An equation of the form K = C/[1 − (V/Vmax)]n relating the bulk modulus K to the relative volume V/Vmax of lung region during inflation-deflation maneuvers is proposed. It well represents the observed fact that the bulk modulus becomes infinitely large when the regional volume approaches its maximum capacity Vmax. The parameter C describes the bulk modulus at low regional volume whereas the parameter n quantifies the rate at which the bulk modulus changes during the inflation-deflation maneuvers. The mathematical expressions for the regional pressure, P, and volume V, are obtained by integrating the equation K = VdP/dV. They fit exceedingly well with the experimental data recorded during inflation-deflation tests of six excised canine lung lobes.
On Relationship Between Bulk Modulus and Relative Volume of Lung During Inflation-Deflation Maneuvers
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Pao, Y. C., Shy, D. S., and Chevalier, P. A. (May 1, 1982). "On Relationship Between Bulk Modulus and Relative Volume of Lung During Inflation-Deflation Maneuvers." ASME. J Biomech Eng. May 1982; 104(2): 136–142. https://doi.org/10.1115/1.3138327
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