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Antimicrobial Agents and Chemotherapy, August 2001, p. 2215-2223, Vol. 45, No. 8
0066-4804/01/$04.00+0   DOI: 10.1128/AAC.45.8.2215-2223.2001
Copyright © 2001, American Society for Microbiology. All rights reserved.

Kinetic Study of Two Novel Enantiomeric Tricyclic beta -Lactams Which Efficiently Inactivate Class C beta -Lactamases

Mateja Vilar,1 Moreno Galleni,4 Tom Solmajer,2,3 Boris Turk,1 Jean-Marie Frère,4 and André Matagne4,*

Laboratoire d'Enzymologie, Centre for Protein Engineering, University of Liège, Institut de Chimie, B6, B-4000 Liege (Sart Tilman), Belgium,4 and Department of Biochemistry and Molecular Biology, Institut Jozef Stefan, 1000 Ljubljana,1 Department of Molecular Modelling and NMR Spectroscopy, National Institute of Chemistry, 1115 Ljubljana,2 and Lek, d. d., Research and Development, 1526 Ljubljana,3 Slovenia

Received 19 July 2000/Returned for modification 26 January 2001/Accepted 3 May 2000


    ABSTRACT
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

A detailed kinetic study of the interaction between two ethylidene derivatives of tricyclic carbapenems, Lek 156 and Lek 157, and representative beta -lactamases and D-alanyl-D-alanine peptidases (DD-peptidases) is presented. Both compounds are very efficient inactivators of the Enterobacter cloacae 908R beta -lactamase, which is usually resistant to inhibition. Preliminary experiments indicate that various extended-spectrum class C beta -lactamases (ACT-1, CMY-1, and MIR-1) are also inactivated. With the E. cloacae 908R enzyme, complete inactivation occurs with a second-order rate constant, k2/K', of 2 × 104 to 4 × 104 M-1 s-1, and reactivation is very slow, with a half-life of >1 h. Accordingly, Lek 157 significantly decreases the MIC of ampicillin for E. cloacae P99, a constitutive class C beta -lactamase overproducer. With the other serine beta -lactamases tested, the covalent adducts exhibit a wide range of stabilities, with half-lives ranging from long (>4 h with the TEM-1 class A enzyme), to medium (10 to 20 min with the OXA-10 class D enzyme), to short (0.2 to 0.4 s with the NmcA class A beta -lactamase). By contrast, both carbapenems behave as good substrates of the Bacillus cereus metallo-beta -lactamase (class B). The Streptomyces sp. strain R61 and K15 extracellular DD-peptidases exhibit low levels of sensitivity to both compounds.


    INTRODUCTION
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Since the introduction of benzylpenicillin in clinical trials about 60 years ago, the effectiveness of penicillins and related compounds (beta -lactam antibiotics) has been continuously challenged by the emergence of resistant pathogenic strains. Although bacteria have developed several strategies for escaping the lethal actions of beta -lactam antibiotics (13, 31, 42), the most common and often the most efficient mechanism is the synthesis of beta -lactamases (14, 20, 29, 48). These enzymes, which are usually secreted into the external medium by gram-positive species and into the periplasm by their gram-negative counterparts, very efficiently catalyze the irreversible hydrolysis of the amide bond of the beta -lactam ring, yielding biologically inactive products. Despite the large number (~300 [7]) of beta -lactamases described to date, these enzymes are divided into only four classes, classes A, B, C, and D, on the basis of their amino acid sequences (35). Enzymes of classes A, C, and D are active-site serine beta -lactamases, whereas class B enzymes are Zn2+ dependent.

Therefore, much effort has been devoted to the synthesis of molecules which would not be cleaved by beta -lactamases of pathogenic strains and which have suitable physicochemical and pharmacodynamic profiles. Absolute stability has, however, not been achieved with any one drug. An alternative strategy to the use of these so-called beta -lactamase-stable compounds rests on the use of two beta -lactams in synergy: one is an efficient beta -lactamase inactivator but a poor antibiotic, while the second is a good, but beta -lactamase-sensitive, antibiotic. The former is able to potentiate the action of the latter by protecting it from enzymatic hydrolysis (31, 43). Thus, beta -lactamase inactivators such as clavulanic acid, sulbactam, and tazobactam have been successfully used against bacteria that produce the ubiquitous and prevalent TEM-1 or TEM-2 and SHV-1 class A beta -lactamases (38). These "wonder" drugs display, however, little or no activity against class B and C enzymes. In addition, bacterial susceptibility to such combinations has recently been challenged by the spontaneous appearance of new beta -lactamases of the TEM family, which are resistant to the mechanism-based inactivators (9, 28, 46, 50).

Recently, by following a rational drug design approach, novel tricyclic carbapenem compounds (12) with potential inhibitory activity against serine beta -lactamases were synthesized. In this paper we describe the kinetics of the interaction between two of these compounds (Lek 156 and Lek 157; Fig. 1) and representative beta -lactamases of the four classes. Streptomyces sp. strains R61 and K15 D-alanyl-D-alanine peptidases (DD-peptidases), which are prototypes for penicillin-binding proteins (23), were also studied. The specificities of the interactions of Lek 156 and Lek 157 with active-site serine beta -lactamases and DD-peptidases, which constitute two closely related families of penicillin-recognizing enzymes (26), have been determined. The influence of the compounds on the MIC of ampicillin for Enterobacter cloacae P99 was also evaluated.


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FIG. 1.   Structures of Lek 157 {sodium (4S,8S,9R)-4-methoxy-10- [(E)-ethylidene]-11-oxo-1-azatricyclo[7.2.0.03,8]undec-2-en-2-carboxylate} (A), Lek 156 {sodium (4R,8R,9R)-4-methoxy-10-[(E)-ethylidene]-11-oxo-1-azatricyclo[7.2.0.03,8]undec-2-en-2-carboxylate} (B), and Lek 1A [3-(1-carboxy-1-propenyl)-3',4,5,6-tetrahydro-3H-isoindole-1-carboxylate] (C), which is obtained from base- or enzyme-catalyzed hydrolysis of the first two compounds.


    MATERIALS AND METHODS
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Compounds. Lek 156 and Lek 157 (Fig. 1) were prepared by Lek (Ljubljana, Slovenia), as described by Copar et al. (12). Tazobactam was a gift from Wyeth-Ayerst Laboratories (West Chester, Pa.). Nitrocefin was purchased from Unipath (Basingstoke, United Kingdom). Ampicillin was purchased from Sigma Chemical Co. (St. Louis, Mo.). Phenylacetyl-D-alanyl-thio-lactate (S2x) was a gift of Hoechst-Marion-Roussel (Romainville, France), and benzoyl-D-alanyl-thioglycolate (S2d) was synthesized as described by Adam et al. (1).

Enzymes. The various enzymes studied in the present work are listed in Table 1. All enzyme preparations were at least 95% pure.

                              
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TABLE 1.   Enzymes used in the present work

In vitro susceptibility tests. The MICs of ampicillin were determined in the absence or in the presence of Lek 156 or Lek 157 at final concentrations of 10 or 30 µg/ml by a dilution technique with Mueller-Hinton broth and a bacterial inoculum of approximately 5 × 105 CFU per tube, according to the guidelines of the National Committee for Clinical Laboratory Standards. The strain tested was E. cloacae P99, a strain which constitutively overproduces a class C beta -lactamase (19). The P99 and the Q908 enzymes are virtually identical (24, 25). A control experiment was also performed in the presence of 10 µg of tazobactam per ml.

Experimental conditions for kinetic studies. All kinetic measurements were performed at 30°C. The buffer for beta -lactamases of classes A and D was 50 mM sodium phosphate (pH 7.0), that for the class C beta -lactamase was 10 mM HEPES (pH 7.0), that for the class B beta -lactamase was 25 mM HEPES (pH 7.5) with 100 µM ZnSO4; that for the DD-peptidase of Streptomyces sp. strain R61 was 10 mM sodium phosphate (pH 7.0) with 0.4 M NaCl, and that for the enzyme of Streptomyces sp. strain K15 was 25 mM sodium phosphate (pH 7.2) with 4 µM dithiothreitol. Dilutions of the beta -lactamases below a concentration of 0.1 mg/ml were made with buffer solutions containing 0.1 mg of bovine serum albumin per ml.

Hydrolysis of Lek 156 and Lek 157 was directly monitored at 310 nm by using changes in varepsilon M (Delta varepsilon M) values of -1,850 and -1,350 M-1 cm-1, respectively.

Nitrocefin was used as the reporter substrate in all experiments performed with beta -lactamases. The absorbance was monitored at 482 nm, and the conditions were chosen such that the level of use of nitrocefin was below 10%. The concentration of nitrocefin (100 µM) was such that the correction factor alpha  (see equation 5 in the Evaluation of the Kinetic Results section) was ~5.3 for the beta -lactamase of E. cloacae 908R (Km of the reporter substrate [Km,S] = 23 ± 2 µM), ~2.8 for the TEM-1 beta -lactamase (Km,S = 55 ± 5 µM), and ~7.7 for the OXA-10 beta -lactamase (Km,S = 15 ± 1 µM), so that no large errors were introduced [15]. These Km,S values were derived from the analysis of complete hydrolysis time courses obtained with nitrocefin and the respective enzymes (15).

The reporter substrates for the Streptomyces sp. strain K15 and R61 DD-peptidases were 400 µM S2x and S2d, respectively, and hydrolysis was monitored in the presence of a chemical agent that reacts with thiol groups (49). 5,5'-Dithionitrobenzoic acid was used at 1.4 mM, and the absorbance was monitored at 412 nm. Protection by the reporter substrates did not have to be considered, since with both enzymes [S] was <<Km (i.e., alpha  was equal to 1), where [S] is the concentration of the reporter substrate.

With the Streptomyces sp. strain R61 DD-peptidase, inactivation was also monitored by measuring the quenching of fluorescence intensity (lambda  for excitation, 280 nm, lambda  for emission, 320 nm), as described by Frère et al. (22).

UV and visible spectroscopic measurements were performed on a Beckman DU-8 spectrophotometer. Intrinsic fluorescence emission was recorded with a Perkin-Elmer LS50 spectrometer.

Data analysis. Kinetic data were fitted by linear or nonlinear regression with the program GraFit (32).

Evaluation of the kinetic results. (i) Kinetic models. Both active-site serine beta -lactamases and DD-peptidases generally hydrolyze their substrates according to a simple three-step acylation-deacylation pathway (23, 35, 48), as follows: k+1    k2      k3 E +C right-left-harpoons  EC right-arrow EC* right-arrow E + P(s) (model 1a) k-1

where E is the enzyme, C is the antibiotic, and P(s) is the inactive degradation product(s) of the antibiotic and where k2 and k3 are the first-order rate constants for acylation and deacylation, respectively. If k3 is very low or equal to zero, the antibiotic becomes a transient or irreversible inactivator (model 1b) (37, 39). EC is the noncovalent Henri-Michaelis complex, and EC* is the acyl-enzyme. In most cases, the reaction can be quantitatively described by the Henri-Michaelis-Menten equation ([E]0 << [C]0), and the steady-state parameters are as follows:
k<SUB><UP>cat</UP></SUB><UP> = </UP>k<SUB>2</SUB>·[k<SUB>3</SUB>/(k<SUB>2</SUB>+k<SUB>3</SUB>)] (1)
and
K<SUB>m</SUB>=k<SUB>3</SUB>·[K′/(k<SUB>2</SUB>+k<SUB>3</SUB>)] (2)
where
K′=(k<SUB>−1</SUB>+k<SUB>2</SUB>)/k<SUB>+1</SUB> (3)
and
k<SUB><UP>cat</UP></SUB><UP>/</UP>K<SUB>m</SUB>=k<SUB>2</SUB>/K′ (4)
Equation 4 shows that the apparent second-order rate constant for substrate hydrolysis, kcat/Km (also called the specificity constant), corresponds to the apparent second-order rate constant for acyl-enzyme formation (k2/K').

More complex interactions involving rearrangement of the initially formed acyl-enzyme (EC*) have been encountered (model 2a):  k+1    k2     k3 E + C right-left-harpoons EC right-arrow EC* right-arrow E + P (model 2a) k-1       down-arrow k4 FC** right-arrow E + P' k5

where EC** is a second acyl-enzyme, in which the antibiotic moiety has rearranged. Note that this inactivated species might also rearrange back to EC* (k-4 not equal  0). It is, however, usually impossible to distinguish between the k-4 and the k5 steps (because Pright-arrowP'), and it is arbitrarily assumed that k-4 is equal to 0 (36, 40).

When k3 is equal to 0 or k3 is <<k4, all the reaction flux is channeled through the second acyl-enzyme, EC** (model 2a'). Irreversible inactivation of the enzyme occurs if k3 and k5 are equal to 0 (model 2b) or if k5 is equal to 0 (model 2c).

Model 2a was proposed by Faraci and Pratt (16) to account for the interaction between active-site serine beta -lactamases and some cephalosporin-like compounds exhibiting a leaving group on C-3'. Models 2a, 2a', and 2b were used to characterize the interactions of various enzymes with beta -lactamase-stable compounds (37, 39, 40). With the class A beta -lactamases of Actinomadura sp. strain R39 and Streptomyces albus G, both beta -iodopenicillanate (21) and sulbactam (36) seemed to react according to model 2c. An even more complex mechanism was suggested to describe the interaction between both clavulanate (10, 11) and sulbactam (3, 4) and the TEM-2 beta -lactamase. This model involves a third branch, which accounts for additional intramolecular events that lead to irreversible inactivation of the enzyme (5, 31).

(ii) Determination of kinetic parameters. Progressive inactivation of the Streptomyces sp. strain K15 and R61 DD-peptidases was monitored discontinuously by measuring the residual activity either after increasing periods of time at fixed inhibitor concentrations or after a fixed period of time at different inhibitor concentrations (30), to give pseudo-first-order rate constants for inactivation (ki). With beta -lactamases, inactivation can be monitored continuously with a reporter substrate (15). When inactivation is complete, a steady state (vss = 0) is eventually reached and the pseudo-first-order inactivation rate constant, ki, can be computed (15). For all the models described above, with the exception of models 2a and 2c, the value of ki is given by
k<SUB>i</SUB>=k<SUB>r</SUB>+(k<SUB>2</SUB>·[C])/(K′·&agr;+ [C]) (5)
where kr takes the values of zero for models 1b and 2b, the value of k3 for model 1a, and the value of k5 for model 2a'. The correction factor alpha  equal to 1 + [S]/Km,S accounts for the protection of the enzyme by the reporter substrate (S).

Values of ki were measured at various carbapenem concentrations [C], and when ki exhibited a hyperbolic variation with [C] the individual values of k2 and K' could be computed by nonlinear regression. When K' was too high, only the ratio k2/K' could be obtained.

When k3 (model 1a) or k5 (model 2a') is not negligible, inactivation is incomplete and the reporter substrate utilization reaches a steady state (vss not equal  0). Here, the Km value for the carbapenem (Km,C) can be computed from
v<SUB><UP>0</UP></SUB><UP>/</UP>v<SUB><UP>ss</UP></SUB><UP> = 1+</UP>K<SUB>m,<UP>S</UP></SUB><UP>/</UP>(K<SUB>m,<UP>S</UP></SUB><UP> + </UP>[<UP>S</UP>])<UP> · </UP>[<UP>C</UP>]<UP>/</UP>K<SUB>m,<UP>C</UP></SUB> (6)
which takes into account the competition between the two substrates at the steady state. v0 is the initial rate of hydrolysis of the reporter substrate in the absence of carbapenem.

Much more complex kinetics prevail for models 2a and 2c, which describe branched pathway mechanisms. In both cases, the ratio of the k3 and k4 rate constants (k3/k4), Waley's partition ratio (47), represents the ratio of the number of productive turnovers to those reactions that lead to irreversible enzyme inactivation. As described previously (36), k3/k4 can be determined by measuring the residual activity after partial (and possibly transient) inactivation at low values of [C]0/[E]0, where [C]0 and [E]0 are the initial concentrations of antibiotic and enzyme, respectively.

Provided that k3 is k4, conditions can be chosen in which one branch of the pathway has negligible effects on the other (21). Thus, under conditions in which hydrolysis can be neglected ([C]0/[E]0 k3/k4), enzyme inactivation is also characterized by a pseudo-first-order inactivation rate constant (ki), which can be measured as described above for the linear pathways. In the case of model 2c, the following equation applies:
k<SUB>i</SUB>=(k<SUB>i</SUB>)<SUB><UP>lim</UP></SUB><UP> · </UP>[<UP>C</UP>]<UP>/</UP>([<UP>C</UP>]<UP> + </UP>K<SUB>m</SUB>) (7)
where
K<SUB>m</SUB>=k<SUB>3</SUB>·[K′/(k<SUB>2</SUB>+k<SUB>3</SUB>+k<SUB>4</SUB>)] (8)
and
(k<SUB>i</SUB>)<SUB><UP>lim</UP></SUB><UP> = </UP>k<SUB>2</SUB>·[k<SUB>4</SUB>/(k<SUB>2</SUB>+k<SUB>3</SUB>+k<SUB>4</SUB>)] (9)
and thus
(k<SUB>i</SUB>)<SUB><UP>lim</UP></SUB><UP>/</UP>K<SUB>m</SUB>=(k<SUB>2</SUB>/K′)·(k<SUB>4</SUB>/k<SUB>3</SUB>) (10)
and
k<SUB><UP>cat</UP></SUB><UP>/</UP>(k<SUB>i</SUB>)<SUB><UP>lim</UP></SUB><UP> = </UP>k<SUB>3</SUB>/k<SUB>4</SUB> (11)
where
k<SUB><UP>cat</UP></SUB><UP> = </UP>k<SUB>2</SUB>·[k<SUB>3</SUB>/(k<SUB>2</SUB>+k<SUB>3</SUB>+k<SUB>4</SUB>)] (12)
In this mechanism, (ki)lim is a first-order rate constant characterizing the rate of the inactivation process at saturating inactivator concentrations. An even more complicated value of ki is given for model 2a by equation 13:
k<SUB>i</SUB>=k<SUB>5</SUB>+A·{[<UP>C</UP>]<UP>/</UP>(B+[<UP>C</UP>])} (13)
where
A=k<SUB>2</SUB>·[k<SUB>4</SUB>/(k<SUB>2</SUB>+k<SUB>3</SUB>+k<SUB>4</SUB>)] (14)
and
B=(k<SUB>3</SUB>+k<SUB>4</SUB>)·[K′/(k<SUB>2</SUB>+k<SUB>3</SUB>+k<SUB>4</SUB>)] (15)
In both models 2a and 2c, the steady-state parameters kcat and Km can be determined by initial rate measurements (kcat) and competitive inhibition experiments (Km), performed rapidly before the inactivation process becomes detectable (21).


    RESULTS
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Class A beta -lactamases: NmcA and TEM-1. Both Lek 156 and Lek 157 are readily hydrolyzed by the NmcA enzyme, and the UV spectra of the products (P) are the same whether they are obtained with sodium hydroxide, the NmcA and TEM-1 enzymes, or the Zn2+-containing Bacillus cereus II beta -lactamase as hydrolytic agents (Fig. 2). Hydrolysis of the two compounds was monitored at 310 nm to avoid protein absorption at lower wavelengths. A major absorbance decrease (Delta varepsilon M, -1,850 and -1,350 M-1 cm-1 for Lek 156 and Lek 157, respectively) is followed by a very slow and partial recovery in intensity (Delta varepsilon M approx  1,000 M-1 cm-1 for both compounds; Fig. 2A). This probably arises from the formation of the rearrangement product shown in Fig. 1C, in which the methoxy group of the cyclohexane ring has been eliminated. Indeed, mass spectrometry experiments (M. Vilar, B. Turk, and T. Solmajer, unpublished data) suggest that the major product in these hydrolysis experiments is the 3-(1-carboxy-1-propenyl)-3', 4, 5, 6-tetrahydro-3H-isoindole-1-carboxylate (Lek 1A) rearrangement product (Fig. 1C), which lacks the methoxy group. In addition, it is reasonable to assume that the normal delta -2 pyrroline intermediate covalently rearranges into the tautomeric and thermodynamically more stable delta -1 pyrroline (31).


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FIG. 2.   Spectral changes observed during hydrolysis of 100 µM Lek 156. (A) Hydrolysis by 0.08 µM NmcA beta -lactamase. The heavy solid line corresponds to the starting compound; the dashed line refers to the hydrolysis product obtained after long-term incubation (~24 h). The thin lines are the spectra obtained after intermediate periods of incubation. (B) Difference spectra of the final hydrolysis product against the intact Lek 156 (dashed line) and between the adduct obtained with 60 µM TEM beta -lactamase and the starting compound (solid lines). Delta A, difference in absorbance.

Incubation of NmcA with initial Lek 156 and Lek 157 concentrations up to 20,000 times that of the enzyme did not lead to inactivation, and the kinetic parameters kcat and Km are given in Tables 2 and 3. The very low Km values were measured as Ki with 100 µM nitrocefin as the substrate (41) (Fig. 3), whereas the kcat values were derived from initial rate measurements at saturating concentrations ([C]0 Km).

                              
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TABLE 2.   Kinetic parameters of beta -lactamases for Lek 156a


                              
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TABLE 3.   Kinetic parameters of beta -lactamases for Lek 157a



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FIG. 3.   Dixon plot of inhibition of nitrocefin turn over by the NmcA beta -lactamase in the presence of Lek 157. [C] is the concentration of Lek 157, and v is the initial rate of nitrocefin hydrolysis. A total of 5 to 10 µg of enzyme was added to 450 µl of 100 µM nitrocefin in 50 mM sodium phosphate (pH 7.0) in the presence of various concentrations of Lek 157 (0.4 to 21 µM). The slope of the line obtained by linear regression analysis of the data and under the assumption of a competitive phenomenon yielded Ki (Km) equal to 3.6 ± 0.2 µM.

The spectral changes shown in Fig. 2A suggest that the rearrangement process which follows the opening of the beta -lactam ring is slow. As a consequence, it probably occurs in solution, after hydrolysis of the acyl-enzyme complex, in which case model 1a accounts for the interaction between NmcA and both Lek compounds.

With the TEM-1 enzyme ([C]0/[E]0, <100), a biphasic phenomenon is detected at the onset of hydrolysis of Lek 156 and Lek 157. Following a burst phase, a much slower turnover of the beta -lactam is observed, suggesting a branched pathway as described by models 2a and 2c. With both Lek 156 and Lek 157, the inactivated complexes (EC**) obtained at high [C]0/[E]0 ratios are very stable, in agreement with model 2c. Experiments in which the residual activity of the enzyme was measured at various time intervals after partial (80 to 95%) inactivation indicates very large half-lives (t1/2) for EC** (t1/2 > 4 h; i.e., k5 [or k-4] < 5 × 10-5 s-1). This allows k3/k4 to be determined (see Materials and Methods section) with good accuracy (Tables 2 and 3).

Under conditions in which the horizontal branch of model 2c is observed ([C]0/[E]0 < k3/k4), the hydrolysis of both compounds by TEM-1 is also characterized by a significant absorbance decrease at 310 nm, followed by a very slow and partial recovery of intensity, as observed with NmcA. In addition, the difference in the spectra of the inactivated acyl-enzyme species and the starting compound (Lek 156 or Lek 157) indicates clear similarities between the spectrum of the complex (EC**) and that of the rearranged hydrolyzed compound (Fig. 2B). These results suggest that the inactivated species (EC**) contains a rearranged carbapenem molecule with properties similar to those of the final hydrolysis product (Fig. 1C). This leads to the conclusion that rearrangement of the opened beta -lactam molecule occurs much faster in the enzyme active-site cavity than in solution (Fig. 2A).

The reporter substrate method was used to monitor enzyme inactivation at high values of [C]0/[E]0 (~103 to 105). With Lek 157, the rate of inactivation does not vary between 1 and 20 µM, indicating that Km is <<1 µM and yields a (ki)lim value of (8 ± 0.5) × 10-4 s-1. With Lek 156, (ki)lim was equal to (4 ± 0.4) × 10-4 s-1 and Km was equal to 0.02 ± 0.007 µM.

In short experiments (<60 s), Km values (Tables 2 and 3) were measured as Ki with 100 µM nitrocefin as the substrate. With Lek 156, the Km value obtained by inactivation measurements (0.02 µM) is in good agreement with that derived from competitive inhibition experiments (0.04 µM). The kcat values (Tables 2 and 3) are derived from initial rate measurements at saturating concentrations ([C]0 Km) and at low [C]0/[E]0 values (<40).

Values of k2/K' and k3/k4 were calculated from equations 10 and 11 (Tables 2 and 3). The calculated and experimental values of k3/k4 are in good agreement for both compounds. The k2/K' values are identical to the kcat/Km values calculated from the individual kcat and Km values. These data support the conclusion that the interaction between Lek 156 or Lek 157 and the TEM-1 beta -lactamase is adequately described by model 2c.

Class C beta -lactamase: E. cloacae 908R. The reaction observed with the E. cloacae 908R enzyme appears to be more simple. The two carbapenems form long-lived (t1/2 > 1 h) inactivated complexes with the beta -lactamase, and titration measurements indicate that, in both cases, complete inactivation occurs at an equimolar (1:1) ratio. Thus, the interaction between Lek 156 or Lek 157 and the beta -lactamase from E. cloacae 908R can be interpreted on the basis of a linear pathway. The presence of a putative leaving group at the C-3' positions of these compounds suggests that the accumulated acyl-enzymes are the rearranged adduct (EC**) (model 2a'). The difference spectra (data not shown) between the inactivated species and the starting compounds are closely similar to those shown in Fig. 2B. Thus, the inactivated species obtained with the E. cloacae 908R beta -lactamase probably involves the rearranged carbapenem molecules.

The rate of inactivation was measured as a function of [C] with nitrocefin as the reporter substrate. With Lek 157, a linear increase in ki is found up to [C] equal to 20 µM, in which ki is equal to ~0.13 s-1, from which we obtain k2/K' equal to 36,500 ± 500 M-1 s-1, with k2 being >0.2 s-1, alpha K' being >20 µM (and, hence, K' being >4 µM), and kr being <= 10-3 s-1. In contrast, with Lek 156 a hyperbolic dependence of ki on [C] is observed, from which k2 equal to 0.37 ± 0.05 s-1 and K' equal to 16 ± 4 µM are derived (Fig. 4A), yielding a k2/K' value of about 2.3 × 104 M-1 s-1. At low Lek 156 concentrations, a similar value of k2/K' (17,500 ± 700 M-1 s-1) is obtained from the slope of the linear dependence of ki on [C] (Fig. 4B). The Km value for the hydrolysis of Lek 156 can also be derived from the same kinetic experiments. Only partial inactivation of the enzyme occurs, and thus, after establishment of the final steady state, vss can be measured at various values of [C]. Hence, by using equation 6, a Km of 0.019 ± 0.003 µM, where Km is equal to (k5 · k4 · K')/[(k2 · k5) + (k2 · k4) + (k4 · k5)], is determined (Fig. 4C).


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FIG. 4.   Interaction between the E. Cloacae 908R beta -lactamase and Lek 156. (A) Saturation phenomenon at high concentrations of the compound. The line is drawn from the fit of the data to equation 5 by using the following parameters: k2 equal to 0.37 s-1 and K' equal to 16 µM (alpha K' is equal to 86 µM). Note that above 50 µM, the ki values (>0.135 s-1) become very high so that the mixing dead time constitutes more that 50% of the complete time course, which explains the large errors. (B) The same data described for panel A but with low Lek 156 concentrations ([C]<<alpha K'), from which a k2/K' value of 17,500 M-1 s-1 can be calculated. (C) Competitive inhibition between Lek 156 and the reporter substrate (100 µM nitrocefin) after establishment of the steady state, from which a Km value of 0.02 µM is derived by linear regression of the data according to equation 6.

In another series of experiments, we tried to measure the value of k2 by directly monitoring the hydrolysis of Lek 156 at 310 nm. The size of the burst phase corresponds to the enzyme concentration, confirming that an equimolar concentration of antibiotic is sufficient to inactivate the enzyme. This further supports the hypothesis of a linear pathway. At substrate concentrations ranging from 200 to 1,500 µM (with 3 < [C]0/[E]0 < 30), the progressive inactivation of the enzyme was found to be independent of [C] and yielded ki equal to (0.23 ± 0.03) × 10-2 s-1. This value is about 2 orders of magnitude lower than that obtained for k2 by the reporter substrate method. This apparent discrepancy can be explained on the basis of model 2a'. In this model, the inactivation of the enzyme observed by the reporter substrate method is due to the accumulation of the first acyl-enzyme species (EC*), whereas the enzyme inactivation followed by direct hydrolysis of the compound results from the accumulation of the second acyl-enzyme species (EC**). Thus, the values obtained by the two methods correspond to different rate constants, i.e., k2 (~0.4 s-1) and k4 (~0.002 s-1). In addition, the difference spectra between the inactivated species and Lek 156 and Lek 157, which are very similar to that obtained with Tem-1 (Fig. 2B), indicate that the rearranged hydrolyzed compounds are bound at the active-site cavity (EC**). These results show that model 2a' adequately describes the interaction between the E. cloacae 908R beta -lactamase and the two carbapenem molecules.

Finally, the recovery of activity after partial (80 to 95%) inactivation of the enzyme yielded kr (k5) values of (1.5 ± 0.1) × 10-4 and (0.4 ± 0.07) × 10-4 s-1 for Lek 156 (Fig. 5) and Lek 157, respectively. The values of the kinetic parameters determined with the E. cloacae 908R beta -lactamase are given in Tables 2 and 3.


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FIG. 5.   Recovery of activity of the E. cloacae 908R beta -lactamase after transient inactivation by Lek 156. The enzyme was incubated with an equimolar concentration of inactivator that resulted in ~95% inactivation at time zero, and the samples were assayed against 100 µM nitrocefin after various periods of time. Fitting of the data to a single exponential function gives a kr value of 1.5 × 10-4 s-1.

Although the inactivation pathways were not studied in detail, it could easily be shown that the extended-spectrum, plasmid-encoded ACT-1 and CMY-1 class C beta -lactamases were inactivated after 5 min of contact with 1 µM Lek 157, while 20 µM Lek 157 was necessary for inactivation of MIR-1.

Class D beta -lactamase: OXA-10. As with the TEM-1 beta -lactamase, OXA-10 reacts according to a branched pathway with both compounds. Although complete enzyme inactivation is achieved at much lower [C]0/[E]0 ratios (k3/k4 equal to 4 and 2 for Lek 156 and Lek 157, respectively), the inactivated complexes (EC**) are not completely stable (t1/2, approx 12 and 20 min for Lek 156 and Lek 157, respectively). Hence, we have analyzed the data according to model 2a.

The rate of inactivation by Lek 157 was measured as a function of [C], using the reporter substrate method, with 100 µM nitrocefin at a [C]0/[E]0 of >> k3/k4, and is shown in Fig. 6. Individual values of A and B can be calculated from equation 13, giving A/B equal to (2.3 ± 0.3) × 105 M-1 s-1. From the value of k3/k4 and by use of equations 14 and 15, k2/K' is equal to (7 ± 1) × 105 M-1 s-1. Similar experiments performed with Lek 156 yielded A equal to (68 ± 5) × 10-3 s-1 and B equal to 0.06 ± 0.01 µM, giving A/B equal to (11 ± 2) × 105 M-1 s-1 and, hence, a value of (57 ± 10) × 105 M-1 s-1 for k2/K'.


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FIG. 6.   Interaction between the OXA-10 beta -lactamase and Lek 157. Variation of ki with [C]. Fitting of the data to equation 13 leads to A equal to (20 ± 6) × 10-3 s-1 and B equal to 0.085 ± 0.01 µM (alpha B equal to 0.66 µM).

Values of 0.04 (Lek 156) and 0.05 µM (Lek 157) corresponding to Km equal to k5 · (k3 + k4) · (K'/[(k2 · k5) + (k2 · k4) + k5 · (k3 + k4)]) in model 2a were measured in competitive inhibition experiments with 100 µM nitrocefin as the substrate.

Finally, the values of k5 (or perhaps k-4; see model 2a) were determined in reactivation experiments (kr) as described above, and values of (10 ± 2) × 10-4 and (5.6 ± 0.5) × 10-4 s-1 were obtained for Lek 156 and Lek 157, respectively.

Class B beta -lactamase: the Zn2+-containing enzyme from B. cereus (BcII). The kinetic parameter values (Tables 2 and 3) show that the two carbapenems are hydrolyzed very efficiently by the BcII enzyme. In the absence of any indication of a more complex situation, the simple Henri-Michaelis model was used, and initial rate measurements at various substrate concentrations allowed the individual kcat and Km values to be determined. Kinetics similar to those of the NmcA enzyme are observed by monitoring the change in absorbance at 310 nm.

DD-Peptidases of Streptomyces sp. strains R61 and K15. The interactions between the two DD-peptidases and Lek 156 and Lek 157 can be analyzed on the basis of a simple linear pathway (model 1a). Due to the very slow (t1/2 > 4 h) deacylation process, however, the rearrangement of the opened beta -lactam compounds probably occurs at the level of the acyl-enzyme (EC* right-arrow EC**), in which case model 2a' provides a better description of the phenomenon.

The kinetic parameters are listed in Table 4. In inactivation experiments with the Streptomyces sp. strain K15 and R61 DD-peptidases by using S2x as the reporter substrate or fluorescence quenching, respectively, only the k2/K' values could be determined. Reactivation experiments (using S2x and S2d for the K15 and R61 enzymes, respectively) allowed the deacylation rate constants (k3) to be calculated.

                              
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TABLE 4.   Kinetic parameters of the interaction of Streptomyces sp. strain K15 and R61 DD-peptidases with Lek 156 and Lek 157 

In vitro susceptibility tests. Lek 156 and Lek 157 had no effect at concentrations up to 284 µg/ml. The MICs (Table 5) of ampicillin were significantly reduced by the presence of 30 µg of Lek 157 per ml or 10 µg of tazobactam per ml. The presence of Lek 156 also decreased the MIC of ampicillin, but with a lesser efficiency. However, it should be noted that Lek 156 was unstable even in pure phosphate buffer (pH 7). Under these conditions, a UV and visible spectrum indicated that more than 50% of the compounds was degraded after 24 h at 20°C.

                              
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TABLE 5.   MIC of ampicillin for E. cloacae P99


    DISCUSSION
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Both tricyclic carbapenem molecules tested in the present study, Lek 156 and Lek 157, are very efficient inactivators of the E. cloacae 908R class C beta -lactamase. With this enzyme, the reaction pathway appears to be linear (model 2a') due to negligible hydrolysis of the first covalent adduct (k3 << k4) and a very low k5 value (1.5 × 10-4 s-1 or less). At saturating concentrations, the enzyme is rapidly inactivated (k2/Kapprox  2 × 104 to 4 × 104 M-1 s-1), and the resulting species, EC**, although not completely stable, displays very low turnover values (t1/2 approx  1 to 5 h). Preliminary experiments also indicate that both compounds efficiently inactivate various extended-spectrum class C beta -lactamases. It is interesting that BRL 42715 (6, 17, 40), which is also a good inactivator of class C enzymes, shares structural characteristics with the compounds studied in the present work.

In agreement with these observations, Lek 157 significantly reduced the MIC of ampicillin for E. cloacae P99, which overproduces a class C beta -lactamase. The lesser decrease in the MIC observed with Lek 156 probably results from the intrinsic instability of this compound.

The NmcA beta -lactamase (class A) has been chosen for its unusual catalytic properties (34). It is a very broad spectrum enzyme, hydrolyzing efficiently not only classical penams and cephems but also a wide range of beta -lactam molecules usually considered resistant to class A beta -lactamases. In particular, NmcA hydrolyzes imipenem (and related carbapenem antibiotics) with kcat and Km values of ~200 s-1 and ~0.6 mM (kcat/Km = 2 × 105 M-1 s-1), respectively (34, 45; Florence Mahy, Jean-Marie Frère, and Moreno Galleni, unpublished data). In the present case, both carbapenems are substrates of the NmcA enzyme, but the kcat (~2 to 3 s-1) and Km (~0.5 to 4 µM) values are about 3 orders of magnitude lower than those obtained with imipenem.

In contrast to the NmcA enzyme, both compounds inactivate the TEM-1 beta -lactamase (t1/2 approx  15 to 30 min for complete inactivation at high [C]0/[E]0 values) according to a branched pathway mechanism (k3 > k+4). Most interestingly, the rearranged adducts (EC**) are found to be very stable (t1/2 > 4 h). A similar mechanism is observed with the class D enzyme (OXA-10). In this case, however, the ratio between the number of productive turnovers and reactions that lead to enzyme inactivation (i.e., the partition ratio k3/k4) is quite low, and the enzyme is completely inactivated on a shorter time scale (t1/2 approx  2 to 4 min). Furthermore, the inactivated species (EC**), is not fully stable, and hydrolysis of the rearranged adduct (EC**) is observed (k5 not equal 0; t1/2 approx  10 to 20 min).

Like all other known carbapenems, which are usually only very poorly hydrolyzed by the active-site serine beta -lactamases (37), Lek 156 and Lek 157 are readily hydrolyzed by the Zn2+-containing class B enzyme (18). With the two compounds, both the kcat/Km (>= 5 × 106 M-1 s-1) and the kcat (>= 700 s-1) values are remarkably high, which confirms the high degree of catalytic efficiency of this enzyme (18).

With the representative enzymes considered in the present work, the spectral properties of the final hydrolysis products are identical and correspond to Lek 1A (Fig. 1C), which is also obtained after sodium hydroxide hydrolysis. It is probable that a very slow rearrangement of the primary hydrolysis product, i.e., elimination of the methoxy group of the cyclohexane ring and tautomerization to the delta -2 pyrroline, occurs after its release from the enzyme. These two events are characterized by significant changes in the molecular extinction coefficient value of the molecules at 310 nm, i.e., ca. -1,500 M-1 cm-1 and ca. + 1,000 M-1 cm-1 for the beta -lactamase-catalyzed opening of the beta -lactam ring and the spontaneous rearrangement of the cleaved beta -lactam, respectively. It appears, however, that the rearrangement takes place much faster when the opened beta -lactam is trapped as a stable acyl-enzyme species, as is the case with the TEM-1, E. cloacae 908R, and OXA-10 enzymes.

The results indicate that both compounds are very poor acylating agents (k2/K' = 0.5 to 50 M-1 s-1) for the two model DD-peptidases. With imipenem, a semisynthetic carbapenem antibiotic, the k2/K' values have been estimated to be 1,000 M-1 s-1 (for the Streptomyces sp. strain R61 enzyme [30]) and 100 to 200 M-1 s-1 (for the Streptomyces sp. strain K15 enzyme [33]). Imipenem is, however, a broad-spectrum antibiotic which very efficiently inactivates some of the essential penicillin-binding proteins of the pathogenic strains and is therefore often used as a last resort for patients in intensive care units. Thus, the intrinsic antibacterial activities of the new Lek carbapenem antibiotics, which have not yet been tested in vivo, cannot be predicted on the basis of the behaviors of the two DD-peptidases tested in the present study.

The present survey of the interaction between different beta -lactamases and two novel enantiomeric carbapenem molecules confirms the very different behaviors of the enzymes. Although both compounds are readily hydrolyzed by the so-called carbapenem-hydrolyzing beta -lactamases of class A (NmcA) and class B (BcII), they are efficient inactivators of the "classical" active-site serine beta -lactamases. This is a quite unusual, specific, and interesting property, since most other mechanism-based inactivators of active-site serine enzymes (e.g., clavulanic acid and sulbactam) generally exhibit rather poor activity against class C enzymes. These enzymes may be associated with resistance profiles that include virtually all beta -lactam antibiotics (7, 35), and the recent discovery of many new plasmid-mediated forms of genes encoding class C enzymes has now been recognized as a serious threat. Our kinetic data therefore suggest that further development of the tricyclic carbapenem compounds could be of clinical interest.


    ACKNOWLEDGMENTS

The research of M.V, T.S., and B.T. was funded by the Ministry of Science and Technology of Slovenia (grant J1-7374) and Lek, d.d., Pharmaceutical Works. The research of J.-M.F., M.G., and A.M. was supported by the Belgian Government in the frame of the Pôles d'Attraction Interuniversitaires (grant PAI P4/03). A.M. is a research associate of the National Fund for Scientific Research of Belgium.

We express our gratitude to R. Pain for critical reading of the manuscript and helpful discussions.


    FOOTNOTES

* Corresponding author. Mailing address: Laboratoire d'Enzymologie, Centre for Protein Engineering, University of Liège, Institut de Chimie, B6, B-4000 Liege (Sart Tilman) Belgium. Phone: 32 4 3663419. Fax: 32 4 3663364. E-mail: amatagne{at}ulg.ac.be.


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Discussion
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Antimicrobial Agents and Chemotherapy, August 2001, p. 2215-2223, Vol. 45, No. 8
0066-4804/01/$04.00+0   DOI: 10.1128/AAC.45.8.2215-2223.2001
Copyright © 2001, American Society for Microbiology. All rights reserved.



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Right arrow Articles by Matagne, A.