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On the uptake, regulation and pulmonary elimination of inert vapours and gases

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Abstract

A mathematical model is presented which provides analytical solutions for the uptake regulation and pulmonary elimination of inert vapours and gases. The results obtained are in extremely good agreement with both experimental data and the exact numerical solutions usually suggested in the literature. In particular, some analytical solutions to correlate the behaviour of the gas concentration in the tissues with the various physiological parameters during the uptake regulation and desorption have been obtained.

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Abbreviations

V :

volume

C 0 :

inhaled concentration

\(\bar C_v \) :

mean concentration in venous blood

C i :

gas concentration in theith compartment (i=1, 2, …,n+1)

C a :

gas concentration in the arterial blood

C vi :

gas concentration in venous blood from the organs (i=2, 3,…,n+1)

C 0 :

arbitrary concentration

x i=Ci/C0 :

dimensionless concentration

Q 1 :

alveolar ventilation

Q s :

blood flow rate to the lungs

Q i :

blood flow rate to the organs (i=2, 3,…,n+1)

t :

time

v 1=Vi/V1 :

dimensionless volume of compartmenti (i=2, 3, …,n+1)

θ i=τi/τ1 :

saturation time of compartmenti (i=2, 3, …,n+1)

Z=t/τ1 :

dimensionless time

λ 1 :

partition coefficient blood/gas

λ 1 :

partition coefficient blood/organs

426-7 :

(i=1, 2, …,n+1)

References

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  • Palazzi, E., Rovatti, M., del Borghi, M., Peloso, A. andZattoni, J. (1983)n-compartment mathematical model for the uptake and distribution of inhaled inert gases in the human body: an analytical solution.Med. & Biol. Eng. & Comput.,21, 128–133.

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Authors and Affiliations

  1. Istituto di Scienze e Tecnologie dell Ingegneria Chimica, vie opera Pia 15, 16145, Genova, Italy

    E. Palazzi, M. Rovatti, M. del Borghi, A. Peloso & G. Ferraiolo

Authors
  1. E. Palazzi
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  2. M. Rovatti
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  3. M. del Borghi
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  4. A. Peloso
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  5. G. Ferraiolo
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Palazzi, E., Rovatti, M., del Borghi, M. et al. On the uptake, regulation and pulmonary elimination of inert vapours and gases. Med. Biol. Eng. Comput. 22, 426–432 (1984). https://doi.org/10.1007/BF02447702

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  • DOI: https://doi.org/10.1007/BF02447702

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