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

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

doi:10.1016/S0895-7177(03)90021-5

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

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

Medicine - Pulmonary, Allergy, Critical

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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: 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 = R_L and R₂ = 0 (linear model); (ii) R₁ = 0 and R₂ = R_N (nonlinear model). For clinical ranges of resistances (R₁ and R₂), 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)
Pages (from-to)	495-502
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	38
Issue number	5-6
DOIs	https://doi.org/10.1016/S0895-7177(03)90021-5
State	Published - Oct 10 2003

Keywords

Mathematical model
Mechanical ventilation
Rohrer model

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

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: 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.",

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AU - Hota, S.

AU - Marini, John J

AU - Hotchkiss, J. R.

PY - 2003/10/10

Y1 - 2003/10/10

N2 - 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.

AB - 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.

KW - Mathematical model

KW - Mechanical ventilation

KW - Rohrer model

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

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