A model for coding of odor intensity in the first two neuronal layers
of olfactory systems is proposed. First, the occupation and activation
by odorant molecules of receptor proteins of different types borne by
the first order neurons are described as birth and death processes. T
he occupation (birth) rate depends on the concentration of the odorant
, whereas the probability of activation of an occupied receptor depend
s on the type of the odorant. Second, the spike generation mechanism p
roposed for the first order neuron depends on the level of the generat
or potential evoked by the activated receptors and on a time-decaying
threshold which is reset to infinity after each spike. The various res
ulting stochastic regimes of firing activity at different concentratio
ns are described. Third, each second order neuron is influenced by exc
itation coming from numerous first order neurons, lateral inhibition f
rom other second order neurons, and self-inhibition. All these incomin
g signals are integrated at the second order neuron. The firing activi
ty of the first and second order neurons is modeled by a first passage
time scheme. For both types of neuron the shapes of the curves predic
ted by the model for the mean firing frequency as a function of stimul
us concentration are shown to be in accordance with available experime
ntal results.