Treatment of burn surfaces by proteinases: mathematical description of an enzyme distribution

The process of penetration of a proteolytic enzyme applied to the surface of burn wound into the depth of necrotic tissue was considered. The model approximation describes three factors by a series of mathematical equations: inward-directed enzyme diffusion, counter-flow filtration of interstitial fluid (exudates), and irreversible inactivation of the enzyme by specific inhibitors present in exudates. According to the model, a quasi-stationary distribution of enzymatic activity through the thickness of the necrotic layer is achieved within 3 h and persists as long as the enzyme concentration on the wound surface is constant. The enzyme activity diminishes linearly from the wound surface to the mid-part of the necrotic layer. No enzyme activity is retained in the inner mid-part of the necrotic layer completely protected by the prevalent inhibitor. The ratio of enzyme concentration on the wound surface to inhibitor concentration in the interstitial fluid is the same as the ratio of the depth of active enzyme area to the depth of the inhibitor-protected area through the necrotic layer. The dynamics of accumulation of the active enzyme in the necrotic zone and the rate of enzyme inactivation in the wound by inhibitors were described by formulas applicable for practical purposes.     

Proteolytic modification of calcium-dependent protease 1 in erythrocytes treated with ionomycin and calcium

In vitro, limited proteolytic cleavage of the subunits of the purified calcium-dependent proteases [also known as calpains (EC 3.4.22.17) or calcium-activated neutral proteinases (CANPs)] appears to be required for enzyme activity. It has not yet been demonstrated if similar processing of the protease subunits occurs in vivo. To directly assess proteolytic modification of these proteases in cells, we have measured the loss of the proenzyme form of the regulatory subunit (a 26-kDa protein) and/or the appearance of the modified regulatory subunit (a 17-kDa protein) by densitometric analysis of immunoblots. In rat erythrocytes, proteolytic modification of the endogenous calcium-dependent protease (calcium-dependent protease 1, mu CANP) occurs in vivo in response to ionomycin and calcium. The extent of enzyme modification was dependent on time, ionomycin concentration, and calcium concentration, suggesting that in this cellular model Ca2+ regulates proteolytic modification of the enzyme.     

Metachromasia of 3-amino-9-ethylcarbazole (AEC) and its prevention in immunoperoxidase techniques

3-Amino-9-ethylcarbazole (AEC) used as chromogen in immunoperoxidase techniques normally has an intense, red colour. However, as an inconstant phenomenon, a pale yellowish-green reaction product severely impairing the evaluation can be observed. In order to circumvent this undesired effect, factors such as tissue fixative, proteolytic digestion, antibody concentrations and incubation time of the primary antibody were analyzed. The most important factor inducing a change in colour is probably the inadequately high local peroxidase concentration arising as the consequence of high amounts of bound primary antibody. This high enzyme concentration might cause metachromasia of AEC by producing the yellowish-green quinone-di-imine form of the substrate. As could be shown by spectrophotometry in test tube experiments, AEC metachromasia was proven to be enzyme dependent. Thus, the best way to trigger the local enzyme concentration on a tissue section to adequate levels appears to be the dilution of the primary antibody.     

Enzyme-mediated proteolysis of fibrous biopolymers: Dissolution front movement in fibrin or collagen under conditions of diffusive or convective transport

A numerical model based on the convective-diffusive transport of reacting and adsorbing proteolytic enzymes within erodible fibrous biopolymers was used to predict lysis fronts moving across biogels such as fibrin or collagen. The fiber structure and the transport properties of solutes in fibrin (or collagen) were related to the local extent of dissolution within the dissolving structure. An accounting for solubilization of adsorbed species into solution from the eroding fiber phase provided for complete conservation of mass in reacting systems containing over 10 species. At conditions of fibrinolysis typical of clinical situations, the model accurately predicted the dynamic rate of lysis front movement for plasmin, urokinase, and tissue plasminogen activator (tPA)-mediated lysis of fibrin gels measured in vitro. However, under conditions of extremely fast fibrinolysis using high enzyme concentrations, fibrinolytic fronts moved very rapidly (>0.1 mm/mm)-faster than predicted for diffusionlimited reactions-at nearly constant velocity for over 2 h, indicating non-Fickian behavior. This was due to proteolysis-mediated retraction of dissolving fibrin fibers that resulted in fiber convection and front-sharpening within 3 mum of the reaction front, as observed by digitally enhanced microscopy. In comparing the model to fibrinolysis measurements using human lys(77)-plasmin, the average first order rate constant for non-crosslinked fibrin bond cleavage by fibrin-bound plasmin was calculated to be 5s(-1) assuming that 10 cleavages per fibrin monomer were required to solubilize each monomer. The model accurately predicted lysis front movement using pressure-driven permeation of plasmin or urokinase into fibrin as well as literature data obtained under well- mixed conditions for tPA-mediated fibrinolysis. This numerical formulation provides predictive capability for optimization of proteolytic systems which include thrombolytic therapy, wound healing, controlled drug release, and tissue engineering applications. (c) 1995 John Wiley & Sons, Inc.     

Metachromasia of 3-amino-9-ethylcarbazole (AEC) and its prevention in immunoperoxidase techniques

Summary 3-Amino-9-ethylcarbazole (AEC) used as chromogen in immunoperoxidase techniques normally has an intense, red colour. However, as an inconstant phenomenon, a pale yellowish-green reaction product severely impairing the evaluation can be observed. In order to circumvent this undesired effect, factors such as tissue fixative, proteolytic digestion, antibody concentrations and incubation time of the primary antibody were analyzed. The most important factor inducing a change in colour is probably the inadequately high local peroxidase concentration arising as the consequence of high amounts of bound primary antibody. This high enzyme concentration might cause metachromasia of AEC by producing the yellowish-green quinone-di-imine form of the substrate. As could be shown by spectrophotometry in test tube experiments, AEC metachromasia was proven to be enzyme dependent. Thus, the best way to trigger the local enzyme concentration on a tissue section to adequate levels appears to be the dilution of the primary antibody.This study was supported by the Deutsche Forschungsgemeinschaft (DFG: Mo. 384/1-2)     

Mathematical modelling of dynamics and control in metabolic networks. I. On Michaelis-Menten kinetics

As a starting point for modeling of metabolic networks this paper considers the simple Michaelis-Menten reaction mechanism. After the elimination of diffusional effects a mathematically intractable mass action kinetic model is obtained. The properties of this model are explored via scaling and linearization. The scaling is carried out such that kinetic properties, concentration parameters and external influences are clearly separated. We then try to obtain reasonable estimates for values of the dimensionless groups and examine the dynamic properties of the model over this part of the parameter space. Linear analysis is found to give excellent insight into reaction dynamics and it also gives a forum for understanding and justifying the two commonly used quasi-stationary and quasi-equilibrium analyses. The first finding is that there are two separate time scales inherent in the model existing over most of the parameter space, and in particular over the regions of importance here. Full modal analysis gives a new interpretation of quasi-stationary analysis, and its extension via singular perturbation theory, and a rationalization of the quasi-equilibrium approximation. The new interpretation of the quasi-steady state assumption is that the applicability is intimately related to dynamic interactions between the concentration variables rather than the traditional notion that a quasi-stationary state is reached, after a short transient period, where the rates of formation and decomposition of the enzyme intermediate are approximately equal. The modal analysis reveals that the generally used criterion for the applicability of quasi-stationary analysis that total enzyme concentration must be much less than total substrate concentration, et much less than St, is incomplete and that the criterion et much less than Km much less than St (Km is the well known Michaelis constant) is the appropriate one. The first inequality (et much less than Km) guarantees agreement over the longer time scale leading to quasi-stationary behavior or the applicability of the zeroth order outer singular perturbation solution but the second half of the criterion (Km much less than St) justifies zeroth order inner singular perturbation solution where the substrate concentration is assumed to be invariant. Furthermore linear analysis shows that when a fast mode representing the binding of substrate to the enzyme is fast it can be relaxed leading to the quasi-equilibrium assumption. The influence of the dimensionless groups is ascertained by integrating the equations numerically, and the predictions made by the linear analysis are found to be accurate.(ABSTRACT TRUNCATED AT 400 WORDS)     

Hysteresis, multiplicity of stationary states and auto-oscillations in the reversible flow-through reaction]

A mathematical model has been investigated of a reversible flow-through reaction S1 reversible S2 catalyzed by an olygomeric enzyme E(R,T) the protomers of which undergo concerted conformational transitions R reversible T. The isosteric activation of olygomer E by product S2 binding preferably to protomer active sites in conformation R is shown to be a possible cause of hysteresis in the quasi-stationary input characteristic of the reaction, v (s2). The latter determines the rate law of the reaction, provided the concentration of S2 is a quasi-stationary one. The hysteresis of the characteristic v (s1) gives rise to multiple steady states and self-oscillations in the reaction.     

Unstirred water layers in rabbit intestine: effects of pectin

Pectins have been shown to affect the absorption of several different nutrients in clinical studies; however, the mechanisms for decreased absorption have not been defined. A possibility not studied with regards to pectin, but previously demonstrated to be important in absorption, is the effect of change in the unstirred water layer. As the unstirred water layer increases in thickness, the rate of absorption decreases for certain nutrients. The effect of pectin on the unstirred water layer in the lumen of rabbit jejunum was examined by previously described techniques. It was observed that: (1) increases in pectin concentration resulted in an increased thickness of the unstirred water layer; (2) for any stir rate, the addition of pectin increased the thickness of the unstirred water layer; and (3) stir rate is inversely related to the thickness of the unstirred water layer. It was concluded from these results that pectin increases the thickness of the unstirred water layer in rabbit jejunum. This mechanism may explain, in part, the reduction of the rate of absorption of certain nutrients seen following pectin ingestion.     

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.     

Experimental study of protease C--proteolytic enzyme of microbial origin]

The specific activity of protease C, a proteolytic enzyme isolated from Acremonium chrysogenum was studied under experimental conditions. Protease C was shown to lyse necrotic biological substrates (dry crusts of burn wounds) and blood clots. By the nature of the effect protease C was analogous to terrilytin and by the level of the effect it was superior in some experiments. Protease C was low toxic and had no mutagenic action.     

计算机模拟酶解制备驴乳清蛋白抗氧化肽的研究

本文选用驴乳清蛋白为原材料,以DPPH自由基清除率为指标,利用计算机模拟酶解驴乳清蛋白,筛选出能够产生抗氧化活性肽的最适蛋白水解酶,以pH、酶解温度、酶底比(质量比)为自变量,采用Design-Expert V8.0.6设计响应面试验,确定以α-胰凝乳蛋白酶酶解驴乳清蛋白制备抗氧化肽的最佳工艺条件。结果表明在底物浓度4%,酶解时间4 h的条件下,当温度达到39℃,pH 8,酶底比4%时得到的酶解肽抗氧化活性最强,10 mg/mL驴乳清蛋白酶解肽的DPPH自由基清除率最高可达46.23%。     

Suborganellar localization of proteinase catalyzing the limited hydrolysis of pumpkin globulin

Protein bodies were prepared from the cotyledons of pumpkin (Cucurbita sp.) seeds by employing a nonaqueous isolation method. Both light micrographic examination and the marker enzyme assays have shown that the isolated protein bodies were intact and contamination with other cell organelles or cytoplasmic components was negligible. A proteolytic enzyme catalyzing the limited hydrolysis of carboxymethylated γ′ chain of globulin was found to be present in the protein bodies. The specific activity in the protein body (18 units per milligram protein) was higher than that in the whole cell extract (13 units per milligram protein), indicating that the limited proteolytic enzyme was localized in the protein body.

After lysis of the protein bodies using hypotonic buffer solution, the suborganellar components (matrix, membranes, and crystalloids) were separated by sucrose density gradient centrifugation. The crystalloid was composed of only globulin, a major seed protein. The major proteins of matrix and membrane fractions were shown to have mol wt of approximately 10,000. About 90% of the limited proteolytic activity was found in the matrix region.

     

Regulation of the fructose 6-phosphate/fructose 2,6-bisphosphate cycle by enzyme phosphorylation and sn-glycerol 3-phosphate

The regulation of the Fru-6-P/Fru-2,6-P2 cycle by the cooperation of allosteric and covalent mechanisms was investigated in a reconstituted enzyme system under in vitro conditions. Phosphorylation of the bifunctional enzyme exerts a much stronger effect than sn-glycerol 3-phosphate in lowering the quasi-stationary concentration of fructose 2,6-bisphosphate and in increasing the critical concentration of the fructose phosphates, respectively. However, sn-glycerol 3-phosphate is able to strongly amplify the decrease of the quasi-stationary concentration of fructose 2,6-bisphosphate due to phosphorylation. The experiments can be described by a mathematical model involving rate equations for the dephosphorylated and the phosphorylated PFD-2 and FBPase-2. The results are compared with data from the literature obtained under in vivo conditions.     

Biosensor based on enzyme-catalysed degradation of thin polymer films

A biosensor based on the enzyme-catalysed dissolution of biodegradable polymer films has been developed. Three polymer-enzyme systems were investigated for use in the sensor: a poly(ester amide), which is degraded by the proteolytic enzyme alpha-chymotrypsin; a dextran hydrogel, which is degraded by dextranase; and poly(trimethylene) succinate, which is degraded by a lipase. Dissolution of the polymer films was monitored by Surface Plasmon Resonance (SPR). The rate of degradation was directly related to enzyme concentration for each polymer/enzyme couple. The poly(ester amide)/alpha-chymotrypsin couple proved to be the most sensitive over a concentration range from 4 x 10(-11) to 4 x 10(-7) mol l(-1) of enzyme. The rate of degradation was shown to be independent of the thickness of the poly(ester amide) films. The dextran hydrogel/dextranase couple was less sensitive than the poly(ester amide)/alpha-chymotrypsin couple but showed greater degradation rates at low enzyme concentrations. Enzyme concentrations as low as 2 x 10(-11) mol l(-1) were detected in less than 20 min. Potential fields of application of such a sensor system are the detection of enzyme concentrations and the construction of disposable enzyme based immunosensors, which employ the polymer-degrading enzyme as an enzyme label.     

Effect of arginine on the activity of proteolytic enzymes in the rat brain and liver

The influence of arginine on autolysis and proteolysis was studied. Arginine at the concentration of 0.5 and 1.0 microM/ml was added to the incubation mixture. Proteolytic processes were studied in the acid, neutral and alkaline media (pH 4.5; 7.4; 8.5). Autolysis was determined by incubation of the brain and liver homogenates and proteolysis by the use of bovine serum albumin as a substrate. Autolytic and proteolytic activities were calculated as an increase of Folin positive compounds or amino nitrogen in the samples. It was established that the influence in vitro of arginine on the proteolytic processes depended on pH, type of the peptide-hydrolases, to a lesser extent, on the arginine concentration and did not depend on the tissue type. Arginine displayed its regulative action in the brain and liver by the same way. The addition of arginine had an effect on autolysis and proteolysis in the neutral and alkaline media. Determination of autolytic and proteolytic activities by Folin positive compounds has shown that arginine addition into the samples decreased autolysis and proteolysis. At the same time determination of autolysis and proteolysis by amino nitrogen in the presence of arginine has shown that autolytic and proteolytic activities increased.     

Membrane reactor for enzymatic hydrolysis of cellobiose

A pressurized, stirred vessel attached with an ultrafiltration membrane was used as a membrane reactor, Cellobiose hydrolysis by cellobiase was carried out and theoretically analyzed in terms of steady-state conversion and flow rate through the membrane. When the flow rate exceeds a critical value, a significant fraction of the enzyme inside the reactor is localized in the concentration polarization layer where shear from stirring is high. Consequently, enzyme deactivation inside the concentration polarization layer is accelerated and the conversion decreases due to an exchange of active enzyme in bulk with deactivated enzyme in the polarization layer via convection and back diffusion. Successful operation can be obtained at flow rates lower than the critical point to avoid the polarization and thus the deactivation. It is shown that 6.5 L of 2 mg/mL of cellobiose solution is hydrolyzed to glucose with a conversion of 91% in 20 h with 1.617 mg of cellobiase enzyme, in a reactor attached with a PM 10 membrane of an effective surface area of 39.2 cm².     

Induction of lysosomal enzyme secretion by alveolar macrophages in response to the purified complement fragments C5a and C5a des-arg

Purified C5a and its "inactive" form, C5a des-arg, were shown to induce secretion of acid hydrolases from rabbit alveolar macrophages (AM) in a concentration-dependent manner. Secretion increased with time to 5 times above controls by 72 hr. Concentrations of these enzymes in the cell lysates did not decrease during the incubation, suggesting that synthesis of new enzyme was occurring. The lysosomal enzyme secretion was accompanied by increased pinocytosis and release of proteolytic enzymes from the macrophages. At no time was significant lactic dehydrogenase liberated, indicating that secretion was selective and not due to cell death. Data presented also suggest that C5a des-arg induced secretion from the macrophages of a chemotactic factor for neutrophils. It was concluded that C5a and C5a des-arg may play a role in lung injury by interactions with AM, inducing the secretion of acid hydrolases and proteolytic enzymes that can cause tissue damage, and by regulating the influx of other inflammatory cells into the interstitium and air spaces.     

Temporal study of the activity of matrix metalloproteinases and their endogenous inhibitors during wound healing

The restoration of functional connective tissue is a major goal of the wound healing process. This regenerative event requires the deposition and accumulation of collagenous and noncollagenous matrix molecules as well as the remodelling of extracellular matrix (ECM) by matrix metalloproteinases (MMPs). In this study, we have utilized substrate gel electrophoresis, radiometric enzyme assays, and Western blot analyses to determine the temporal pattern of appearance and activity of active and latent MMPs and their inhibitors during the entire healing process in a partial thickness wound model. Through the use of substrate gel electrophoresis, we studied the appearance of proteolytic bands whose molecular weight was consistent with their being members of the MMP family of enzymes. Proteolytic bands whose molecular weight is consistent with both the active and latent forms of MMP-2 (72 kDa, Type IV gelatinase) were detected in wound fluid of days 1–7 after wounding. The number of active MMP-2 species detectable in wound fluid was greatest during days 4–6 after wounding. The most prominent proteolytic band detected each day migrated with a molecular weight consistent with it being the latent form of MMP-9 (92 kDa, Type V pro-collagenase). In contrast to MMP-2, the active form of this enzyme was never detected. The presence of MMP-1 (interstitial collagenase) was detected by immunoblot in the wound fluid from days 1–6 post-injury. Using a radiometric enzyme assay for collagenase inhibitory activity we have also determined the time course of activity of endogenous matrix metalloproteinase inhibitors. We have correlated these data to the known cellular events occurring in the wound during this time period as well. This study establishes a prototypical pattern of MMP appearance in normal wound healing. It may also provide potential intervention sites for the therapeutic use of inhibitors of aberrant MMP activities which characterize chronic wounds. © 1996 Wiley-Liss, Inc.     

The effect of cell size and shape on the resistance of unstirred layers to solute diffusion

The conventional flat plate model used to relate diffusion resistance to the thickness of the unstirred layer was shown to be inappropriate for microorganisms. Alternate models were developed, and they predict that diffusion resistance decreases as cell size decreases and that it depends on the shape of the cell.     

Modified properties of hexokinase from heart mitochondria prepared using proteolytic enzyme

Summary Isolation of muscle mitochondria is made easier by using proteolytic treatment of the tissue before homogenization. Normally, the proteolytic enzyme is discarded with the supernatant of the first centrifugation. However, our results show that a fraction of enzyme activity remains associated with mitochondria. As shown in experiments described in this paper, mitochondrial hexokinase from tissue treated or not with the proteolytic enzyme exhibits similar properties except that the solubilized enzyme from protease treated tissue is no longer able to rebind to mitochondrial membrane. This modification of the binding ability of the enzyme results from a partial hydrolysis of hexokinase during solubilization experiments by the proteolytic enzyme. Since, as pointed out here, proteolytic enzyme can remain associated with mitochondria, [either adsorbed on mitochondrial membrane or included in the mitochondrial pellet] its use for the isolation of muscle mitochondria should be avoided.