Spatiotemporal behaviors in immobilized enzyme systems

The immobilization of enzymes within an artificial membrane, with a homogeneous distribution of the active sites, allows a simple modelling in a well defined context. The systems are described by non-linear PDE'S, taking into account enzyme reaction and metabolite diffusion. These equations can exhibit several types of behaviors, qualitatively different from those observed in solution, such as hysteresis, oscillations and pattern formations. Preliminary experimental results have shown the existence of sustained oscillations and instabilities with immobilized acetylcholinesterase and phosphofructokinase.     

Operational effectiveness factors of immobilized enzyme systems

The steady-state and operational effectiveness factors for hydrolytic enzymes immobilized in spherical gel particles have been calculated by the collocation method for a wide range of microenvironmental conditions (given by the Thiele modulus) and macroenvironmental conditions (given by the Sherwood number and the relative substrate content). The operational effectiveness factor is a measure of the ratio of the times required to convert a defined amount of substrate with the same amount of free and immobilized enzyme, respectively. Calculations were made for reactors where the diffusion layers of the different enzyme-containing gel particles do not overlap. The theoretical values were compared with experimental values for stirred reactors with chymotrypsin and trypsin immobilized in spherical particles (Sepharose and Sephadex). Low molecular weight substrates were used. The theoretical and experimental values were found to agree within the experimental error. This demonstrates the predictive capacity of the collocation method in estimating steady-state and operational effectiveness factors for enzyme reactors. The microenvironment and macroenvironment were both found to influence the effectiveness over a wide range of substrate concentrations. However, the macroenvironmental influence is negligible when the Sherwood number of the reactor is larger than ～50. Then, the diffusion layer thickness is small compared with the dimensions of the enzyme-containing particles. The effectiveness factors calculated here can also be used to predict the performance of continuous stirred tank and plug-flow reactors.     

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.     

Improved immobilized enzyme systems using spherical micro silica sol-gel enzyme beads

Spherical micro silica sol-gel immobilized enzyme beads were prepared in an emulsion system using cyclohexanone and Triton-X 114. The beads were used for thein situ immobilization of transaminase, trypsin, and lipase. Immobilization during the sol to gel phase transition was investigated to determine the effect of the emulsifying solvents, surfactants, and mixing process on the formation of spherical micro sol-gel enzyme beads and their catalytic activity. The different combinations of sol-gel precursors affected both activity and the stability of the enzymes, which suggests that each enzyme has a unique preference for the silica gel matrix dependent upon the characteristics of the precursors. The resulting enzyme-entrapped micronsized beads were characterized and utilized for several enzyme reaction cycles. These results indicated improved stability compared to the conventional crushed form silica sol-gel immobilized enzyme systems.     

Preparation of some immobilized linked enzyme systems and their use in the automated determination of disaccharides

1. Glucose oxidase (EC 1.1.3.4), amyloglucosidase (EC 3.2.1.3), invertase (EC 3.2.1.26) and beta-galactosidase (EC 3.2.1.23) were covalently attached via glutaraldehyde to the inside surface of nylon tube. 2. The linked enzyme system, comprising invertase immobilized within a nylon tube acting in series with glucose oxidase immobilized in a similar way, was used for the automated determination of sucrose. 3. The linked enzyme system, comprising beta-galactosidase immobilized within a nylon tube acting in series with glucose oxidase immobilized in a similar way, was used for the automated determination of lactose. 4. The linked enzyme system, comprising amyloglucosidase immobilized within a nylon tube acting in series with glucose oxidase immobilized in a similar way, was used for the automated determination of maltose. 5. Mixtures of glucose oxidase and amyloglucosidase were immobilized within the same piece of nylon tube and used for the automated determination of maltose. 6. Mixtures of glucose oxidase and invertase were immobilized within the same piece of nylon tube and used for the automated determination of sucrose.     

Analytical applications for routine use with immobilized enzyme nylon tube reactors

Analytical systems have been developed for the automated assay of urea, uric acid, glucose, pyruvate, lactate, creatinine, creatine, glycerol, triglycerides and cholesterol. These analytical systems consist of hollow tubes of polymeric nylon to the insides of which specific enzymes are covalently immobilized and analysis is performed by perfusion of the sample through the reactors at a rapid rate of 50–60 tests per hour. The design and development of these reactors that show high specificity and operational dependability, as demonstrated by detailed clinical trials, is discussed. All the metabolites mentioned above can be detected by the linear range clinically relevant in these reactors, which are very stable during use in continual analysis and storage.     

A novel ex vivo heart model for the assessment of cardiac pacing systems

BACKGROUND: Advances in endocardial device design have been limited by the inability to visualize the device-tissue interface. The purpose of this study was to assess the validity of an isolated heart approach, which allows direct ex vivo intracardiac visualization, as a research tool for studying endocardial pacing systems. METHOD OF APPROACH: Endocardial pacing leads were implanted in the right atria and ventricles of intact swine (n = 8) under fluoroscopic guidance. After collection of pacing and sensing performance parameters, the hearts were excised with the leads intact and reanimated on the isolated heart apparatus, and parameters again recorded. RESULTS: Atrial ex vivo parameters significantly decreased compared with in vivo measurements: P-wave amplitudes by 39%, slew rates by 61%, and pacing impedances by 42% (p < 0.05 for each). Similarly, several ventricular ex vivo parameters decreased: R-wave amplitudes by 39%, slew rates by 62%, and pacing impedances by 31%. In contrast, both atrial (4.4 +/- 2.8 vs 3.3 +/- 2.8 V; p = ns) and ventricular thresholds increased (1.2 +/- 0.7 vs 0.6 +/- 0.1 V; p < 0.05 for all). Three distinct phenomena were observed at the lead-tissue interface. Normal implants (70%) demonstrated minimal tissue distortion and resulted in elevated impedance and threshold values. Three implants (13%) resulted in severe tissue distortion and/or tissue wrapping and were associated with highly elevated pacing parameters. Tissue coring occurred in four implants (17%) where the lead would spin freely in the tissue after overtorquing of the lead. CONCLUSIONS: The utility of the isolated heart approach was demonstrated as a tool for the design and assessment of the performance of endocardial pacing systems. Specifically, the ability to visualize device-heart interactions allows new insights into the impact of product design and clinical factors on lead performance and successful implantation.     

Diffusion and the limiting substrate in two-substrate immobilized enzyme systems

The effects of mass transport resistances on two-substrate immobilized enzyme systems are investigated theoretically. It is shown that the effects of mass transport resistances on the overall reaction rate are related mainly to the transport of the limiting substrate. In the absence of external mass transport resistances, the limiting substrate can be identified by knowing only the ratio of the bulk substrate concentrations, the permeability of the support to the two substrates, and the stoichiometry of the reaction. However, a combination of internal and external mass transport resistances may result in the other substrate becoming limiting. These effects are most significant when the mass transport resistances are high. Applications in the design of enzyme electrodes and chemical reactors are discussed.     

The kinetics of penicillin-V deacylation on an immobilized enzyme

An immobilized Penicillin-V-acylase (commercial name, Novozym 217) with high specificity for the phenoxyacetyl-(V)- side chain was investigated in a recycle reactor and in a batch reactor to find the enzymatic reaction rate as a function of conversion, x, substrate concentration, c(A) (0) and pH. The reaction rate depends strongly on pH, and both products, phenoxy-acetic acid and 6-APA, inhibit the reaction. Nonspecific side reactions amount to only a few per cent when c(A) (0) <150mM and pH& gt; 6.5. The effectiveness factor for commercial-size particles is found to be about 0.65, and a value of 1.3mM is obtained for the equilibrium constant, K(eq), of the deacylation reaction. A kinetic model for the deacylation process which includes the effect of pH and of the reverse (acylation) reaction is proposed. Rate data for particles of different size are fitted to the nonlinear model. Five kinetic parameters and an effective diffusivity for the immobilized enzyme particles are determined.     

On the use of apparent kinetic parameters for immobilized enzyme with noncompetitive substrate inhibition

The use of a simple rate equation with apparent parameters to describe the kinetic behavior of an immobilized enzyme with noncompetitive substrate inhibition was assessed. To do so, the reaction rate was calculated as a function of the interfacial substrate concentration, and the results were used to identify the apparent kinetic parameters by nonlinear regression. This procedure was repeated for different values of the diffusional constraints and of the inhibition constant. The equation using apparent parameters can describe the global kinetic behavior, provided that the diffusional and inhibitory constraints are not too high. When the constraints are high, a Michaelis-Menten equation can be used to model the kinetics for interfacial concentrations lower than the concentration leading to the maximum reaction rate.     

纳米材料固定化酶的研究进展

近年来,纳米技术为酶固定化提供了多种纳米级材料,纳米材料固定化酶不仅具有高的酶负载量,而且具有良好的酶稳定性。本文基于纳米材料固定化酶,对纳米材料的种类进行了总结,分析了纳米材料对固定化酶性能的影响,并介绍了纳米级固定化方法及纳米材料固定化酶在生物转化、生物传感器、生物燃料电池等领域的应用。     

Effectiveness factor calculations for immobilized enzyme catalysts

The steady state, nonlinear diffusion equations which describe reactions in constrained enzyme solutions are of great interest in many biological and engineering applications. As in other types of nonlinear differential equations, exact analytical solutions do not exist except in some simplified cases. In this paper, a general procedure is presented for solving numerically for the substrate concentration profile and effectiveness factor utilizing the transformation method suggested by Na and Na. Design correlations for enzyme solutions constrained within spherical membranes are included. The use of a unique definition of the Thiele Modulus in these charts permits the clear illustration of the effects of substrate concentration and external mass transfer resistances on the overall effectiveness factor for the catalyst particle.     

Packed-bed immobilized enzyme reactors for complex processes

Utilization of enzymic reactors for biotechnological-biomedical applications is currently developing at a sustained pace.Our present study concentrates on development of procedures for describing the performance of devices where enzyme-catalyzed reactions between two substrates take place, and for the rational design and optimization of the reactors considered. Within this context, an analytical model was developed for immobilized enzyme packed-bed reactors; it takes into account internal diffusion limitations for the cosubstrates, and hydrodynamic backmixing effects. In order to overcome the complex mathematical problems involved, the compartmental analysis approach was employed.Using this model, performance was simulated for various configurations of the enzymic unit, i.e. from a continuously operated stirred tank reactor (CSTR) to an essentially plug flow type. In addition, an experimental method is described for quantitatively assessing the backmixing effects prevailing in the reactor.The procedures established also provide the ground for further developments, particularly for systems where, in parallel to the enzymic reaction, additional processes (e. g. complexation) take place.List of Symbols C _j,i mM Concentration of substrate j in the pores of stage - iD _j cm²/s Internal (pore) diffusion coefficient of substrate j; defined in Eq. (7) - D _e cm²/s Axial dispersion diffusion coefficient - D _j, cm²/s cm²/s Bulk diffusion coefficient for substrate j - E mM Enzyme concentration inside the catalytic pores - J _j,immol/s/cm² Net flux of substrate j taking place from the bulk of stage i into the corresponding pores; defined in Eq. (6) - K _m,1, K _m,2 mM Michaelis-Menten constants for cosubstrates 1 and 2, respectively - k s ^–1 Catalytic constant - k _s cm/s Catalytic constant - n Total number of elementary stages in the reactor - Q cm³/s Volumetric flow rate throught the reactor - r cm Radius of the pore - R _j,i mM/s Reaction rate of substrate j in stage i, in terms of volumetric units - S cm² Internal surface of a pore - S _j,0 mM Concentration of substrate j in the reactor feed - S _j,i–1, S _j,i mM Concentration of substrate j in the bulk phase leaving stages i — 1 and i, respectivley - V _i cm³ Total volume of stage i (bulk phase + pore phase + inert solid carrier) - V cm³ Total volume of the reactor - V _m ^* mmol/s/cm² Maximal reaction rate in terms of surface units; defined in Eq. (8) - V _m mM/s Maximal reaction rate in terms of volumetric units; defined in Eq. (8) - V _p cm³ Volume of one pore - y cm Axial coordinate of the pores - y ₀ cm Depth of the pores - Z cm Axial coordinate of the reactor - Z ₀ cm Length of the reactor - ₁ Dimensionless parameter; defined in Eq. (27) - ₂ Dimensionless parameter; defined in Eq. (27) - ₁ Dimensionless parameter; defined in Eq. (27) - ₂ Dimensionless parameter; defined in Eq. (27) - Ratio between the radius of the enzyme molecule and the radius of the pore (dimensionless) - V₁ Dimensionless parameter; defined in Eq. (21) - v₂ Dimensionless parameter; defined in Eq. (21) - Q Volumetric packing density of catalytic particles (dimensionless) - Ø Porosity of the catalytic particles (dimensionless) - Ø Dimensionless concentration of substrate j in pores of stage i; defined in Eq. (16) - _j,i-1,_j,i Dimensionless concentration of substrate j in the bulk phase of stage i; defined in Eq. (18) - Dimensionless position; defined in Eq. (16) - ² s² Variance; defined in Eq. (33) - Mean residence time in the reactor; defined in Eq. (33)     

Polyvinylferrocenium immobilized enzyme electrode for choline analysis

The response characteristics of a new enzyme electrode for determining choline are reported. The enzyme electrode consists of a polyvinylferrocenium perchlorate coated Pt surface onto which the enzyme, choline oxidase, is attached. Choline oxidase catalyzes the oxidation of choline to betaine, producing H₂O₂. Current due to H₂O₂ oxidation catalyzed by polyvinylferrocenium centers was measured. The effects of choline concentration, the amount of enzyme immobilized and the operating pH and temperature on the response of the enzyme electrode were studied. The effects of interferents were also investigated. The response time was found to be 60–70 s and the upper limit of the linear working portion was found to be 1.2 mM choline concentration. The minimum substrate concentration that produced detectable current was 4.0×10⁻⁶ M choline concentration. The steady-state current of this enzyme electrode was reproducible within ±4.6% of relative error. The apparent Michaelis–Menten constant (K_Mapp) and the activation energy, E_a, of this immobilized enzyme system were found to be 2.32 mM and 38.91 kJ/mol, respectively.     

Hysteresis,oscillations, and pattern formation in realistic immobilized enzyme systems

Summary Hysteresis, oscillations, and pattern formation in realistic biochemical systems governed by P.D.E.s are considered from both numerical and mathematical points of view. Analysis of multiple steady states in the case of hysteresis, and bifurcation theory in the cases of oscillations and pattern formation, account for the observed numerical results. The possibility to realize these systems experimentally is their main interest, thus bringing further arguments in favor of theories explaining basic biological phenomena by diffusion and reaction.     

Production of immobilized penicillin acylase using aqueous polymer systems for enzyme purification and in situ immobilization

A novel approach for the isolation and purification of penicillin acylase (PA), which couples aqueous two-phase partitioning and enzyme immobilization has been investigated.A PA yield of 90% was achieved by treating E. coli cells with 4% butyl acetate, freeze-thawing step, and pressure homogenization. PA purification (93% recovery) was achieved by (1) removing cell debris via precipitation with polyethylene glycol (PEG 2000); (2) aqueous two-phase partitioning using a PEG 2000 + phosphate system (87% recovery).An in situ enzyme immobilization approach, using oxirane acrylic or aldehyde-agarose beads dispersed in the PEG-rich phase, was explored for the conversion of penicillin G to 6-aminopenicillanic acid. An appropriate immobilization reaction time was found. The catalytic performance of the enzyme, when immobilized, was found not to be affected by recycling of the phase-forming components.     

A secreted luciferase for ex vivo monitoring of in vivo processes

Luciferases are widely used to monitor biological processes. Here we describe the naturally secreted Gaussia princeps luciferase (Gluc) as a highly sensitive reporter for quantitative assessment of cells in vivo by measuring its concentration in blood. The Gluc blood assay complements in vivo bioluminescence imaging, which has the ability to localize the signal and provides a multifaceted assessment of cell viability, proliferation and location in experimental disease and therapy models.