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Journal of Antimicrobial Chemotherapy Advance Access published August, Journal of Antimicrobial Chemotherapy doi:./jac/dkl Pharmacodynamics of moxifloxacin and levofloxacin against Streptococcus pneumoniae, Staphylococcus aureus, Klebsiella pneumoniae and Escherichia coli: simulation of human plasma concentrations after intravenous dosage in an in vitro kinetic model Inga Odenholt, * and Otto Cars Infectious Diseases Research Unit, Department of Clinical Sciences Malmö, Lunds University, S- Malmö, Sweden; Antibiotic Research Unit, Department of Medical Sciences, Section of Infectious Diseases and Clinical Microbiology, Uppsala University, Uppsala, Sweden Received November ; returned May ; revised July ; accepted August Objectives: To compare in an in vitro kinetic model the pharmacodynamics of moxifloxacin and levofloxacin with a concentration time profile simulating the human free non-protein bound concentrations of mg moxifloxacin intravenous (iv) once daily, mg levofloxacin iv once daily and mg levofloxacin iv once daily against strains of Streptococcus pneumoniae, Staphylococcus aureus, Klebsiella pneumoniae and Escherichia coli with variable susceptibility to fluoroquinolones. Methods: The strains used in the study included S. pneumoniae ATCC (native strain), S. pneumoniae (double mutation; gyra and parc), S. pneumoniae (single mutation; parc), S. aureus ATCC (native strain), S. aureus MB (single mutation; gyra), E. coli M (single mutation; gyra), E. coli ATCC (native strain) and K. pneumoniae ATCC (native strain). The strains were exposed to moxifloxacin and levofloxacin in an in vitro kinetic model simulating the free human serum concentration time profile of moxifloxacin mg once daily, levofloxacin mg once daily and mg once daily. Repeated samples were taken regularly during h and viable counts were carried out. Results and conclusions: A correlation was seen between both the area under the serum concentration curve and MIC () and the peak concentration/mic (C max /MIC) versus area under the bactericidal killing curve (AUBKC) or Dlog cfu/ml. Compiling all data, an of and a C max /MIC of gave a maximal bactericidal effect for both levofloxacin and moxifloxacin. In accordance with the results from others, our study indicated that a lower was needed for S. pneumoniae in comparison with the Gram-negative bacteria studied. Moxifloxacin yielded higher and C max /MIC against the investigated Gram-positive bacteria in comparison with levofloxacin mg once daily and mg once daily. Downloaded from http://jac.oxfordjournals.org/ at Pennsylvania State University on April, Keywords: fluoroquinolones, pharmacokinetics, PK/PD Introduction During the past decade, the integration of pharmacokinetics and pharmacodynamics has become increasingly important for determining optimal dosing schedules of antibiotics. The fluoroquinolones are characterized by a concentration-dependent bactericidal activity and the ability to induce a post-antibiotic effect against both Gram-positive and Gram-negative bacteria. The ratio between the h area under the serum concentration curve and MIC () and the peak concentration/mic (C max /MIC) seem to be the pharmacodynamic indices that correlate to efficacy in in vitro kinetic models, in animal studies and in humans., Several investigators have studied the activity of fluoroquinolones in in vitro kinetic models and shown that members of this drug class may differ in their pharmacodynamic properties., The aim of the present study was to compare the pharmacodynamics of moxifloxacin and levofloxacin against strains of Streptococcus pneumoniae, Staphylococcus aureus, Klebsiella pneumoniae and Escherichia coli with differing antibiotic... *Corresponding author. Tel: +--; Fax: +--; E-mail: inga.odenholt@med.lu.se... Page of Ó The Author. Published by Oxford University Press on behalf of the British Society for Antimicrobial Chemotherapy. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Odenholt and Cars susceptibility. An in vitro kinetic model was used, where the concentration time profiles of free (non-protein bound) drug in humans obtained with mg moxifloxacin intravenous (iv) once daily, mg levofloxacin iv once daily and mg levofloxacin iv once daily were simulated. Materials and methods Bacterial strains and media The strains used in the study included S. pneumoniae ATCC (native strain), S. pneumoniae (double mutation in gyra and parc), S. pneumoniae (single mutation in parc), S. aureus ATCC (native strain), S. aureus MB (single mutation in gyra), E. coli M (single mutation in gyra), E. coli ATCC (native strain) and K. pneumoniae ATCC (native strain). The mutant strains were obtained from Bayer HealthCare AG, Wuppertal, Germany, and the native strains from the Department of Microbiology, Uppsala, Sweden. Before each experiment the Gramnegative strains were grown for h at C in air in Mueller Hinton broth (Difco Laboratories, Detroit, MI, USA) supplemented with mg Mg + and mg Ca + yielding an inoculum of cfu/ml. The Gram-positive strains were grown in Todd Hewitt broth at C in air (with % CO for S. pneumoniae) yielding an inoculum of cfu/ml. During the experiments, samples for viable counts were seeded on blood agar plates (Colombia agar base with % horse blood, Department of Microbiology, Uppsala Sweden). The limit of detection of the viable counts was cfu/ml. Determination of MICs The MICs of moxifloxacin and levofloxacin for the investigated strains were determined in Todd Hewitt broth (Gram-positive strains) or in Mueller Hinton broth supplemented with mg Ca + and mg Mg + (Gram-negative strains) in triplicate on different occasions by macro-dilution technique with an inoculum of cfu/ml according to the Clinical Laboratories Standards Institute (formerly NCCLS). The MICs were defined as the lowest concentration of the antibiotics that gave no visible growth. Determinations of antibiotic concentrations The concentrations of moxifloxacin and levofloxacin during the in vitro kinetic experiments were determined by a microbiological agar diffusion method, using E. coli MB as the test organism. The bacteria were cultured in Todd Hewitt broth for h. Thereafter. ml of the suspension was added to L of Iso-Sensitest agar (Oxoid Ltd, Basingstoke, Hampshire, UK) and poured into plates. After the plates were dried,. ml volumes of all samples and standards diluted in Todd Hewitt broth were applied into agar wells. The assays were made in triplicate and the plates were incubated overnight at C. The limit of detection was. mg/l and the coefficient of variation on samples analysed on different days was %. In vitro kinetic model The pharmacodynamics of the antibiotics for the investigated strains was studied in an in vitro kinetic model described previously. The model consists of a spinner flask with a. mm filter membrane and a pre-filter fitted in between the upper and the bottom part in order to prevent bacterial dilution. A magnetic stirrer ensures homogeneous mixing of the culture and prevents membrane pore blockage. In one of the sidearms of the culture vessel, a silicon membrane is inserted to enable repeated sampling. The other arm is connected by thin plastic tubing to a vessel containing fresh medium. The medium is removed from the culture flask, through the filter, at a constant rate with a pump. Fresh sterile medium is sucked into the flask at the same rate by the negative pressure built up inside the culture vessel. The antibiotic was added to the vessel and eliminated at a constant rate according to the first-order kinetics C = C o e kt, where C o is the initial antibiotic level, C the antibiotic level at the time t, k the rate of elimination and t the time elapsing since the addition of antibiotic. The apparatus was placed in a thermostatic room at C during the experiments. Determination of the antibacterial effect Before the experiments, the culture vessel was filled with Todd Hewitt broth or Mueller Hinton broth and bacteria were added at a starting inoculum of cfu/ml. Two dose levels of levofloxacin and one dose level of moxifloxacin, which are currently used in the clinical situation, were studied. Moxifloxacin was added at a concentration of. mg/l corresponding to the free (non-protein bound) fraction obtained after a dose of mg iv and the flow rate was adjusted to give a half-life of h. Levofloxacin was added at concentrations of and mg/l corresponding to the free (non-protein bound) fraction obtained after a dose of and mg iv, respectively. The simulated half-life was set to h. One sample was withdrawn at each of various times (,.,,,, and h) and if necessary diluted in phosphate-buffered saline (PBS). At least three dilutions of each sample were spread onto blood agar plates and incubated at C, and the colonies were counted after h. The limit of detection of the method was cfu/ml. The experiments were performed in duplicate for each bacterial strain and concentration. The antibacterial effect was described in two ways: by calculation of the log change in viable counts between time and h (Dlog cfu/ ml), where a negative value indicates a net killing effect during the period of the experiment, and by calculation of the area under the bactericidal killing curve (AUBKC) using the log linear trapezoidal rule for the period from to h. A value of the AUBKC of indicates a static effect, a lower value a net killing. Results MICs The MICs for the investigated strains are shown in Table. Antibiotic concentrations The C max of moxifloxacin was.. mg/l. The corresponding figures for levofloxacin and mg were.. and.. mg/l, respectively. The mean elimination half-lives were h for moxifloxacin,. h for levofloxacin mg and h for levofloxacin mg. Experiments Table shows the pharmacodynamic indices and C max /MIC together with the resulting antibacterial effects expressed as Dlog cfu/ml and AUBKC. A rapid bactericidal effect was obtained with all three regimens against the wild-type and single mutant strain of S. pneumoniae (Figure a and b) The mutant was reduced below the detection limit with all three regimens, while for the wild-type a pronounced regrowth occurred with the low levofloxacin dose. For the strain with double Downloaded from http://jac.oxfordjournals.org/ at Pennsylvania State University on April, Page of

Pharmacodynamics of fluoroquinolones Table. MIC values of levofloxacin and moxifloxacin for the investigated strains Bacteria mutations in both gyra and parc, neither drug exerted any bactericidal effect (Figure c). However, moxifloxacin achieved a lower AUBKC in comparison with both doses of levofloxacin. This was also true for the native strain of S. aureus, where moxifloxacin gave the lowest AUBKC in comparison with levofloxacin at both dosage regimens although the strain was completely killed with both drugs at h (Figure a). For S. aureus MB (single mutation in gyra) there was regrowth with all regimens at h, although less pronounced for moxifloxacin (Figure b). For the native strain of E. coli eradication was seen for all three regimens with the lowest AUBKC seen for moxifloxacin (Figure a). For the mutant strain of E. coli, initial killing was followed by regrowth with all three regimens (Figure b). Again moxifloxacin gave the lowest AUBKC. The native strain of K. pneumoniae was completely killed after h with all regimens with similar AUBKC (data not shown). The correlation between and the antibacterial effect (compiling results from all experiments) are shown in Figure (a and b). For both AUBKC and Dlog cfu/ml, a maximal effect was achieved when the exceeded. The same pharmacodynamic index seemed to apply for both drugs (Figure a). The correlation between C max /MIC and AUBKC and between C max /MIC and Dlog cfu/ml indicated that a maximal effect was achieved at a C max /MIC of (data not shown). Although more data points would be needed to draw firm conclusions, a tendency could be observed for maximal killing of the Gram-positive bacteria, especially the pneumococci, to be achieved at a lower in comparison with the Gram-negative strains (Figure b; Table ). For example, S. pneumoniae was killed at between and, while much less reduction in the viable counts was noted for E. coli when exposed to of. Discussion Levofloxacin (mg/l) S. pneumoniae ATCC. S. pneumoniae. S. pneumoniae S. aureus ATCC.. S. aureus MB. E. coli ATCC.. E. coli M.. K. pneumoniae ATCC.. Moxifloxacin (mg/l) The major pharmacodynamic indices that correlate to clinical and bacteriological efficacy of fluoroquinolones are by most researchers thought to be the ratio between the h and C max /MIC. However, the magnitude of the PK-PD index needed is still under discussion and seem to vary according to the type of fluoroquinolone bacterial species and the immune status of the patients., In a clinical study, including patients Table. Pharmacokinetic indices and antibacterial effect of moxifloxacin and levofloxacin Moxifloxacin mg Levofloxacin mg Levofloxacin mg Bacteria Dlog cfu/ml AUBCK Dlog cfu/ml AUBKC AUC /MIC Cmax/MIC Dlog cfu/ml AUBKC AUC /MIC Cmax/MIC AUC /MIC Cmax/MIC S. pneumoniae ATCC........ S. pneumoniae........ S. pneumoniae +... +.... +.. S. aureus ATCC....... S. aureus MB... +.... E. coli ATCC...... E. coli M....... K. pneumoniae ATCC...... Downloaded from http://jac.oxfordjournals.org/ at Pennsylvania State University on April, Page of

Odenholt and Cars log cfu/ml (b) log cfu/ml (c) log cfu/ml Figure. The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against S. pneumoniae ATCC ; controls, open circles (mean of two experiments). (b) The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against S. pneumoniae ; controls, open circles (mean of two experiments). (c) The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against S. pneumoniae ; controls, open circles (mean of two experiments). with respiratory tract, skin and soft tissue and complicated urinary tract infections, an ratio of > resulted in a failure rate of % in comparison with.% with an of. All failures were seen in the group of patients with respiratory tract and skin and soft tissue infections. In the present study, the pharmacodynamics of moxifloxacin was compared with those of levofloxacin against wild-type bacteria and bacteria with defined mutations for fluoroquinolone resistance. For both drugs, similar pharmacodynamic indices for maximal antibacterial activity were found. However, of the log cfu/ml (b) log cfu/ml Figure. The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against S. aureus ATCC ; controls, open circles (mean of two experiments). (b) The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against S. aureus MD; controls, open circles (mean of two experiments). three dosage regimens simulated, higher values of and C max /MIC were achieved for moxifloxacin against all Grampositive bacteria and a better antibacterial effect (AUBKC) was seen for moxifloxacin against five of the eight bacterial strains. Several studies have indicated a difference in the pharmacodynamics of fluoroquinolones between Gram-positive and Gramnegative bacteria. MacGowan et al. studying S. pneumoniae and Pseudomonas aeruginosa in an in vitro kinetic model showed that a higher value was needed to clear P. aeruginosa in comparison with that of S. pneumoniae. This variability between Gram-positive and Gram-negative strains has also been described by other authors.,,,, In the present study, such a tendency was also shown, e.g. for levofloxacin at both dosage regimens, where S. pneumoniae ATCC and S. pneumoniae were cleared completely after h in five out of six experiments, while regrowth occurred at similar or higher and C max /MIC for E. coli M. These results are in accordance with the findings of Schubert et al., who studied S. pneumoniae in a slightly different in vitro kinetic model, and also found that levofloxacin and moxifloxacin at the free concentration corresponding to a dose of mg once daily and mg once daily, respectively, cleared this strain after h. Klepser et al. suggested from the results of an in vitro kinetic study of different quinolones against S. pneumoniae that in the absence of the influence of host defence an between and would obtain near maximal antibacterial effects (total drug). Zhanel et al., also in an in vitro kinetic model, suggested a free of in order to prevent regrowth of multidrug-resistant S. pneumoniae. Other investigators have also documented bacteriological eradication of Downloaded from http://jac.oxfordjournals.org/ at Pennsylvania State University on April, Page of

Pharmacodynamics of fluoroquinolones log cfu/ml (b) log cfu/ml AUBKC (b) log cfu/ml Figure. The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against E. coli ATCC ; controls, open circles (mean of two experiments). (b) The killing effect of levofloxacin mg (open squares), levofloxacin mg (filled squares) and moxifloxacin (filled triangles) against E. coli M; controls, open circles (mean of two experiments). Figure. The relationship between AUBKC and. (b) The relationship between Dlog cfu/ml and. (b) AUBKC AUBKC Figure. The relationship between AUBKC and for levofloxacin (open squares) and moxifloxacin (filled squares). (b) The relationship between AUBKC and for S. pneumoniae (open squares) and Gram-negative strains (filled squares). S. pneumoniae with respiratory fluoroquinolones with an AUC/ MIC of., In the present study, the native strain of S. aureus was cleared with both levofloxacin and mg as well as with moxifloxacin. Low AUBKCs (<) were seen for all three regimens. However, for S. aureus with a single mutation in gyra, regrowth occurred at h with all three regimens after an initial log reduction in cfu. The was <, C max /MIC and AUBKC > for all regimens. Concerning the Gramnegative strains, both native strains of E. coli and K. pneumoniae were rapidly cleared in the present study with > and a AUBKC of <. However with the E. coli strain with a single mutation in gyra, regrowth occurred with all three regimens after an initial.% kill. The highest ratio reached was for levofloxacin mg. In an in vitro pharmacodynamic model, Madaras-Kelly et al. suggested a value of as a breakpoint to prevent selection of resistant mutants of P. aeruginosa treated with ciprofloxacin and ofloxacin. Drusano et al. showed in a animal model with lomefloxacin against P. aeruginosa that an (total drug) of > gave a % survival of the animals compared with % with an of. Forrest and coworkers found an AUC/ MIC ratio of > to correlate with clinical and microbiological cure in critically ill patients with predominately Gram-negative nosocomial pneumonia. In conclusion, our study showed that an of and a C max /MIC of gave a maximal bactericidal effect for levofloxacin and moxifloxacin for both endpoints (AUBKC and change in viable counts). Moxifloxacin with simulated free concentrations following a dose of mg yielded higher Downloaded from http://jac.oxfordjournals.org/ at Pennsylvania State University on April, Page of

Odenholt and Cars and C max /MIC against the investigated Gram-positive bacteria in comparison with levofloxacin mg once daily and mg once daily. In accordance with the results from others, our study indicated that a lower was needed for S. pneumoniae in comparison with the Gram-negative bacteria studied. However, additional strains must be studied to determine the optimal target drug exposure. This in vitro kinetic model provides a valuable tool and a complement to animal studies to determine what target should be reached in order to maximize the antibacterial effect. However, like other in vitro kinetic models, the model more mimics the effects in an immunocompromised host, since the effects of the immune system are not taken into account. Acknowledgements This study was in part supported by a grant from Bayer HealthCare AG, Wuppertal, Germany. Transparency declarations None to declare. References. Craig WA. 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