### Abstract

We analyze gas exchange during high-frequency ventilation (HFV) by a stochastic model that divides the dead space into N compartments in series where each compartment has a volume equal to tidal volume (V). We then divide each of these compartments into α subcompartments in series, where each subcompartment receives a well-mixed concentration from one compartment and passes a well-mixed concentration to another in the direction of flow. The number of subcompartments is chosen on the basis that 1/α = (σ(t)/t̄)^{2}, where t̄ is mean transit time across a compartment of volume, and σ(t) is standard deviation of transit times. If (σ(t)/t̄)(D) applies to the transit times of the entire dead space, the magnitude of gas exchange is proportional to (σ(t)/t̄)(D), frequency, and V raised to some power greater than unity in the range where V is close to V(D). When V is very small in relation to V(D), gas exchange is proportional to (σ(t)/t̄)(D)^{2}, frequency, and V raised to a power equal to either one or two depending on whether the flow is turbulent or streamline, respectively. (σ(t)/t̄)(D) can be determined by the relation between the concentration of alveolar gas at the air outlet and volume expired as in a Fowler measurement of the volume of the dead space.

Original language | English (US) |
---|---|

Pages (from-to) | 1956-1970 |

Number of pages | 15 |

Journal | Journal of Applied Physiology |

Volume | 58 |

Issue number | 6 |

State | Published - 1985 |

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### ASJC Scopus subject areas

- Endocrinology
- Physiology
- Orthopedics and Sports Medicine
- Physical Therapy, Sports Therapy and Rehabilitation

### Cite this

*Journal of Applied Physiology*,

*58*(6), 1956-1970.

**Model of gas transport during high-frequency ventilation.** / Permutt, S.; Mitzner, Wayne A; Weinmann, G.

Research output: Contribution to journal › Article

*Journal of Applied Physiology*, vol. 58, no. 6, pp. 1956-1970.

}

TY - JOUR

T1 - Model of gas transport during high-frequency ventilation

AU - Permutt, S.

AU - Mitzner, Wayne A

AU - Weinmann, G.

PY - 1985

Y1 - 1985

N2 - We analyze gas exchange during high-frequency ventilation (HFV) by a stochastic model that divides the dead space into N compartments in series where each compartment has a volume equal to tidal volume (V). We then divide each of these compartments into α subcompartments in series, where each subcompartment receives a well-mixed concentration from one compartment and passes a well-mixed concentration to another in the direction of flow. The number of subcompartments is chosen on the basis that 1/α = (σ(t)/t̄)2, where t̄ is mean transit time across a compartment of volume, and σ(t) is standard deviation of transit times. If (σ(t)/t̄)(D) applies to the transit times of the entire dead space, the magnitude of gas exchange is proportional to (σ(t)/t̄)(D), frequency, and V raised to some power greater than unity in the range where V is close to V(D). When V is very small in relation to V(D), gas exchange is proportional to (σ(t)/t̄)(D)2, frequency, and V raised to a power equal to either one or two depending on whether the flow is turbulent or streamline, respectively. (σ(t)/t̄)(D) can be determined by the relation between the concentration of alveolar gas at the air outlet and volume expired as in a Fowler measurement of the volume of the dead space.

AB - We analyze gas exchange during high-frequency ventilation (HFV) by a stochastic model that divides the dead space into N compartments in series where each compartment has a volume equal to tidal volume (V). We then divide each of these compartments into α subcompartments in series, where each subcompartment receives a well-mixed concentration from one compartment and passes a well-mixed concentration to another in the direction of flow. The number of subcompartments is chosen on the basis that 1/α = (σ(t)/t̄)2, where t̄ is mean transit time across a compartment of volume, and σ(t) is standard deviation of transit times. If (σ(t)/t̄)(D) applies to the transit times of the entire dead space, the magnitude of gas exchange is proportional to (σ(t)/t̄)(D), frequency, and V raised to some power greater than unity in the range where V is close to V(D). When V is very small in relation to V(D), gas exchange is proportional to (σ(t)/t̄)(D)2, frequency, and V raised to a power equal to either one or two depending on whether the flow is turbulent or streamline, respectively. (σ(t)/t̄)(D) can be determined by the relation between the concentration of alveolar gas at the air outlet and volume expired as in a Fowler measurement of the volume of the dead space.

UR - http://www.scopus.com/inward/record.url?scp=0021816411&partnerID=8YFLogxK

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M3 - Article

VL - 58

SP - 1956

EP - 1970

JO - Journal of Applied Physiology

JF - Journal of Applied Physiology

SN - 0161-7567

IS - 6

ER -