title: Mechanical and gas-distribution behavior of a collateral ventilation model.
abstract: We extended the theoretical analysis of Otis et al. (J. Appl. Physiol. 8: 427-443, 1956) to study the effects of collateral ventilation on lung mechanics and gas distribution. Equations were developed to express the effective compliance, the effective resistance, and the distribution of airflow and tidal volume in a two-compartment model incorporating a collateral communication. The analysis of the model showed that, in general, collateral ventilation tends to attenuate the degree of frequency dependence of compliance and resistance, the magnitude of this effect being dependent on the mechanical properties of the model, including collateral resistance. The influence of collateral ventilation is important when the model simulates the mechanical characteristics of the emphysematous lung (marked time-constant inequality with regionally high airway resistance, and relatively low collateral resistance). Under these conditions, a large fraction of the tidal volume of the high airway resistance lung compartment is contributed by the collateral communication. The effects of collateral ventilation on the mechanical behavior of the model are negligible when collateral resistance largely exceeds airway resistance (simulating experimental findings in normal lungs). The present theoretical data suggest that the use of equations based on a model incorporating collateral ventilation is justified, at least in predicting the mechanical and gas-distribution behavior of the lung in emphysema.
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D005740:Gases / Q000378:metabolism*; D006801:Humans; D008954:Models, Biological; D012119:Respiration; D013990:Tidal Volume; D014018:Tissue Distribution
chemical_list: D005740:Gases