Mathematical Models of Passive, Pressure-Controlled Ventilation with Different Resistance Assumptions

P. S. Crooke, S. Hota, John J Marini, J. R. Hotchkiss

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A class of one-compartment models for pressure controlled mechanical ventilation is studied. The resistive pressure term in the general model is of the form: R1Q + R2Q|Q| where Q denotes the flow in and out of the compartment. This Rohrer-type model (R1 ≠ 0 and R 2 ≠ 0) is compared against the special cases: (i) R1 = RL and R2 = 0 (linear model); (ii) R1 = 0 and R2 = RN (nonlinear model). For clinical ranges of resistances (R1 and R2), compliance (C), applied pressure (Pset), frequency (f), and inspiratory time-fraction (D), the Rohrer model is used to compute the key outcome variables: tidal volume, average volume, end-expiratory pressure, and mean alveolar pressure. These values are compared against those obtained using equivalent RL and R N values. It is demonstrated that for clinically relevant ranges of the physiologic and ventilator parameters, little difference is observed between the Rohrer and nonlinear model.

Original languageEnglish (US)
Pages (from-to)495-502
Number of pages8
JournalMathematical and Computer Modelling
Issue number5-6
StatePublished - Oct 10 2003


  • Mathematical model
  • Mechanical ventilation
  • Rohrer model


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