH was 3 or 5. Theoptimum pH of aea was 3.2 with IRA 93 resin, and varied between 3.2 and 5.1with other resins, depending on their anionic or cationic nature. Batch hydrolysis of sucrose by IRA 93–adsorbed invertase followed 1st order kinetics with respect to the substrate concentration, as in the case of soluble invertase. Continuous sucrose hydrolysis with IRA 93–adsorbed invertase was performed in a tubular reactor, and the percent conversion was experimentally determined as a function of the flow rate. The reaction was experimentally determined 50% (w/v) sucrose solution, at pH4 and 30°C; at the selected flow rate, the ratio of sucrose hydrolysis remained constant and close to 76%. This shows that invertase was not desorbed from the tubular reactor. Some continuous hydrolyses were performed with an industrial sucrose solution: enzymatic activity seemed to be stable for anextended period for time (1 month) at 30°C and pH 3 or 4.     

Kinetic analysis of enzymatic hydrolysis of crystalline cellulose by cellobiohydrolase using an amperometric biosensor

An amperometric biosensor for the detection of cellobiose has been introduced to study the kinetics of enzymatic hydrolysis of crystalline cellulose by cellobiohydrolase. By use of a sensor in which pyrroloquinoline quinone-dependent glucose dehydrogenase was immobilized on the surface of electrode, direct and continuous observation of the hydrolysis can be achieved even in a thick cellulose suspension. The steady-state rate of the hydrolysis increased with increasing concentrations of the enzyme to approach a saturation value and was proportional to the amount of the substrate. The experimental results can be explained well by the rate equations derived from a three-step mechanism consisting of the adsorption of the free enzyme onto the surface of the substrate, the reaction of the adsorbed enzyme with the substrate, and the liberation of the product. The catalytic constant of the adsorbed enzyme was determined to be 0.044+/-0.011s(-1).     

Kinetic modeling of cellulose hydrolysis with first order inactivation of adsorbed cellulase

Enzymatic hydrolysis involves complex interaction between enzyme, substrate, and the reaction environment, and the complete mechanism is still unknown. Further, glucose release slows significantly as the reaction proceeds. A model based on Langmuir binding kinetics that incorporates inactivation of adsorbed cellulase was developed that predicts product formation within 10% of experimental results for two substrates. A key premise of the model, with experimental validation, suggests that V(max) decreases as a function of time due to loss of total available enzyme as adsorbed cellulases become inactivated. Rate constants for product formation and enzyme inactivation were comparable to values reported elsewhere. A value of k(2)/K(m) that is several orders of magnitude lower than the rate constant for the diffusion-controlled encounter of enzyme and substrate, along with similar parameter values between substrates, implies a common but undefined rate-limiting step associated with loss of enzyme activity likely exists in the pathway of cellulose hydrolysis.     

Optimization of enzyme loading and hydrolytic time in the hydrolysis of mixtures of cotton gin waste and recycled paper sludge for the maximum profit rate

The hydrolytic kinetics of mixtures of cotton gin waste (CGW) and recycled paper sludge (RPS) at various initial enzyme concentrations of Spezyme™ AO3117 was investigated. The experiments showed that the concentrations of reducing sugars and the conversions of the mixtures increased with increasing initial enzyme concentration. The reducing sugar concentration and conversion of the mixture of 75% CGW and 25% RPS were higher than those of the mixture of 80% CGW and 20% RPS. The conversion of the former can reach 73.8% after a 72-h hydrolysis at the initial enzyme loading of 17.4 Filter Paper Unit (FPU)/g substrate. A three-parameter kinetic model based on enzyme deactivation and its analytical expression were derived. Using nonlinear regression, the parameters of the model were determined for the experimental data of hydrolytic kinetics of the mixtures. Based on this kinetic model of hydrolysis, two profit rate models, representing two kinds of operating modes with and without feedstock recycling, were developed. Using the profit rate models, the optimal enzyme loading and hydrolytic time can be predicted for the maximum profit rate in ethanol production according to the costs of enzyme and operation, enzyme loading, and ethanol market price. Simulated results from the models based on the experimental data of hydrolysis of the mixture of 75% CGW and 25% RPS showed that use of a high substrate concentration and an operating mode with feedstock recycle can greatly increase the profit rate in ethanol production. The results also demonstrated that the hydrolysis at a low enzyme loading is economically required for systematic optimization of ethanol production.     

Assessment of methods to determine minimal cellulase concentrations for efficient hydrolysis of cellulose

Summary The enzyme loading needed to achieve substrate saturation appeared to be the most economical enzyme concentration to use for hydrolysis, based on percentage hydrolysis. Saturation was reached at 25 filter paper units per gram substrate on Solka Floc BW300, as determined by studying (a) initial adsorption of the cellulase preparation onto the substrate, (b) an actual hydrolysis or (c) a combined hydrolysis and fermentation (CHF) process. Initial adsorption of the cellulases onto the substrate can be used to determine the minimal cellulase requirements for efficient hydrolysis since enzymes initially adsorbed to the substrate have a strong role in governing the overall reaction. Trichoderma harzianum E58 produces high levels of -glucosidase and is able to cause high conversion of Solka Floc BW300 to glucose without the need for exogenous -glucosidase. End-product inhibition of the cellulase and -glucosidase can be more effectively reduced by employing a CHF process than by supplemental -glucosidase.Offprint requests to: C. M. Hogan     

Kinetics of the enzymatic hydrolysis of cellulose: 1. A mathematical model for a batch reactor process

A mathematical model for enzymatic cellulose hydrolysis, based on experimental kinetics of the process catalysed by a cellulase [see 1,4-(1,3;1,4)-β-d-glucan 4-glucanohydrolase, EC 3.2.1.4] preparation from Trichoderma longibrachiatum has been developed. The model takes into account the composition of the cellulase complex, the structural complexity of cellulose, the inhibition by reaction products, the inactivation of enzymes in the course of the enzymatic hydrolysis and describes the kinetics of d-glucose and cellobiose formation from cellulose. The rate of d-glucose formation decelerated through the hydrolysis due to a change in cellulose reactivity and inhibition by the reaction product, d-glucose. The rate of cellobiose formation decelerated due to inhibition by the product, cellobiose, and inactivation of enzymes adsorbed on the cellulose surface. Inactivation of the cellobiose-producing enzymes as a result of their adsorption was found to be reversible. The model satisfactorily predicts the kinetics of d-glucose and cellobiose accumulation in a batch reactor up to 70–80% substrate conversion on changing substrate concentration from 5 to 100 g l^?1and the concentration of the enzymic preparation from 5 to 60 g l^?1.