## Abstract

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: R_{1}Q + R_{2}Q|Q| where Q denotes the flow in and out of the compartment. This Rohrer-type model (R_{1} ≠ 0 and R _{2} ≠ 0) is compared against the special cases: (i) R_{1} = R_{L} and R_{2} = 0 (linear model); (ii) R_{1} = 0 and R_{2} = R_{N} (nonlinear model). For clinical ranges of resistances (R_{1} and R_{2}), compliance (C), applied pressure (P_{set}), 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 R_{L} 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 language | English (US) |
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Pages (from-to) | 495-502 |

Number of pages | 8 |

Journal | Mathematical and Computer Modelling |

Volume | 38 |

Issue number | 5-6 |

DOIs | |

State | Published - Oct 10 2003 |

## Keywords

- Mathematical model
- Mechanical ventilation
- Rohrer model