Mathematical modeling of a single-cell enzyme assay

A quantitative assay of beta-galactosidase activity in single cells of Saccharomyces cerevisiae has been developed using a fluorogenic substrate and flow cytometry [reported in Wittrup & Bailey, Cytometry, 9,394 (1988)]. The beta-galactosidase activity is expressed in yeast from the Escherichia coli lacZ gene under the control of the yeast GAL10 promoter, and is used as a marker for multicopy plasmid content. A nonfluorescent fluorogenic substrate is enzymatically cleaved by intracellular beta-galactosidase to form a fluorescent product. The accumulation of fluorescent product in single cells was found to depend on bulk substrate concentration and single-cell enzyme activity in a fashion that could not be described by a Michaelis-Menten kinetic rate form. It has been demonstrated that diffusion limitation rather than enzyme activity can determine the level of single-cell fluorescence under certain assay conditions, and a mathematical model has; been formulated which accounts for substrate and product diffusion. Guided by the mathematical model, the assay conditions were modified to allow measurement of single-cell enzyme activity rather than diffusion rates.     

A fluorescent assay of proteinases in cultured mammalian cells

We have demonstrated proteinase activity in unfixed cells grown on tissue culture plates with a technique using 5-nitrosalicylaldehyde and peptide derivatives of 4-methoxy-2-naphthylamine. The 4-methoxy-2-naphthylamine liberated by proteinase activity reacts with 5-nitrosalicylaldehyde to form a fluorescent product. The substrates CBZ-alanyl-arginyl-arginyl-4-methoxy-2-naphthylamine and lysyl-alanyl-4-methoxy-2-naphthylamine, were used for the direct visual detection of two arylamidase activities in BALB/c 3T3 and C3H 10T 1/2 cells. With low magnification these enzyme activities can be detected in single clones; with higher magnification the fluorescent product can be seen within the cytoplasm of single cells.     

Enzyme reactions at the surface of living cells. I. Electric repulsion of charged ligands and recognition of signals from the external milieu

The dynamic behaviour of a polyelectrolyte-bound enzyme is studied when diffusion of substrate or diffusion of product is coupled to electric repulsion and to Michaelis-Menten enzyme reaction. The definition of the classical concepts of electric partition coefficients and Donnan potential of a polyelectrolyte membrane has been extended under global non-equilibrium conditions. This extension is permissible when a strong repulsion exists of substrate and product by the fixed negative charges of the membrane. Coupling between product diffusion, electric repulsion and enzyme reaction at constant advancement may result in a hysteresis loop of the partition coefficient as the product concentration is increased in the reservoir. This hysteresis loop vanishes as the rate of product diffusion increases. No hysteresis loop may occur when electric repulsion effects are coupled to substrate diffusion and reaction. The existence of multiple values of the partition coefficient for a fixed concentration of product implies that the membrane may store short-term memory of the former product concentration present in the external milieu. The occurrence of hysteresis generated by coupling enzyme reaction, product diffusion, electric partition effects at constant advancement of the reaction may be viewed as a sensing device of product concentration in the external milieu. Surprisingly, non-linearities required to generate this sensing device come from electrostatic effects and not from enzyme kinetics.     

A barrier to diffusion in pseudoplasmodia of Dictyostelium discoideum

Several enzymatic activities have been reported to be preferentially localized in the anterior portions of pseudoplasmodia of Dictyostelium discoideum. Since anterior cells are responsible for formation of the stalk during fruiting body construction, it has been suggested that accumulation of these enzymes may direct the cells toward stalk differentiation. However, the evidence for enzyme localization has come only from histochemical studies. We have assayed for succinoxidase and several dehydrogenase activities in cell free extracts of isolated anterior and posterior fragment and found no significant differences in specific activities, although by histochemical techniques each is apparently localized in the anterior cells. The preferential staining appears to be a consequence of a barrier to diffusion that is more effective at the back than at the front in limiting entry of the histochemical chromogen into pseudoplasmodia. The barrier appears to be the glycoprotein surface sheath that surrounds the pseudoplasmodium. The consequences of a barrier to diffusion of compounds into and out of pseudoplasmodia are discussed in relation to a mechanism that could give cells information concerning their position in this organism.     

Kinetic properties of enzyme populations in vivo: alkaline phosphatase of the Escherichia coli periplasm.

Studies were conducted to determine the role that diffusion may play in the in vivo kinetics of the Escherichia coli periplasmic enzyme, alkaline phosphatase (AP, encoded by the gene pho A). Passive diffusion of solutes, from solution into the periplasm, is thought to occur mainly through porins in the outer membrane. The outer membrane therefore serves as a diffusion barrier separating a population of periplasmic enzymes from bulk substrate. E. coli strains containing a plasmid with the pho A gene linked to the lac promoter were used in this study in order to vary the amount of enzyme per cell. Alkaline phosphatase assays were conducted with intact cells, and the substrate concentration at half-maximum velocity (normally the Km for the enzyme) was determined as a function of enzyme concentration per cell. The results showed that diffusion of substrate to the enzyme caused as much as a 1000-fold change in this parameter, compared to that of purified enzyme. This suggested that diffusion was the rate-limiting step of the enzymatic reaction in these cells. In agreement with this type of reaction, Eadie-Hofstee and Lineweaver-Burk plots were not linear. At their extremes, these plots represented two types of kinetics. At high substrate concentration, equilibrium of substrate between bulk solution and the periplasm was achieved, and the kinetic properties conformed to Michaelis-Menten. At low substrate concentrations, there were a large number of free (unbound) enzymes, and each substrate molecule that entered the periplasm, through the diffusion barrier, resulted in product formation.(ABSTRACT TRUNCATED AT 250 WORDS)     

Alkaline phosphatase and an acid arylamidase as marker enzymes for normal and transformed WI-38 cells

A survey of eleven enzyme activity levels in normal and SV40 transformed (VA-13) WI-38 cells revealed that the transformed cell enzymes differed by a quantitative and qualitative change of alkaline phosphatase and a quantitative loss of an arylamidase. Alkaline phosphatase activity was found to be elevated in the transformed cells at confluency but not in log phase cultures. This elevated activity was heat stable, L-homoarginine resistant and L-phenylalanine sensitive and is probably the term placental isoenzyme. In nontransformed WI-38 cells, the alkaline phosphatase was heat labile, L-homoarginine sensitive and L-phenylalanine resistant and so is probably the liver isoenzyme. While the arylamidase activity from both normal and transformed WI-38 cells had identical pH optima and Km values, the activity was approximately 20 times higher in confluent WI-38 cells than in confluent VA-13 cells. Cytochemical staining techniques for both activities are described that permit identification of fluorescent product within the cells, analysis of activity levels, and separation of cells with high and low activities. Mixtures of WI-38 cells and VA-13 cells separated by flow cytometry on the basis of arylamidase activity were subsequently evaluated for alkaline phosphatase isoenzyme and found to have been simultaneously separated into heat labile and heat stable samples.     

Flow cytometry analysis of recombinant Saccharomyces cerevisiae populations

A new fluorescent stain has been developed for detecting cloned beta-galactosidase activity in individual cells of Saccharomyces cerevisiae by flow cytometry. The staining reaction is based on enzymatic cleavage of alpha-naphthol-beta-D-galactopyranoside by intracellular beta-galactosidase and trapping of the liberated naphthol by hexazoniumpararosaniline yielding a fluorescent, insoluble end product. This stain, in connection with an appropriate host strain, has been applied for detecting plasmids encoding inducible beta-galactosidase in unstable recombinant cell populations carrying plasmids with different origins of replication. The method enables rapid determination of the fraction of plasmid-containing cells as well as quantitation of intracellular beta-galactosidase content by kinetic enzyme assay. Inducibility of the marker enzyme is important for maintaining correlation between enzyme and gene content.     

Coupled Protein Diffusion and Folding in the Cell

When a protein unfolds in the cell, its diffusion coefficient is affected by its increased hydrodynamic radius and by interactions of exposed hydrophobic residues with the cytoplasmic matrix, including chaperones. We characterize protein diffusion by photobleaching whole cells at a single point, and imaging the concentration change of fluorescent-labeled protein throughout the cell as a function of time. As a folded reference protein we use green fluorescent protein. The resulting region-dependent anomalous diffusion is well characterized by 2-D or 3-D diffusion equations coupled to a clustering algorithm that accounts for position-dependent diffusion. Then we study diffusion of a destabilized mutant of the enzyme phosphoglycerate kinase (PGK) and of its stable control inside the cell. Unlike the green fluorescent protein control''s diffusion coefficient, PGK''s diffusion coefficient is a non-monotonic function of temperature, signaling ‘sticking’ of the protein in the cytosol as it begins to unfold. The temperature-dependent increase and subsequent decrease of the PGK diffusion coefficient in the cytosol is greater than a simple size-scaling model suggests. Chaperone binding of the unfolding protein inside the cell is one plausible candidate for even slower diffusion of PGK, and we test the plausibility of this hypothesis experimentally, although we do not rule out other candidates.     

High-throughput Fluorometric Measurement of Potential Soil Extracellular Enzyme Activities

Microbes in soils and other environments produce extracellular enzymes to depolymerize and hydrolyze organic macromolecules so that they can be assimilated for energy and nutrients. Measuring soil microbial enzyme activity is crucial in understanding soil ecosystem functional dynamics. The general concept of the fluorescence enzyme assay is that synthetic C-, N-, or P-rich substrates bound with a fluorescent dye are added to soil samples. When intact, the labeled substrates do not fluoresce. Enzyme activity is measured as the increase in fluorescence as the fluorescent dyes are cleaved from their substrates, which allows them to fluoresce. Enzyme measurements can be expressed in units of molarity or activity. To perform this assay, soil slurries are prepared by combining soil with a pH buffer. The pH buffer (typically a 50 mM sodium acetate or 50 mM Tris buffer), is chosen for the buffer''s particular acid dissociation constant (pKa) to best match the soil sample pH. The soil slurries are inoculated with a nonlimiting amount of fluorescently labeled (i.e. C-, N-, or P-rich) substrate. Using soil slurries in the assay serves to minimize limitations on enzyme and substrate diffusion. Therefore, this assay controls for differences in substrate limitation, diffusion rates, and soil pH conditions; thus detecting potential enzyme activity rates as a function of the difference in enzyme concentrations (per sample).Fluorescence enzyme assays are typically more sensitive than spectrophotometric (i.e. colorimetric) assays, but can suffer from interference caused by impurities and the instability of many fluorescent compounds when exposed to light; so caution is required when handling fluorescent substrates. Likewise, this method only assesses potential enzyme activities under laboratory conditions when substrates are not limiting. Caution should be used when interpreting the data representing cross-site comparisons with differing temperatures or soil types, as in situ soil type and temperature can influence enzyme kinetics.     

Diffusion artefacts and tissue fixation in thyroperoxidase cytochemistry

The distribution of endogenous peroxidase activity in rat, mouse and human thyroid follicle cells was studied with electron microscopic cytochemistry after incubation in 3-3'-diaminobenzidine (DAB). In all three species enzyme activity was found at the apical plasma membrane (facing the follicle lumen) as well as in intracellular compartments. The enzyme activity in the apical plasma membrane was more sensitive to changes in fixation conditions than the activity in intracellular compartments. Under optimal conditions more than 90% of the follicle cells in normal rat thyroids displayed a cytochemical reaction at the apical plasma membrane. In all three species the reaction product at the apical plasma membrane formed a gradient which extended into the colloid which otherwise was unreactive. Evidence obtained indicated that this gradient was not due to the presence of soluble peroxidase in the lumen but most likely signified the diffusion of the reaction product from the membrane-bound enzyme.     

Development of an enzyme activity screening system for β-glucosidase-displaying yeasts using calcium alginate micro-beads and flow sorting

Recent reports on high-speed affinity screening systems for yeast cells using flow cytometry have not been adapted to screening yeast cells that display hydrolyzing enzymes, since the fluorescent molecules which are released from fluoresceinated substrate diffuse into solution after enzymatic reaction. In this research, yeast cells displaying β-glycosidase were individually captured in micro-sized calcium alginate beads by using the newly developed reverse micelle method to prevent diffusion of hydrolyzed fluorescent substrates. By adopting flow sorting to these captured cells, active cells were successfully enriched about 82-fold from a mixed suspension with negative controls. This system should be a useful method for high-speed screening of yeast cells that display various hydrolyzing enzymes and has potential application to screening randomized libraries of enzyme-displayed yeast cells with higher activities.     

Determination of intracellular Ca2+ in cells of intact wheat roots: loading of acetoxymethyl ester of Fluo‐3 under low temperature

Loading of Ca²⁺-sensitive fluorescent probes into plant cells is an essential step to measuring activities of cytoplasmic free Ca²⁺ ions with a fluorescent imaging technique. A major barrier to the loading of the fluorescent probes into plant cells using the acetoxymethyl (AM) esters of the Ca²⁺-sensitive dyes is the presence of cell-wall associated esterases. These esterases hydrolyse the esterified form of the fluorescent probes, rendering the probes membrane-impermeable. A novel non-invasive loading protocol was described in this paper to load the Ca²⁺-sensitive fluorescent probe Fluo-3/AM ester into apical cells of intact wheat roots by incubating the roots in Fluo-3/AM ester solution at 4°C for 2 h followed by 2-h incubation in the dye-free solution at 20°C. The incubation at low temperature inhibited extracellular hydrolysis of Fluo-3/AM ester but had less effect on diffusion of membrane-permeable Fluo-3/AM ester across the plasma membrane, because hydrolysis of Fluo-3/AM ester by extracellular esterases is a chemical process (high Q₁₀), while diffusion of Fluo-3/AM across the plasma membrane is a physical process (low Q₁₀). The Fluo-3/AM ester, accumulated in the root cells during the low temperature incubation, was then cleaved by intracellular esterases during the incubation at 20°C, releasing the membrane-impermeable Ca²⁺-sensitive Fluo-3 in the cytoplasm. The root cells loaded with Fluo-3 showed strong intracellular fluorescence under confocal microscopy. The fluorescence from the root cells was sensitive to the Ca²⁺ ionophore and hydrogen peroxide, indicating that the intracellular fluorescence was due to intracellular Ca²⁺ ions.     

Detection of glycosylase, endonuclease and methyltransferase enzyme activities using immobilized oligonucleotides

A novel rapid assay for detection of DNA glycosylase, restriction endonuclease, and DNA methyltransferase enzyme activities is presented. The assay is based on enzyme-dependent label release (in case of glycosylase and endonuclease), or non-release (in case of methyltransferase) into solution from end-labeled DNA immobilized on solid support (CPG or Tenta Gel S-NH2). The assay has been validated for monitoring activity of repair enzyme uracil-DNA glycosylase, restriction endonucleases SsoII, MvaI and EcoRII and (cytosine-5)-DNA methyltransferase SsoII. Two types of labels have been tested and found compatible with the assay: radioactive (32P) and fluorescent (rhodamine B and fluorescein). The enzyme activity is estimated as a ratio of the label released into solution to the total amount of the label. Use of fluorescent labeling facilitates detection while use of solid phase-immobilized substrates facilitates product separation, improved assay sensitivity, and increases throughput of assay. Proposed technique provides an estimate of enzyme activity but not its specific activity. Thus, the assay will most valuable in the applications where rapid estimation of enzyme activity is necessary.     

Influence of substrate and product diffusion on the heterogeneous kinetics of enzymic reversible reactions

When a reversible reaction is catalyzed by a surface bound enzyme, the diffusion of both substrate and product can considerably modify the kinetic properties of the reaction. According to this theoretical analysis, the enzyme activity is decreased due to the presence of substrate and product concentration gradients in the enzyme microenvironment, and the relative kinetic importance of the two diffusion steps mainly depend on the value of a dimensionless criterion inversely proportional to the equilibrium constant. Moreover diffusional effects increase with increasing bound enzyme activity, but decrease with increasing substrate and product concentration. Analytical expressions are established for the limiting values of substrate and product concentrations in the enzyme microenvironment, as well as for the increase in half-maximal-activity substrate concentration in the presence of substrate and product diffusional limitations.     

Ultrastructural localization of xanthine oxidase activity in the digestive tract of the rat

Summary Precise localization of xanthine oxidase activity might elucidate physiological functions of the enzyme, which have not been established so far. Because xanthine oxidase is sensitive to chemical (aldehyde) fixation, we have localized its activity in unfixed cryostat sections of rat duodenum, oesophagus and tongue mounted on a semipermeable membrane. Previous studies had shown that this procedure enables the exact localization of activities of peroxisomal oxidases with maintenance of acceptable ultrastructure. Moreover, leakage and/or diffusion of enzyme molecules was prevented with this method. The incubation medium to detect xanthine oxidase activity contained hypoxanthine as substrate and cerium ions as capturing agent for hydrogen peroxide. After incubation, reaction product in the sections was either visualized for light microscopy or sections were fixed immediately and processed for electron microscopy. At the ultrastructural level, crystalline reaction product specifically formed by xanthine oxidase activity was found to be present in the cytoplasmic matrix of enterocytes and goblet cells and in mucus of duodenum. Moderate activity was found in the cytoplasm of apical cell layers of epithelia of oesophagus and tongue, with highest activity in the cornified layer. Moreover, large amounts of reaction product were found to surround bacteria present between cell remnants of the cornified layer of the oesophagus. Many bacteria surrounded by the enzyme showed signs of destruction and/or cell death. The intracellular localization of xanthine oxidase activity in the cytoplasm of epithelial cells as well as the extracellular localization suggest that the enzyme plays a role in the lumen of the digestive tract, for instance in the defence against microorganisms.     

Extracellular metabolism-dependent uptake of lysolipids through cultured monolayer of differentiated Caco-2 cells

Glycerophospholipids are known to be hydrolyzed in the intestinal lumen into free fatty acids and lysophospholipids that are then absorbed by the intestinal epithelial cells. A monolayer of enterocyte-differentiated Caco-2 cell is often used to assess the intestinal bioavailability of nutrients. In this study, we examined how differentiated Caco-2 cells process lysoglycerolipids such as lysophosphatidylcholine (LPC). Our findings were twofold. (1) Caco-2 cells secreted both a lysophospholipase A-like enzyme and a glycerophosphocholine-phosphodiesterase enzyme into the apical, but not basolateral, lumen, suggesting that food-derived LPC is converted to a free fatty acid, sn-glycerol-3-phosphate, and choline through two sequential enzymatic reactions in humans. The release of the latter enzyme was differentiation-dependent. (2) Fatty acid-releasing activities toward exogenous fluorescent LPC, lysophosphatidic acid and monoacylglycerol were shown to be higher on the apical membranes of Caco-2 cells than on the basolateral membranes. These results suggest that human intestinal epithelial cells metabolize lysoglycerolipids by two distinct mechanisms involving secreted or apical-selective expression of metabolic enzymes.     

Localization of GFP in frozen sections from unfixed mouse tissues: immobilization of a highly soluble marker protein by formaldehyde vapor.

Green fluorescent protein (GFP) and its variants, such as enhanced GFP (EGFP), have been introduced into mammalian cells by transgenes, e.g., to distinguish donor from host cells after transplantation. Free GFP is extremely soluble and leaks out from liquid-covered cryostat sections so that fixation of whole organs before sectioning has been mandatory. This precludes the analysis of serial sections with respect to fixation-sensitive enzyme activities and antigens. We describe here a vapor fixation for sections from unfixed cryostat blocks of tissue that allows unrestricted enzyme and immunohistochemistry on adjacent sections, as demonstrated for cross-striated muscle and other tissues from EGFP transgenic "green mice" and for a transplantation experiment.     

Microsomal cytochrome P-450 from neonatal pig testis. Purification and properties of A C21 steroid side-chain cleavage system (17 alpha-hydroxylase-C17,20 lyase)

A cytochrome P-450 from neonatal pig testicular microsomes was purified to homogeneity as judged by electrophoresis on sodium dodecyl sulfate-polyacrylamide gels and by double diffusion on agar against antiserum raised in rabbits against the protein. The enzyme shows both 17 alpha-hydroxylase (Vmax = 4.6 nmol of product/min/nmol of P-450, Km = 1.5 microM) and C17,20 lyase (Vmax = 2.6 nmol of product/min/nmol of P-450, Km = 2.4 microM) activities. Both activities require NADPH and a flavoprotein P-450 reductase; microsomal P-450 reductase from pig and rat livers was used in these studies. The enzyme possesses a single subunit of molecular weight 59,000 +/- 1,000 as determined by electrophoresis on polyacrylamide with sodium dodecyl sulfate and by chromatography on sodium dodecyl sulfate-Sephadex. The enzyme is a glycoprotein and contains 8 nmol of heme/mg of protein and 40 nmol of phospholipid/mg of protein. All heme detected by pyridine hemochromogen is accounted for as P-450 by difference spectroscopy of the reduced P-450.carbon monoxide complex. This complex shows an absorbance maximum at 448 nm with no evidence of P-420. These studies raise the possibility that one microsomal protein (cytochrome P-450) may possess two enzymatic activities (hydroxylase and lyase).     

Enzyme diffusion and action on soluble and insoluble substrate biopolymers

The action of enzymes on soluble and insoluble substrate biopolymers is discussed, taking into account enzyme diffusion along the biopolymer “surface” and interaction with interspersed ligand groups that may be modified by the action of the enzyme. It is shown that movement of the enzyme under trhe combined effect of these two processes can be described as a diffusion process characterized by an apparent diffusion coefficient that generally depends on both time and position. Equations describing the system are formulated and some specific examples analyzed in terms of analytical or numerical solutions. The concentration distributions of both the enzyme and the substrate (or product ) were obtained for different systems for which the apparent diffusion coefficient is a function of time only, as well as of both time and position. The relevance of the formulation, as developed, to systems in which reduction in dimensionality leads to enhanced enzyme efficiency is discussed, and possible uses of the theory in studies of biopolymer structure and enzyme-biopolymer interactions are suggested.     

Incorporation of fluorescent enzyme substrates in agarose gel for in situ zymography

The currently available methods for the detection of proteases in tissue sections are characterized by limited substrate specificity and low sensitivity and are also cumbersome. We have developed a novel in situ zymography method that uses a synthetic substrate conjugated to a fluorescent tag for detection of proteases in tissue sections. In the presence of active enzyme, the fluorescent tag is cleaved off from the substrate peptide chain resulting in an approximately 100-fold increase in the fluorescent signal. In order to minimize the diffusion of the fluorescent tag, the substrate is incorporated into 1% agarose prior to overlaying onto the tissue section. This method retains the morphological details of the tissue section, is highly sensitive and specific for the designated peptide sequence, and provides information regarding the functional status of the enzyme. Thus, this method could be used for detection and monitoring of enzymatic activity in tissue sections for a variety of applications.