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ANTIMICROBIAL AGENTS AND CHEMOTHERAPY, Jan. 1991, p. 68-72 Vol. 35, No. 1 0066-4804/91/010068-05$02.00/0 Copyright © 1991, American Society for Microbiology Novel Method for Measurement of Outer Membrane Permeability to New 3-Lactams in Intact Enterobacter cloacae Cells FRANCIS BELLIDO,1* JEAN-CLAUDE PECHtRE,2 AND ROBERT E. W. HANCOCK' Department of Microbiology, University ofBritish Columbia, 300-6174 University Boulevard, Vancouver, British Columbia, Canada V6T I W5,1 and Department of Microbiology, University of Geneva, CH-1211 Geneva 4, Switzerland2 Received 22 June 1990/Accepted 3 October 1990 The ability of five new P-lactams to permeate the outer membrane of intact Enterobacter cloacae P- lactamase-overproducing cells was measured by using a high-pressure liquid chromatography (HPLC)-based technique that avoided certain possible artifacts of the traditional methods. Low concentrations of were mixed with bacterial suspensions, and at different times, the cells were removed from the medium by ifitration. Residual (-lactam concentrations in the medium were then assessed by HPLC and UV detection. The Downloaded from assay was performed under conditions in which no P-lactamase activity was detected in the filtrate and the number of viable cells remained constant during the experiment. Outer membrane permeability was assessed with the Zimmermann-Rosselet equation, in which outer membrane permeability was rate limiting for hydrolysis of the P-lactam by periplasmic f-lactamase. Thus, the rate of disappearance of ,B-lactam was equal to the rate ofouter membrane permeation. Preincubation of bacterial suspensions with 300 ,ug of per

ml inhibited the hydrolysis of I-lactams by intact cells, demonstrating that P-lactam hydrolysis by periplasmic aac.asm.org ,-lactamase was essential in order to allow measurement of outer membrane permeability by this method. Permeability coefficients (P) were calculated from the Zimmermann-Rosselet equation and were independent of the external concentration of over a 100-fold concentration range. and rates of outer membrane permeation 5- to 20-fold higher than those of carumonam, , and

exhibited at UNIV OF BRITISH COLUMBIA on May 2, 2008 . Thus, the presence of a positive charge in the 3-lateral chain increased the permeation ability of ,-lactam molecules considerably.

The outer membrane plays an important role in the phys- cells. However, this approach produced misleading conclu- iology of gram-negative bacteria (16). Its structure is asym- sions, since crypticity varies according to the antibiotic metric, and it is essentially composed of proteins associated concentration in the external medium (11, 25). Since the with an external lipopolysaccharide monolayer and an inter- water-filled channels of porins control the penetration of nal phospholipid monolayer (2, 4). The bacterial cell is small hydrophilic molecules into the periplasm, another surrounded by this asymmetric bilayer which controls, method took advantage of reconstituted proteoliposomes largely through channel-forming porin proteins, the influx of containing purified porins to study the diffusion of P-lactams nutrients and the efflux of metabolic products. It also con- (14, 24). The structural complexity of barriers to antibiotic stitutes a permeation barrier against certain antibiotics and penetration through the outer membrane was somewhat other noxious molecules. The ability to cross the outer oversimplified by this approach. In addition, direct penetra- membrane is a prerequisite for the action of antibacterial tion of some P-lactams through the lipid bilayers and prote- agents on gram-negative cells (6, 21). A large number of oliposomes (12) and charge and counterion effects have hydrophobic and amphiphilic antibiotics such as macrolides, limited the utility of this method (5). Nevertheless, it pro- rifamycins, lincosamides, fusidic acid, and novobiocin are vided an assessment of the relative importance of the gross thought to be inactive against many gram-negative patho- physicochemical properties influencing permeation of mole- gens because of their slow penetration through the narrow cules through porin channels. porin channels (16). In the case of P-lactams, outer mem- Of the methods used to assay the permeability of intact brane permeability, in conjunction with affinity for target cells, the method of Zimmermann and Rosselet (25) and -binding proteins and resistance to P-lactamase, is Sawai et al. (18) was probably the most theoretically correct, an important codeterminant of efficacy (11). Therefore, since the integrity of the was maintained during the quantitative appraisal of outer membrane permeability is experiment. The authors postulated that the penetration of essential for understanding how P-lactams act in gram- ,-lactams into bacterial cells equilibrated at a steady state in negative bacteria and for elaborating efficient drug design which the rate of diffusion of P-lactams through the outer strategies. membrane was balanced by the hydrolysis of P-lactamase in Several methods to measure the ability of P-lactams to the periplasmic space. These events were mathematically penetrate the outer membrane have been designed. Hamil- described by Fick's first law of diffusion and the Michaelis- ton-Miller (3) and Richmond and Curtis (17) proposed the Menten equation, respectively. The Zimmermann-Rosselet determination of "crypticity," or a "permeability index," method has allowed the comparison of outer membrane defined as the ratio of hydrolysis rates of antibiotics by permeabilities among different gram-negative bacteria, but disrupted cells to hydrolysis rates of antibiotics by intact only for antibiotics which were readily hydrolyzed. Unfor- tunately, permeability parameters for the recently developed P-lactams that were much more P-lactamase stable could not * Corresponding author. be accurately determined under the same experimental con- 68 VOL. 35, 1991 PERMEATION OF ,B-LACTAMS IN E. CLOACAE 69

TABLE 1. HPLC conditions for analyzing ,-lactams tation was performed by integration of the peak areas. Standard curves with known concentrations of antibiotics Mobile-phase ratio Retentionb UV detection HPLC ,3-Lactam (0.1 M NaCl04a: time wavelength were used to test the linearity of the response of the methanol) (min) (nm) systems. All experiments were performed at P-lactam con- centrations within the limits giving rise to linear responses. Ceftriaxone 65:35 4.8 254 Permeability studies. Permeability coefficients (P) for cef- Cefotaxime 65:35 4.6 254 the other were calculated Cefpirome 65:35 3.8 254 pirome, cefotaxime, and ,-lactams Cefepime 70:30 3.6 254 from the Zimmermann-Rosselet equation: Carumonam 65:35 5.0 295 Sp a acid. V = P x A x (SO- = Vmax x S (1) 0.i M NaCI04 was adjusted to pH 2.5 with concentrated sulfuric Sp) +Km b At room temperature and at a flow rate of 1 ml/min. p The rate of hydrolysis by intact cells (V) was measured directly by the HPLC method, Vmax and Km values were ditions. The modification proposed by Kojo et al. (8) to determined as in reference 1, and SO and Sp were the circumvent this problem provided data that were internally external and internal (periplasmic) concentrations of antibi- inconsistent, as discussed by Nikaido (11). otic, with values of Sp as determined as in reference 1. A In this paper, we propose a new method which allows the repre'sented the area of cell surface per unit of weight (132 Downloaded from study of the outer membrane permeation by new ,-lactams cm2 ."mg-1). This value was determined for Salmonella of intact cells by using a high-pressure liquid chromatogra- typhimurium (20), and it has been assumed to be identical for phy (HPLC) technique. all the other enteric gram-negative bacteria. Although this assumption has never been proven, we used this value in MATERIALS AND METHODS order to be able to compare our permeability coefficients

with those previously published (13, 23-25). aac.asm.org Bacterial strain and growth medium. Of the strains used in a previous study of the mechanisms of resistance in Entero- RESULTS bacter cloacae, we selected strain 218 Ri because of its high level of chromosomal P-lactamase production (240,000 mol- In this new method, after bacterial cells and P-lactam were ecules per cell) and its unmodified outer membrane protein mixed for various periods, the cells were removed from the at UNIV OF BRITISH COLUMBIA on May 2, 2008 pattern compared with that of the wild type (10). Antibiotic medium by filtration, and the residual P-lactam in the super- medium no. 3 was purchased from Difco Laboratories, natant was then assayed by HPLC and UV detection. This Detroit, Mich. guaranteed a specific and accurate analysis. The solvent Diffusion of j8-lactam antibiotics into intact cells. Cells were systems used in this study allowed the chromatography of all grown in antibiotic medium no. 3, harvested in late expo- of the P-lactams tested within a few minutes (Table 1) and nential phase (optical density at 650 nm, 0.7 to 0.8), washed provided excellent resolution between antibiotic and unchar- twice at 4°C, and gently suspended (30 ml/g of drained pellet) acterized peaks (Fig. 1). The uncharacterized peaks were in the same buffer (10 mM morpholinepropanesulfonic acid also detected when no hydrolysis was measured (e.g., in the [MOPS], pH 6.5). The dry weight of bacterial cells was presence of cloxacillin) and were probably waste products determined by drying 1.00 ml of bacterial suspension in an excreted by the bacteria. The response of the HPLC system oven at 105°C to constant weight. To prevent damage to the was linear within the range of antibiotic concentrations used. outer membrane and ,-lactamase release, growth media, Furthermore, the antibiotic disappearance in the medium wash, and suspension buffer contained 5 mM MgCl2. The could be monitored very precisely at concentrations as low cells were maintained at room temperature for 30 min. Five as 1 ,uM, depending on the UV detector sensitivity and the hundred microliters of antibiotic solution at an appropriate extinction coefficient of each molecule. Initial rates could be concentration (10 to 1,000 ,uM for most antibiotics, accord- measured within 1 or 2 min for fast-penetrating compounds ing to the experiment) was added to 4.5 ml of bacterial such as cefpirome and cefepime. For the other compounds, suspension. At different time intervals, samples were with- 10 min or even longer was necessary to accurately determine drawn and rapidly filtered (0.45-,um-pore-size disposable the initial rates. No significant P-lactamase activity (<0.01 filters; Alltech Inc., Deerfield, Ill.). Before and after the last mU/ml) was detected in filtrates with the sensitive nitrocefin sample, cell viability was checked by determination of CFU. test, indicating that almost no enzyme was released into the In the filtrate, P-lactamase activity was detected by using the medium during the experiment. The number of viable cells (2 chromogenic ,-lactam nitrocefin (10), and ,-lactam com- x 109 to 3 x 109 CFU/ml) remained stable during the 30 min pounds were assayed by HPLC. HPLC was performed at a of measurements. Preincubation of bacterial suspensions for flow rate of 1 ml/min with a System Gold apparatus (Beck- 10 min within 300 p,g of the ,-lactamase inhibitor cloxacillin man Instruments, Inc., San Ramon, Calif.) which included a per ml inhibited the disappearance of ,-lactams from the model 126 programmable solvent delivery system and an medium (Fig. 2), showing that P-lactam hydrolysis was on-line NEC controller. Isocratic chromatography analyses required for this assay method. The HPLC separation pro- were carried out on a reverse-phase Beckman Ultrasphere files of two P-lactams with closely related structures at IP ion pair (5 ,um; 4.6 by 150 mm) analytical column. different times of incubation with intact cells are shown in Samples were injected with a 20-,ul loop syringe loading- Fig. 1. Cefpirome was hydrolyzed much more rapidly than sample Beckman injector (model 210A). The aqueous-or- cefotaxime. Hydrolysis rates by intact cells were similarly ganic mobile phase consisted of 0.1 M sodium perchlorate, measured for five diverse P-lactam antibiotics and allowed adjusted to pH 2.5 with concentrated sulfuric acid, and the calculation of outer membrane permeability coefficients methanol at an appropriate ratio (Table 1). t-Lactams were (Table 2). Carumonam, and to a lesser extent cefotaxime and detected at their absorbance maxima by UV detection with a ceftriaxone, exhibited low outer membrane permeation. On Beckman variable-wavelength monitor (model 166). Quanti- the other hand, P values for cefepime and cefpirome were 5- 70 BELLIDO ET AL. ANTIMICROB. AGENTS CHEMOTHER.

St 0 10 mlni 30mln Ha;CCfotuirmet--eCH2- 8COCH, l M. Downloaded from

C.fplromo aac.asm.org

FIG. 1. HPLC separation profiles of cefotaxime and cefpirome at three different times of incubation with intact E. cloacae 218 Ri cells.

Initial concentrations of both antibiotics were 15 ,u.g/ml. Arrows, Peaks corresponding to the antibiotics; St, standard concentration (15 ,ug/ml) at UNIV OF BRITISH COLUMBIA on May 2, 2008 of antibiotic (control); w, waste products excreted by the bacteria.

to 20-fold higher. These results (Table 2) clearly indicated a Donnan potential (interior negative) of around -40 mV that the presence of a net positive charge in the ,-lactam (22). structure increased its ability to permeate. The two com- To demonstrate that we were measuring outer membrane pounds exhibiting the highest P values, i.e., cefpirome and permeability and not just hydrolysis by external, outer- cefepime, possessed a fixed positive charge borne by the membrane-associated ,-lactamase, we assessed the effect on quaternary ammonium of a pyridine ring. Negatively the permeability coefficient of changing the cefpirome con- charged P-lactams exhibited reduced permeation, while centration. If hydrolysis by surface-attached ,-lactamase carumonam, a compound with two negative was being measured, then according to Michaelis-Menten charges, exhibited the lowest P value of all of the 13-lactams kinetics, hydrolysis rates should have saturated at high tested. This result was consistent with the assumptions that concentrations (thus decreasing the calculated P value). the major porins ofE. cloacae are cation selective, like those Conversely, Fick's first law of diffusion predicts that diffu- of Escherichia coli (14), and that the high concentration of sion rates across the outer membrane should be a linear fixed negatively charged molecules in the periplasm creates function of external P-lactam concentrations (resulting in a constant P value). The permeability coefficients were deter- mined at seven different antibiotic concentrations ranging from 7 to 700 ,ug/ml (Table 3), i.e., 0.05 to 5 times the Km. No

100 TABLE 2. Outer membrane permeability coefficients of P-lactams in E. cloacae 218 Ri 60 Molecular Permeability ,13-Lactam13-Lactam Ionic massb coefficientc 40 ~charge' (g/MOl) (nm/s)

20 Cefpirome - + 500 37 Cefepime - + 466 29 - 0 Cefotaxime 454 5.6 10 20 30 Ceftriaxone -- 552 5.1 two (mr) Carumonam -- 466 1.9 FIG. 2. Effect of preincubation of 300 ,ug of cloxacillin per ml on a These compounds may also carry, at physiological pH, an additional the hydrolysis of cefpirome (15 ,ug/ml = 100%) by intact E. cloacae partial positive charge on the primary amine of their aminothiazole moieties. 218 Ri cells. Symbols: _, cefpirome incubated without cells b Molecular masses are those of free ionic molecules. c (blank control); X, Rl cells without cloxacillin; M , Rl cells Values were determined with external antibiotic concentrations ranging with cloxacillin. from 10 to 20 ,uM for most antibiotics. VOL. 35, 1991 PERMEATION OF 1-LACTAMS IN E. CLOACAE 71

TABLE 3. Effects of different external cefpirome concentrations obeyed Fick's first law of diffusion, the rate of influx should on outer membrane permeability coefficient in be proportional to the antibiotic concentration gradient and E. cloacae 218 Ri the calculated permeability coefficient should remain con- Concn Permeability coefficient stant at any external concentration. Secondly, if the P-lac- (,Lg/ml) (nm/s) + SD' tam hydrolysis by intact cells was driven only by the no or 7 37 4 ,-lactamase and other physical chemical phenomenon 12 45±6 interfered with the reaction, one would expect that the 25 34 5 presence of a strong class 1 3-lactamase inhibitor, such as 50 29 6 cloxacillin, would completely prevent the hydrolytic process 75 35 5 during permeability-limited disappearance of ,-lactam from 100 40 7 the medium (note that because of the small volume of the 700 31 ± 6 periplasm, equilibration of ,B-lactam molecules across the a From three determinations. outer membrane gradient in the absence of P-lactamase would be accomplished within a second or so and would have virtually no effect on the external ,-lactam concentra- significant differences were observed (P < 0.05; Student t tion). Our data strongly suggest that despite its technical limitations, the theoretical bases underlying the Zimmer- test). These results suggested that we were measuring per- Downloaded from meability and further indicated that there was no detectable mann-Rosselet method are rigorously correct (Table 3; Fig. P-lactamase activity on the external outer membrane surface 2). These results were in contrast with those published by of E. cloacae 218 Ri. Hewinson et al. (7). These authors, using the traditional Zimmermann-Rosselet method to measure the permeation of cephalosporinase C in , found that DISCUSSION the permeability coefficient varied according to the external antibiotic concentration. these results could aac.asm.org Quantitative aspects of how new ,B-lactams penetrate into However, prob- gram-negative bacteria have remained largely unknown be- ably be due to the activity of P-lactamase on the outer in a cause of difficulties in measuring hydrolysis rates with intact membrane surface, since the hydrolysis rates plotted cells. In part, these difficulties have resulted from technical linear reciprocal plot as a function of C limitations. Earlier studies (15, 25) spectrophotometrically concentration (i.e., a Lineweave--urk plot) predict a Km at UNIV OF BRITISH COLUMBIA on May 2, 2008 assessed the disappearance of antibiotic in microcuvettes similar to the Km of free 3-lactamase for this P-lactam. containing dense bacterial cell suspensions. Although this Vu and Nikaido (23) and Nikaido et al. (13) published method has been used for readily hydrolyzable compounds, permeability coefficients of intact E. cloacae cells for some it seems impractical for more 3-lactamase-stable antibiotics. expanded-spectrum and "fourth-generation" cephalospo- Alternatively, outer membrane permeation values extrap- rins, respectively. It should, however, be noted that these olated from assays of uptake of P-lactams into proteolipo- values were not determined experimentally but were derived somes incorporate assumptions (12) which, on the basis of by normalizing the proteoliposome permeation rate of these comparison of literature data with the numbers obtained in products by using the permeability coefficients of intact cells this paper, may not be entirely correct (13). In this study, we with (23) or cephazoline (13) while making have proposed a technical approach based on the HPLC adjustments for the influence of Donnan potential. Actually, analysis of residual cell-free P-lactams. The use of this new several limitations could bias the results obtained by the protocol eliminated several sources of potential artifacts liposome swelling assay (for a discussion, see references 5 created by traditional methods, including extensive light and 10). Nevertheless, this method apparently allowed a scattering of bacterial suspensions in microcuvettes, which reasonable estimate of relative penetration rates of certain considerably reduced the sensitivity of the measurements; antibiotics. Our data (Table 2) differed from those deter- interference by fluctuant waste products that were excreted mined previously by plus or minus twofold. Discrepancies by bacteria over the time of the assay and that absorbed at between the two methods could be explained by two poten- the same wavelength as ,-lactam molecules (Fig. 1); and the tial problems related to extrapolation of liposome swelling necessity, in order to monitor the hydrolysis by intact cells, data. Firstly, despite attempts to correct for them, charged of using high concentrations (0.1 to 1 mM) of antibiotics that compounds and associated counterions create problems in are in the majority of cases pharmacologically irrelevant and the liposome swelling method (5). Secondly, the physiolog- do not mimic the actual physiological conditions of in vivo ical Donnan potential effect cannot be reproduced in prote- hydrolyses (i.e., periplasmic antibiotic concentrations lower oliposomes. This electric gradient across the outer mem- than the Km values). brane (19, 22), which should slow down the penetration of Another advantage of this new method is the development negatively charged molecules into the periplasm (12), was of a simple HPLC system suitable for essentially all new corrected for by using a factor of 2.66. However, there is no P-lactams. Most of these molecules, which are as structur- proof that such a factor adequately corrects for the effect of ally diverse as and aminothiazole cephalospo- Donnan potentials in every case. Another source of variation rins, can be resolved in a few minutes without changing any could result from the great fluctuation in the amounts of chromatographic parameter. outer membrane proteins that are expressed from one E. Permeability coefficients can be calculated from equation cloacae strain to another (10). Recently, Komatsu et al. (9) 1, assuming that at steady state, the rate of ,B-lactam diffu- have isolated an E. cloacae gene, romA, that greatly influ- sion through the outer membrane is balanced by the rate of ences the posttranscriptional regulation of the outer mem- P-lactamase hydrolysis in the periplasmic space. Since the brane proteins. Modulations in the expression of this gene validity of this postulate has never been experimentally could explain the variability in the expression of outer assessed, we tested it in two different ways. Firstly, if the membrane proteins from one strain to another. penetration of antibiotics through the outer membrane The determination of the outer membrane permeation of 72 BELLIDO ET AL. ANTIMICROB. AGENTS CHEMOTHER. five compounds permitted a preliminary analysis of struc- evaluating the outer membrane permeability to ,B-lactamase- ture-activity relationships. Our data partly confirmed previ- stable ,B-lactam antibiotics. J. Antibiot. 33:310-316. 9. Komatsu, T., M. Ohta, N. Kido, Y. Arakawa, H. Ito, T. Mizuno, ous results obtained with E. coli OmpF-containing proteoli- and N. Kato. 1990. Molecular characterization of an Enterobac- posomes (24) in that the presence of a positive charge in the ter cloacae gene (romA) which pleiotropically inhibits the 3-lateral chain increased considerably the permeation of expression of Escherichia coli outer membrane proteins. J. 3-lactams. The influence of charge was especially noticeable Bacteriol. 172:4082-4089. for the new fourth-generation cefpirome and 10. Marchou, B., F. Bellido, R. Charnas, C. Lucain, and J.-C. cefepime, which bore a net positive charge in the quaternary Pechere. 1987. Contribution of P-lactamase hydrolysis and outer ammonium of a pyridine ring, in contrast to the expanded- membrane permeability to ceftriaxone resistance in Enterobac- spectrum cephalosporins cefotaxime and ceftriaxone. ter cloacae. Antimicrob. Agents Chemother. 31:1589-1595. We have developed a method that allows for the first time 11. Nikaido, H. 1985. Role of permeability barriers in resistance to the reliable determination of the in vivo outer membrane P-lactam antibiotics. Pharmacol. Ther. 27:197-231. 12. Nikaido, H. 1989. Role of outer membrane of Gram-negative permeation of P-lactamase-resistant P-lactams in intact cells. bacteria in antimicrobial resistance, p. 1-34. In L. Bryan (ed.), Using the same approach, we have been able to measure Microbial resistance to drugs. Springer-Verlag KG, Berlin. decreased outer membrane permeability in a porin-altered 13. Nikaido, H., W. Liu, and E. Y. Rosenberg. 1990. Outer mem- strain ofE. cloacae and to assess the role of outer membrane brane permeability and ,B-lactamase stability of dipolar ionic permeability in the efficacy of P-lactam antibiotics (1). One cephalosporins containing methoxyimino substituents. Antimi- possible limitation in applying this method to other gram- crob. Agents Chemother. 34:337-342. Downloaded from negative bacteria would be the presence of ,-lactamase 14. Nikaido, H., and E. Y. Rosenberg. 1983. Porin channels in activity at the external outer membrane. Hence, care should Escherichia coli: studies with liposomes reconstituted from 153:241-252. be taken that this source of artifact does not bias the data, by purified proteins. J. Bacteriol. 15. Nikaido, H., E. Y. Rosenberg, and J. Foulds. 1983. Porin measuring P-lactamase in the filtrates and by assessing the channels in Escherichia coli: studies with ,B-lactams in intact concentration dependence of P values. cells. J. Bacteriol. 153:232-240. M. Vaara. 1985. Molecular basis of bacterial 16. Nikaido, H., and aac.asm.org ACKNOWLEDGMENTS outer membrane permeability. Microbiol. Rev. 49:1-32. 17. Richmond, M. H., and N. A. C. Curtis. 1974. The interplay of This work was made possible by a postdoctoral fellowship and P-lactamase and intrinsic factors in the resistance of Gram- grant (31-28007-89) from the Fonds National Suisse de la Recherche negative bacteria to and cephalosporins. Ann. N.Y. to F.B. and J.C.P., respectively, and by financial Scientifique Acad. Sci. 235:553-561. at UNIV OF BRITISH COLUMBIA on May 2, 2008 assistance from the Canadian Cystic Fibrosis Foundation and the 18. Sawai, T., K. Matsuka, and S. Yamagishi. 1977. 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