The concept of shape space, which has been successfully implemented in immu
nology, is used here to construct a model for the discrimination power of t
he olfactory system. Using reasonable assumptions on the behaviour of the b
iological system, we are able to estimate the number of distinct olfactory
receptor types. Our estimated value of around 1000 receptor types is in goo
d agreement with experimental data. (C) 2001 Society for Mathematical Biolo
gy.