Analysis of the pressure-volume relationship of excised lungs

The pressure-volume relationship of excised lungs is explicitly defined in the form of a mathematical model. In the model, lung volume (V) is given by the function V = VmaxF(Ptp,T*)H(Ptp). Vmax is maximum lung volume. F, which describes the recruitment of air-filled units, is a function of transpulmonary pressure (Ptp) and surface tension (T*), whereas H, which is also a function of transpulmonary pressure, describes the expansion of recruited units against tissue forces. F is shown to be the integral of the normalized distribution function of the lung units and remains constant so long as the number of air-filled units does not change. H, on the other hand, is shown to be the product of the elastic properties of the tissues and is responsible for the characteristic non-linear sigmoid shape of lung deflation curves. Results obtained with the model are consistent with the hypothesis that tissue elasticity, tissue hysteresis, area dependent surface tension, and recruitment share responsibility for the characteristic hysteresis of excised lungs.