Alternative model of respiratory tissue viscoplasticity.

Respiratory tissue impedance exhibits both tidal volume and frequency dependences in the ranges of normal breathing. Hildebrandt argued that these indicate tissue viscoplasticity and offered a model in support of his argument consisting of viscoelastic and plastoelastic compartments, both mechanically in parallel (J. Appl. Physiol. 28: 365-372, 1970). Although the model appears to be qualitatively consistent with oscillatory behavior of a wide variety of respiratory tissues, it yields only moderately good quantitative correspondences despite a relatively large number of parameters, eight. One reason may be the model topology, which implies that rate-dependent and amplitude-dependent processes are decoupled. This is contrary to observed behavior. In this study we offer a model in which viscoelastic and plastoelastic compartments are mechanically coupled through a serial arrangement. The total number of parameters in the model is four. Using a least squares technique, we fitted this model to impedance data of chest wall, healthy lungs, and edematous lungs, all measured in vivo. We found that the model could account for the major, as well as the more subtle, features of the chest wall data with fewer parameters and fewer ad hoc assumptions than Hildebrandt's model. Although it lacks anatomic specifics, the model suggests that the observed chest wall behavior may stem from the actin-myosin cross-bridge kinetics. It also seems applicable to lung tissue, although the requirements for the plastoelastic compartment are less certain. In the case of edematous lungs, the applicability of the model is difficult to establish.