A pharmacodynamic model of tidal volume and inspiratory sevoflurane concentration in children during spontaneous breathing.

High concentrations of sevoflurane causes respiratory depression, mainly due to the decrease in tidal volume (TV) during spontaneous ventilation. The purpose of this study was to identify clinical variables that affect the relationship between TV and sevoflurane concentration, and to establish a population pharmacodynamic modelling approach to TV and sevoflurane concentration in children. A prospective observational study involving 48 patients (≤ 6 years of age) scheduled to undergo general anesthesia using laryngeal mask airway was performed. When the inspiratory sevoflurane concentration reached 2 vol%, the vaporizer was increased to 4 vol% for 5 min, then sevoflurane was decreased to 2 vol% for 5 min. During the study period, TV, end-tidal carbon dioxide, and sevoflurane concentration were recorded every 30 s. Pharmacodynamic analysis using a sigmoid E model was performed to assess the TV-sevoflurane concentration relationship. To collapse hysteresis of the pharmacokinetic and pharmacodynamic relationship, the semicompartmental model was applied which does not require a structural model for equilibration delay causing the hysteresis. TV decreased with increasing inspiratory sevoflurane concentrations. Hysteresis between the TV and sevoflurane concentration was observed and was accounted for when the model was developed. Initial TV and maximal reduction in TV were related to body weight. The γ (a steepness of the concentration-response relation curve) was 8.78 and the k, (a first-order rate constant determining the equilibrium between the end-tidal sevoflurane concentration and effect site sevoflurane concentration) was 2.27 min. Changes in TV were correlated with sevoflurane concentration with spontaneous breathing during sevoflurane anesthesia. The initial and maximal TV were related to body weight, in a pediatric population.