Coding of odour quality in the first two neuronal layers of olfactory
systems is studied, taking especially insects as reference. First, odo
ur quality is defined by K independent molecular properties that activ
ate differentially the chemosensitive receptors of first-order neutron
s. Each odour quality discriminated is assumed to be coded by a distin
ct spatial activity pattern of the principal neurons (or equivalently
glomeruli) of the second layer. Second, computer simulations show that
the differential projections into glomeruli of several types of first
-order neurons (convergence) is the main factor responsible for the ge
neration of activity maps. These maps give a complete and unbiased rep
resentation of all odour qualities which make them suitable as an inte
rnal code. Third, lateral inhibition mediated by local neurons can sig
nificantly increase the difference of activity between the least and m
ost active glomeruli for each odour, and consequently the total number
of discriminated odours. Fourth, the most efficient coding is yielded
when the projection of first-order neurons into glomeruli is regular
and the local neurons exert actions governed by a time-dependent algor
ithm due to Herault and Jutten that maximizes the independence of prin
cipal neurons. In most cases the action is found to be inhibitory alth
ough its sign is not imposed by the algorithm. Fifth, the significance
of these results for transduction and selectivity of first-order neur
ons, identifiability of glomeruli and resistance to damage of olfactor
y systems is discussed.