General characteristics of the sigmoidal model equation representing quasi-static pulmonary P-V curves.

@article{Narusawa2001GeneralCO,
  title={General characteristics of the sigmoidal model equation representing quasi-static pulmonary P-V curves.},
  author={Uichiro Narusawa},
  journal={Journal of applied physiology},
  year={2001},
  volume={91 1},
  pages={
          201-10
        }
}
  • U. Narusawa
  • Published 1 July 2001
  • Mathematics
  • Journal of applied physiology
A pulmonary pressure-volume (P-V) curve represented by a sigmoidal model equation with four parameters, V(P) = a + b[1 + exp[-(P - c)/d]](-1), has been demonstrated to fit inflation and deflation data obtained under a variety of conditions extremely well. In the present report, a differential equation on V(P) is identified, thus relating the fourth parameter, d, to the difference between the upper and the lower asymptotes of the volume, b, through a proportionality constant, alpha, with its… 
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Methods Citations
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TLDR
It is concluded that some of the drawbacks in using P-V curves may be attributed to imprecise analysis tools and other forms of mathematical analysis should be investigated to increase the value of P-v curves.
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Similarities and differences among five different data groups are shown to be quantified through the nondimensional pressure range of an individual data set, combined with the magnitudes of two nondimensional parameters of the inflation limb, derived from a respiratory system model previously reported.
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The author applied a dimensional analysis in order to relate clinical data to the mathematical basis of a sigmoidal pulmonary pressure-volume curve as introduced by Venegas et al.
Parameters Derived from the Pulmonary Pressure–Volume Curve, but Not the Pressure–Time Curve, Indicate Recruitment in Experimental Lung Injury
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Parameters derived from the PV curve may help in characterizing the lung aeration of the lung and in indicating recruitment in the presence of lung-protective ventilator settings, as well as on the stress indexderived from the Paw-t curve, which was not able to indicate recruitment.
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