Abstract
The decay constants (k j ) of the equation of inert gas exchanges are the roots of an algebraic equation of degreen+1, wheren is the number of distinct absorbing tissues. The coefficients of this equation can be obtained numerically by certain independent experiments to measure the tissue parameters. Graphical solution of this equation yields theoretical values of thek j . Combining these constants with the numerical values for the partial derivatives of thek j then gives the per cent rate of change of thek j as any one tissue parameter varies by a given fraction of its normal range. A numerical example of these calculations shows good conformity with experiment, and permits a quantitative estimate of variations in the speed of gas exchange from a knowledge of changes in the physiological state.
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Morales, M.F., Smith, R.E. The physiological factors which govern inert gas exchange. Bulletin of Mathematical Biophysics 7, 99–106 (1945). https://doi.org/10.1007/BF02478311
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DOI: https://doi.org/10.1007/BF02478311