Estimation of particle number by stereology: an update

Sampling designs dictated by stereology have proven very useful in recent years to estimate in situ the total number of deposited particles, or of macrophages, in different lung compartments at the light microscopical level. The sampling methods are based on parallel slabs which are subsequently subsampled by disectors. The resulting number estimators are unbiased irrespective of tissue shrinkage or swelling, and they are readily applicable in other contexts (notably in neuroscience). Several variants of the design are available, however, and, although they all yield the same number estimates, their precision, and the mathematical prediction of it, vary among the different estimators and are subjected to theoretical improvement. The present paper constitutes a detailed survey of the latest advances, and it illustrates methods and formulae alike by way of a real example stemming from an earlier study on particle retention and clearance.