A physiologically based pharmacokinetic (PBPK) model exploring the blood-milk barrier in lactating species - A case study with oxytetracycline administered to dairy cows and goats.

Antibiotic excretion into milk depends on several factors such as the compound's physicochemical properties, the animal physiology, and the milk composition. The objective of this study was to develop a physiologically based pharmacokinetic (PBPK) model describing the passage of drugs into the milk of lactating species. The udder is described as a permeability limited compartment, divided into vascular, extracellular water (EW), intracellular water (IW) and milk, which was stored in alveolar and cistern compartments. The pH and ionization in each compartment and the binding to IW components and to milk fat, casein, whey protein, calcium, and magnesium were considered. Bidirectional passive diffusion across the blood-milk barrier was implemented, based on in vitro permeability studies. The model application used to predict the distribution of oxytetracycline in cow and goat milk, after different doses and routes of administration, was successful. By integrating inter-individual variability and uncertainty, the model also allowed a suitable estimation of the withdrawal periods. Further work is in progress to evaluate the predictive ability of the PBPK model for compounds with different physico-chemical properties that are potentially actively transported in order to extrapolate the excretion of xenobiotics in milk of various animal species including humans.

A liquid chromatography coupled to tandem mass spectrometry method for the quantification of spiramycin and its active metabolite neospiramycin in milk of major and minor species: Validation using the accuracy profile.

A liquid chromatography with tandem mass spectrometry (LC-MS/MS) method was developed for the simultaneous quantification of residues of spiramycin, a macrolide antibiotic, and its active metabolite neospiramycin in cow's milk as well as in minor species 'milk, goat and ewe. Spiramycin-d3 was used as internal standard for quantification of both analytes. This analytical method was validated using a global accuracy profile as a graphical decision tool built according to the trueness and the precision of the method. A unique and optimal linear model with logarithm transformation (with a determination coefficient of 0.9991) allowed the measurement of both analytes in the milks of the three animal species, in a wide range from 0.2 to 10 times the Maximal Residue Limit (MRL) (40-2000 µg.kg-1). The limits of detection and quantification were 13 µg.kg-1 and 40 µg.kg-1, respectively. The accuracy profile was established to get 80% of future measurements in routine assays that will fall within the acceptance limits. Trueness of the method, expressed as relative bias, was comprised between -1.6% and 5.7% over the whole range of concentrations. The mean relative standard deviation for repeatability and intermediate precision were comprised between 1.1% and 2.7%; 2.5 and 4.2%, respectively, in all levels of concentration for the three milks. Moreover, a two-order polynomial function was used to model the relative expanded uncertainty with a determination coefficient of 0.834. This function aimed to determine the uncertainty of the future quantifications within the validated dosing range. Overall, the global accuracy profile highlighted the reliability of the method for the routine assays of spiramycin and neospiramycin even in milk from minor species (goat, ewe) by using the most accessible milk (often from cow), while guaranteeing a very high proportion of samples within the fixed acceptance limits. The applicability of this method was tested during a depletion study of spiramycin and neospiramycin in the milk of cow, goat and ewe. The developed analytical method will be useful to assess the distribution profile of the antibiotic and its metabolite in milk of minor species where few studies are available.