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Vétoquinol, R&D Department, B.P. 189, 70204 Lure, France
Corresponding author: M. Schneider; e-mail: marc.Schneider{at}vetoquinol.com.
| ABSTRACT |
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Key Words: marbofloxacin pharmacokinetics pharmacodynamics surrogate marker
Abbreviation key: AUC = area under the curve, AUClast = area under the concentration-time curve until the last measurable time point, Cmax = maximum concentration, Cmax 1stobs = Cmax observed after the first administration, Cmax3rdobs = Cmax observed after the third administration, LOQ = limit of quantification, MBC = minimum bactericidal concentration, MIC = minimum inhibitory concentration, MIC50 = concentration of antibiotic able to inhibit the visible growth of 50% of a population of microorganisms, MIC90 = concentration of antibiotic able to inhibit the visible growth of 90% of a population of microorganisms, MRTlast = mean residence time till the last measurable time point, Tmax = occurrence time of the maximum plasma concentration, T
K01 = absorption half-life, T
z1st = elimination half-life after the first administration, T
z3rd = elimination half-life after the third administration
| INTRODUCTION |
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| MATERIALS AND METHODS |
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Test Drug and Experimental Design
First trial.
Marbofloxacin was given as a 10% solution for injection (Marbocyl 10%, Vétoquinol, Lure, France). The dose rate was 2 mg/kg once daily, for 3 d, and all animals were treated on the same day. The intramuscular injections were given alternatively into the left and right neck muscles, just after the morning milking. For the assay of the drug, blood samples of 10 mL were taken by venipuncture of the left or right jugular vein into heparinized Vacutainer tubes. The blood samples were taken at the following times: 0, 15, 30, and 45 min; 1, 1.5, 2, 3, 4, 6, 8, 10, 23, 28, 34, 47, 48.5, 49, 50, 51, 52, 54, 56, 58, 71, 76, 82, and 95 h. The 0 time point corresponded to a sample that was taken just before the first administration of marbofloxacin. The administrations were performed at the following time points: 0, 24, and 48 h. About 30 min after sampling, the blood was centrifuged at 3500 rpm and at 5°C during 10 min. The obtained plasma was divided into two aliquots of 1 mL each, which were deep frozen until analysis. Milk samples were obtained by manual pressure of the teats, with the first portion being discarded. A sample was collected at the following time points: 0, 30 min; 1, 2, 3, 4, 6, 10, 23, 28, 34, 47, 49, 50, 51, 52, 54, 58, 71, 76, 82, and 95 h. As for plasma, the 0 time point corresponded to a sample that was taken just before the first administration. The samples that were collected at 0, 23, 47, 71, and 95 h were part of the morning routine milking, and the samples collected at 10, 34, 58, and 82 h were part of the evening routine milking. For each sample, three aliquots of approximately 2 mL of milk were deep frozen until analysis.
Second trial.
Marbofloxacin (Marbocyl 10%) was given as a single intramuscular dose of 2 mg/kg to four cows into the left or right neck muscles, just after the morning milking. For the purpose of the drug and metabolite assay, milk samples were taken at the following times: 0, 0.5, 1, 2, 3, 4, 6, 10, 24, 28, 34, 48, 52, 58, and 72 h after the administration. The 0 time point corresponded to a sample that was taken just before the administration. The 24-, 48-, and 72-h time points corresponded to the morning routine milking, and 10, 34-, and 58-h time points corresponded to the evening routine milking. The sampling and preparation of aliquots were performed as described for the first trial.
Drug Assay
The HPLC assay method of marbofloxacin in bovine plasma was comparable to the method in dog plasma, which has already been described (Schneider et al., 1996). Briefly, to 1 mL of plasma were added 200 µL of internal standard solution (ofloxacin at 5 µg/mL in a pH 7 buffer) and 8 mL of dichloromethane. The mixture was agitated during 10 min and thereafter centrifuged at 5000 rpm, at 5°C during 10 min. The organic layer was separated and evaporated at 35 to 40°C under a gentle nitrogen flow. The dry residue was dissolved in 200 µL of mobile phase by Vortex mixing and sonication. About 50 µL of the dissolved extract was injected into the chromatographic system. This system consisted of a Waters 510 solvent pump, a Waters 717+ automated refrigerated injector and a Waters 486 UV detector. The mobile phase was a mixture of pH 2.7 buffer 87.5%, methanol 10%, and acetonitrile 2.5%, which was delivered at a flow rate of 1 mL/min. The separation was performed on a Merck Lichrospher 5 µm RP18 encapped analytical column (250 mm in length and 4 mm in i.d.) fitted with a Merck 5-µm RP18 encapped precolumn (4 mm in length and 4 mm in i.d.). The column and the precolumn were operated at 30°C, and the detection wavelength was 295 nm. Under these conditions, the retention time of marbofloxacin and ofloxacin was about 10 and 14 min, respectively. The limit of quantification of the method was 0.01 µg/mL, and the linearity range was from 0.01 to 5 µg/mL. The reproducibility coefficients of variation were better than 5%, and the recovery was greater than 70%.
The method for the extraction of marbofloxacin in milk samples was very similar to the plasma method. Two changes were introduced; first, to 1 mL of milk only 50 µL of internal standard solution was added (ofloxacin at 1 µg/mL in a pH 7 buffer) and second, the dissolved extract was centrifuged at 3000 rpm and at 5°C for 5 min before injection into the HPLC system. The chromatographic conditions were also identical, except for the detection, which was fluorimetric, with an excitation wavelength set to 295 nm and an emission wavelength set to 500 nm. The limit of quantification was 0.001 µg/mL, and the linearity range was 0.001 to 1 µg/mL. The reproducibility coefficients of variation were better than 8%, and the recovery was greater than 75%.
For the assay of the metabolites, the method was comparable to the published method for dog plasma (Lefebvre et al., 1998) with some modifications. Five hundred microliters of SDS 0.01 M were added to 1 mL of milk together with 200 µL of a 0.5 µg/mL enrofloxacin solution (internal standard). The extraction was performed with 8 mL of dichloromethane. The separation was performed on a Waters Symmetry C18 analytical column (150 mm in length and 3.9 mm in i.d.) fitted with a Waters Symmetry C18 precolumn (4 mm in length and 3.9 mm in i.d.). The column and the precolumn were operated at 35°C. The limit of quantification of both metabolites was 0.05 µg/mL, and their retention time was approximately 8 min for N-desmethyl-marbofloxacin and 13 min for N-oxide-marbofloxacin. The N-desmethyl-marbofloxacin and the N-oxide-marbofloxacin were obtained from Roche (Basle, Switzerland). Typical chromatograms are shown in Figure 1
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An open mono-compartmental model with a first-order absorption described best the plasma profile of marbofloxacin after the first administration. The equation of the model was: C(t) = - e(K01t) + (DK01/V (K01 - K10)) e(-K10t), with C(t) = drug concentration at time t, D = the dose, V = the apparent volume of distribution, K01 = the absorption rate constant, and K10 = the elimination rate constant. The pharmacokinetic parameters (rate constants, half-lives, apparent volume of distribution) were calculated from the classical equations associated with the compartmental analysis (Gibaldi and Perrier, 1982). The observed maximum concentration (Cmax), and the occurrence time of the maximum plasma concentration (Tmax) were directly obtained from the datasets. The area under the concentration-time curve until the last measurable time point (AUClast), and the mean residence time (MRTlast) until the last measurable time point in plasma and milk were calculated with a noncompartmental method, using the linear trapezoidal rule. Extrapolation to infinity of the AUClast (AUCinf), was obtained by adding the following term to the AUClast: Clast/
z, where Clast is the last measurable concentration and
z is the slope of the regression line obtained with the last observed concentrations.
Pharmacodynamics Evaluation
Bacteria.
All bacterial isolates were from milk samples collected from cows suspected of having IMI. The samples were taken before starting a treatment, and they were collected between January 1, 1999, and December 31, 1999, from several European countries. The samples were shipped to different laboratories located near the sampling sites to reduce the time in transport. Primary cultures of milk samples were performed by plating 100 µL of milk on MacConkey agar (Difco) for Escherichia coli strain isolation and on Colombia agar (Difco) with 5% of defibrinated sheep blood for Staphylococcus aureus strain isolation. The plates were incubated at 35 to 37°C for 24 to 48 h. Escherichia coli and S. aureus were chosen as being the target pathogens of marbofloxacin. Other strains involved in mastitis, such as Streptococci, are less susceptible to fluoroquinolones in general. Escherichia coli was identified by colony morphology, Gram-staining characteristics, oxidase, and biochemical reactions on MacConkey agar and API 20E (BioMerieux S.A. Marcy-lEtoile, France). Staphylococcus aureus was identified by colony morphology, hemolytic patterns on Columbia agar with 5% of defibrinated sheep blood, Gram-staining characteristics, catalase, positive Slidex Staph test, and ID 32 Staph (BioMerieux S.A.). A total of 68 E. coli (3 from Belgium, 37 from France, 6 from UK, 10 from the Netherlands, and 12 from Germany) and 56 S. aureus (2 from Belgium, 30 from France, 4 from England, 10 from the Netherlands, and 10 from Germany) strains were isolated. Isolates were then shipped to the microbiology laboratory of the Research and Development Department of Vétoquinol S.A. (Lure, France) for MIC determinations. Upon receipt, all isolates were streaked on Trypticase soy agar (Bio-Rad), incubated for 24 h at 35 ± 2°C, and tested for purity. The isolates were then stored at -70°C in Trypticase soy broth containing 10% glycerol until further testing.
MIC determination.
Before the MIC determination, all isolates were regrown by three subcultures on trypticase soy agar (Difco) for E. coli strains and Columbia agar (Difco) with 5% of defibrinated sheep blood for S. aureus strains and incubated for 18 to 24 h at 35 ± 2°C. The MIC determination of marbofloxacin was performed by the broth microdilution method according to the National Committee for Clinical Laboratory Standards (NCCLS, Wayne, PA) guideline (M31-A) for testing veterinary pathogens (NCCLS Document M31-A, 1999). The MIC were determined in 96-well microtiter plates, and the dilutions tested were 0.002 to 2 and 0.008 to 8 µg/mL. Quality control strains were included in each batch of organisms tested: S. aureus ATCC 29213 (American Type Culture Collection) or E. coli ATCC 25922. The MIC were determined after 18 to 24 h of incubation at 35 ± 2°C under aerobic conditions. The first dilution with no visible growth was considered as the MIC for each strain. The concentration of antibiotic able to inhibit the visible growth of 50% of a population of microorganisms (MIC50) and the concentration of antibiotic able to inhibit the visible growth of 90% of a population of microorganisms (MIC90) were calculated for both species as well as the minimum and maximum MIC (range).
The marbofloxacin breakpoints (validated following the NCCLS guideline [NCCLS Document M37-A, 1999]) for pathogenic bacteria isolated from pets and large animals are the following:
For susceptible strains MIC
1 µg/mL and a zone inhibition diameter
18 mm, for intermediate strains MIC = 2 µg/mL and a zone inhibition diameter [1517] mm, for resistant strains a MIC
4 µg/mL and a zone inhibition diameter
14 mm.
Determination of bactericidal activity of marbofloxacin.
Determination of the bactericidal activity of marbofloxacin was carried out on two strains of S. aureus isolated in France in 2001 from mastitis, which had respectively a MIC of 0.12 and 0.5 µg/mL. These MIC values were just below the MIC50 and just above the MIC90 obtained in the present field study (see Table 1
). The used methodology adheres to the NCCLS guideline M26-A (1999).
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The time-kill curve method was performed in glass tubes containing 1.8 mL of bacterial suspension in Mueller-Hinton (Difco) broth and 0.2 mL of a marbofloxacin solution in Mueller-Hinton broth to obtain a final concentration in tube of 0-, 1-, 2-, 4-, and 8-fold the marbofloxacin MIC of each tested bacterium. These tubes were incubated in a water bath at 35 ± 2°C under agitation. To determine the bacterial count, a sample of 50 µL was taken at 0, 1, 2, 4, 6, and 24 h of incubation and put into sterile 96-well microtiter plates. Thereafter, six successive dilutions with 150 µL of sterile saline solution (0.9% of NaCl) containing 0.02% of Tween 80 were performed. For each dilution, a sample of 50 µL was taken. An inoculation of 25 µL (spot) of each dilution was carried out on trypticase soy agar (Difco) with 1% active charcoal and 1% MgSO4 7H2O to avoid marbofloxacin carryover. The limit of detection was 160 cfu/mL. Each plate, prepared in duplicate, was incubated 18 to 24 h at 35 ± 2°C before count. A bactericidal activity of an antibiotic corresponds to a reduction equal to or more than 3 log10 cfu/mL of the inoculum size after 24 h of incubation. If this reduction appears in less than 6 h, the activity of the antibiotic is considered as concentration dependent and if the reduction appears only after 6 h, the activity is considered as time dependent.
The fluoroquinolones used in veterinary medicine are considered to have a concentration-dependent bactericidal activity on gram-negative aerobic bacteria and a time-dependent bactericidal activity on gram-positive aerobic bacteria.
Pharmacokinetic/Pharmacodynamic Integration
To predict a possible efficacy of antibiotics against different target pathogens, it is commonly accepted that the AUC/MIC ratio and Cmax/MIC ratio are suitable parameters, especially for fluoroquinolones (Hyatt et al., 1995; Schentag, 1999; Pickerill et al., 2000). For the calculation of the former ratio in milk, the AUC after the last dose until the end of a dosage interval was used, i.e., AUC48-71. The second term in the ratio was the MIC90 against both target pathogens, E. coli and S. aureus. This parameter is associated with a whole population of strains and not only with a single MIC value, making it much more predictive. The Cmax/MIC ratio was calculated with the peak milk concentration obtained after the third dose, the pharmacodynamic parameter was the same as in the first ratio.
| RESULTS |
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K01) of about 10 min and a Tmax of approximately 45 min (Table 2
K10), as determined by compartmental modeling, was relatively fast at 2.53 h. After the third administration, two elimination phases could be observed; the second slower phase had a half-life (T
zrd) of 6.27 h, which was determined by the noncompartmental analysis. The area under the curve during the first dosing interval (AUC0-23), as determined with linear trapezoidal method, was 7.648 µg h/mL.
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Milk Kinetics
As shown in Figure 2
, the concentration-time profile of marbofloxacin in milk closely paralleled the plasma profile. The occurrence of marbofloxacin in milk was somewhat delayed compared with the systemic absorption. Indeed, the mean observed Tmax after the first administration was 2.50 h. The mean Cmax1stobs was 1.024 µg/mL. This concentration was slightly increased after the third administration (about 10%), with a mean Cmax3rdobs value of 1.074 µg/mL, although this increase was not statistically significant (P = 0.37). The mean concentration observed 23 h after the third administration (C71), 0.01603 µg/mL, was increased by about 30% when compared with the mean concentration observed 23 h after the first administration (C23), 0.01257 µg/mL, this difference being statistically significant (P = 0.028). The mean partial AUC calculated from the third administration until 23 h later (AUC48-71 = 6.513 µg h/mL) was only marginally increased by around 2% compared with the partial AUC obtained after the first administration (AUC0-23 = 6.383 µg h/mL). The difference between both partial areas was not statistically significant (P = 0.63). It can be concluded that there is no accumulation in milk.
The elimination half-life after the first administration, (T
z1st), was relatively fast, with a mean value of 3.11 h. The elimination half-life after the third administration, (T
z3rd), was much longer, with a mean value of 9.94 h. This difference can be explained by the time points that are available for the calculation of the half-lives. After the first administration, samples were available until 23 h later, whereas after the third administration, samples were available until 47 h later. Therefore, T
z3rd was calculated using later time points belonging to a second slower elimination phase. This second slower elimination phase occurred also in the plasma.
Both metabolites were detected in the milk, but their concentrations were below the limit of quantification for all time points. Thus, they did not contribute significantly to the elimination of marbofloxacin.
Pharmacodynamics
The obtained MIC range, MIC50, and MIC90 values are given in Table 1
. Escherichia coli strains were very sensitive to marbofloxacin with a very low MIC90 (0.016 µg/mL) and a relatively narrow MIC range. Only one strain was resistant to marbofloxacin. The marbofloxacin MIC range was close to published values for enrofloxacin (Von Walser et al., 1993), with a MIC range of 0.03 to 1.0 µg/mL. Nevertheless, the MIC50 and MIC90 values were better for marbofloxacin than for enrofloxacin, which has the following values: MIC50 of 0.04 µg/mL and MIC90 of 0.14 µg/mL. The marbofloxacin activity was also better than the activity of norfloxacin (Schlegelva et al., 2002) against E. coli isolated from bovine mastitis with a MIC range of 0.25 to 0.5 µg/mL, a MIC50 of 0.25 µg/mL and a MIC90 of 0.5 µg/mL.
Against S. aureus, the marbofloxacin MIC90 was higher (0.229 µg/mL) compared with the value against E. coli. However, no S. aureus strain was resistant to marbofloxacin. In general, the fluoroquinolones, until the third generation, are less active against gram-positive bacteria than against gram-negative bacteria.
These marbofloxacin results against S. aureus were comparable to those of danofloxacin (MIC90 of 0.18 µg/mL), obtained for S. aureus isolated from bovine mastitis (Cruz et al., 1998). In Europe, the enrofloxacin MIC50 and MIC90 values determined against S. aureus isolated from bovine mastitis were = 0.06 to 0.125 µg/mL and = 0.06 to 0.31 µg/mL, respectively, with a range of <0.03 to 64 µg/mL (Von Walser et al., 1993; Salmon et al., 1998; De Oliveiral et al., 2000). In the United States, the enrofloxacin MIC50 and MIC90 values determined against S. aureus isolated from mastitis were higher than in Europe: = 0.25 to 0.5 µg/mL and = 0.25 to 0.5 µg/mL, respectively, with a range of = 0.13 to 1 µg/mL (Watts et al., 1995; Gianneechini et al., 2002). Thus, the results obtained with marbofloxacin were comparable to the results obtained with enrofloxacin. In the two DANMAP reports (2000 (2001), the ciprofloxacin MIC values obtained against S. aureus isolated from bovine mastitis were similar to the results obtained for marbofloxacin: in 2000 the MIC range was between 0.125 and 2 µg/mL, with a MIC50 of 0.25 µg/mL and a MIC90 of 0.5 µg/mL; in 2001, the MIC range was between 0.12 and 0.5 µg/mL (the range being lower than in 2000).
The marbofloxacin activity was better than the activity of norfloxacin against S. aureus with a MIC range of 1 to 16 µg/mL, a MIC50 of 2 µg/mL and a MIC90 of 2 µg/mL (Schlegelva et al., 2002).
The time-killing curves of both S. aureus strains tested were very similar (Figure 3
). As the susceptibility to marbofloxacin of the two strains tested were representative of 50% of the population and 90% of the population, we could consider that the time-killing curve indicates that marbofloxacin has a time-dependent bactericidal activity at a minimum of fourfold the MIC against all the S. aureus strains isolated from bovine mastitis. Thus, the marbofloxacin minimal bactericidal concentration (MBC) of each tested strain was, respectively, 0.5 and 2 µg/mL. These MBC were similar to the MBC for danofloxacin (Cruz et al., 1998) for the same type of isolates.
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Pharmacokinetic/Pharmacodynamic Integration
The Cmax/MIC ratio was 67 for E. coli strains and 4.7 for S. aureus strains. The AUC/MIC ratio for E. coli strains was 407 h and for S. aureus strains, it was 28 h. To be a good predictive tool of clinical cure and avoidance of resistance, the endpoints of these ratios should be at least of 10 for Cmax/MIC and of 125 h for AUC/MIC (Hyatt et al., 1995; Schentag, 1999; Pickerill et al., 2000; Schentag et al., 2001). An AUC/MIC ratio of 250 h indicates that even bacterial eradication may be achieved. Thus, these endpoints are only reached for E. coli strains, whereas relatively far away for S. aureus strains. However, as the activity of fluoroquinolones against gram-positive strains is rather time dependent, some activity against S. aureus strains may be expected.
| DISCUSSION |
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K10 = 2.53 h in plasma and T
z1st = 3.11 h in milk) followed by a second slower phase (T
z3rd = 6.27 h in plasma and 9.94 h in milk). The difference between the plasma and milk elimination half-lives of the second phase can be explained by the fact that the limit of quantification (LOQ) of the assay method in milk (LOQ = 0.001 µg/mL) is lower than the LOQ in plasma (LOQ = 0.010 µg/mL). Therefore, more concentration-time points are available in milk for the estimation of the last elimination half-life. The Cmax values were reduced in milk by about 40 to 50%. The concentrations observed 23 h after the first and the third administration, as well as the partial AUC, were about 20% lower in milk than in plasma. However, the reduction of the dose-dependent parameters in milk compared with plasma should not affect the ability of marbofloxacin to treat clinical mastitis. Indeed, the pharmacokinetic/pharmacodynamic integration showed that the elimination characteristics of marbofloxacin in the milk should be appropriate to treat an E. coli-induced mastitis following a systemic dose of 2 mg/kg. The obtained Cmax/MIC ratio was about seven times higher than the recommended ratio, the obtained AUC/MIC ratio being about three times higher than the recommended cure ratio, and it was even higher than the eradication ratio of 250 h. Moreover, the milk concentrations of marbofloxacin stayed above the MIC90 against E. coli during the whole dosing interval. Regarding S. aureus strains, the cure and eradication predictive ratios are not reached. However, a marbofloxacin concentration of 0.5 µg/mL was maintained for 5 to 6 h in the milk. Thus, against the strain with a MIC of 0.5 µg/ml and which is representative of more than 90% of the population, the activity of marbofloxacin should be at least bacteriostatic for about 6 h. Moreover, against the S. aureus strain with a MIC of 0.12 µg/mL, representative of more than 50% of the population, the concentration was maintained above 4 times the MIC for about 6 h. Thus, against these strains, although the PK-PD endpoints are not met, a 100-fold reduction of the bacterial count may be expected. This discussion on possible efficacy relies on activity measurements performed in broth mediums. Now, the target medium for mastitis treatment is milk, which is well documented in having some interactions with fluoroquinolones. Some divalent and trivalent metal ions are known to bind to the 3,4-ß-diketone residue of the fluoroquinolones, which is also the binding site to the topoisomerase II. However, between the metal ions, the calcium divalent cation, which occurs in high concentrations in milk, has the lowest association constant, whereas iron and aluminum cations have the highest constants (Ross and Riley, 1994). Furthermore, the paper of Fang and Pyörälä (1996) showed that milk reduced the activity of enrofloxacin against E. coli strains only by a factor of 2. Transposing this twofold activity decrease to marbofloxacin would still result in PK/PD endpoints, which meet the target values against E. coli. Against S. aureus, the reduction in activity induced by the milk would result in very poor predictive outcome markers at the dose of 2 mg/kg. But, S. aureus is not the target pathogen of the fluoroquinolones for the treatment of clinical mastitis; the combination with a ß-lactamine could easily overcome this potential problem.
Compared with the paper by Shem-Tov et al. (1997), the plasma profile was in good agreement, whereas the milk profile was very different. The dose-dependent parameters, Cmax and AUC, obtained in the milk by Shem-Tov et al. (1997) were about 2 times lower than in the present study. These lower values of the dose-dependent parameters may be related to the analytical method. Indeed, the authors used a microbiological method for the quantification of marbofloxacin in the serum and milk samples. It seems that their calibration points were prepared in standard solutions and not in blank milk. A poorer diffusion of marbofloxacin in the milk when compared with that in the calibration standard samples, thus, may have induced a bias in the measured concentrations of the milk samples. The parallel elimination pattern in plasma and milk was another finding that is inconsistent with the paper of Shem-Tov et al. (1997), which showed a slower elimination in milk, attributed to concomitant excretion of putative active metabolites. We showed in the second trial that the excretion of marbofloxacin metabolites is very limited, and, thus, their contribution to the slower elimination phase is doubtful.
When compared to the relatively shallow kinetic profile of enrofloxacin in milk after intramuscular administration (Kaartinen et al., 1995), the profile of marbofloxacin is rather steep. The authors (Kaartinen et al., 1995) attributed this shallow profile of enrofloxacin to a flip-flop phenomenon resulting from a delayed absorption, which in turn resulted from a pronounced local tissue irritation. This was obviously not the case with marbofloxacin. Another difference between both compounds was the accumulation in milk of the active metabolite of enrofloxacin, ciprofloxacin, which contributes to the overall antibacterial activity. However, this ciprofloxacin milk accumulation can also contribute to the building up of detectable amounts of residue. As marbofloxacin metabolites were not observed in quantifiable amounts, such an accumulation is not expected. The shallow elimination profile in milk is also obtained after intramuscular administration of danofloxacin in dairy cows (Shem-Tov et al., 1998). However, the danofloxacin milk concentrations were also determined by a microbiological method, thus rendering a direct comparison with marbofloxacin rather difficult.
| CONCLUSION |
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Received for publication March 15, 2003. Accepted for publication May 2, 2003.
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