This paper proposes a method for the quantitative characterization of reper
toire diversity of an unknown mixture of antibodies on the basis of its rea
ctivity profile in the quantitative immunoblot (QIB). The QIB is calibrated
by measuring the reactivity profiles of supernatants of known 'diversity'
(i.e. known numbers of B cell clones). We define a quantitative 'index of v
ariability' (IV) which decreases regularly as the diversity increases and t
he profiles tend towards a common 'convergence profile'. The calibration pr
ocedure is consolidated by a mathematical model based on the Poisson distri
bution; this theoretical model accounts correctly for the observed converge
nce behavior. On the basis of this calibration curve, it is possible to est
imate the diversity of an unknown antibody mixture from a measure of its IV
. We conclude that the functional diversity of natural serum IgM in mice ca
n be estimated at similar to 16,000 clones.