The tidal breathing lung model described for the sine-wave technique (D. J.
Gavaghan and C. E. W. Hahn. Respir. Physiol. 106: 209-221, 1996) is genera
lized to continuous ventilation-perfusion and ventilation-volume distributi
ons. This tidal breathing model is then applied to the multiple inert gas e
limination technique (P. D. Wagner, H. A. Saltzman, and J. B. West. J. Appl
. Physiol. 36: 588-599, 1974). The conservation of mass equations are solve
d, and it is shown that 1) retentions vary considerably over the course of
a breath, 2) the retentions are dependent on alveolar volume, and 3) the re
tentions depend only weakly on the width of the ventilation-volume distribu
tion. Simulated experimental data with a unimodal ventilation-perfusion dis
tribution are inserted into the parameter recovery model for a lung with 1
or 2 alveolar compartments and for a lung with 50 compartments. The paramet
ers recovered using both models are dependent on the time interval over whi
ch the blood sample is taken. For best results, the blood sample should be
drawn over several breath cycles.