We propose a unified approach of the viscoelastic models introduced by
Otis, Mead and Mount to describe the mechanical behaviour of the resp
iratory system. A single equation of motion is developed for these two
-compartment models and solved in response to typical pressure and vol
ume inputs. The analytic expressions of the pressure response to rapid
airway occlusion following constant flow inflation, and of the volume
response to single breath following end-inspiratory pause are more pa
rticularly analysed. The lumped respiratory parameters derived from th
ese responses are expressed as functions of the parameters characteris
ing the constitutive mechanical elements of each model. Different comb
inations of respiratory models and of methods for measuring respirator
y mechanics are examined. For each model, the physiological interpreta
tion of the lumped mechanical parameters is summarised in terms of gas
redistribution or tissue viscoelastic properties.