Application of statistical thermodynamics to the olfaction mechanism

The application of the grand canonical ensemble in statistical thermodynamics to the stimulus adsorption on the olfactory receptor sites, assuming some simplifying hypotheses, leads us to an expression of the olfactory response R, which is a function of various physico-chemical parameters involved in the olfaction mechanism, e.g. the stimulus concentration, the saturated vapor pressure, the power law exponent and the partition coefficient. This expression of R is in agreement with the olfactory response of the Hill model, but is more explicit. Stevens' law and the olfactory threshold expression are easily deduced from R. The expression of the threshold we established from R enabled us to explain some empirical relations in the literature between the parameters quoted above. The use of the grand canonical ensemble with the chemical potential notion gave us an interpretation of Stevens' law and a better understanding of the role of some parameters involved in the olfaction mechanism, such as saturated vapor pressure and power law exponent.