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The basic idea (Haldane, 1908)<ref name="haldane" /> is to represent the human body by multiple tissues (compartments) of different saturation half-times and to calculate the partial pressure <math>P</math> of the inert gases in each of the <math>n</math> compartments (Haldane's equation):
<big><math>P = P_0 + (P_{gas} - P_0) \cdot (1 - 2^{-\frac{t_{exp}}{t_{1/2}}})</math></big>
with the initial partial pressure <math>P_0</math>, the partial pressure in the breathing gas <math>P_{gas}</math> (minus the vapour pressure of water in the lung of about 60 mbar), the time of exposure <math>t_{exp}</math> and the compartment-specific saturation half-time <math>t_{1/2}</math>.
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