In vitro researches on rat cells exposed to several types of thin asbe
stos fibres show a saturation in cytotoxicity as one increases the fib
re concentration n on the cell surface. For given average fibre length
s, the saturation occurs at values that are 2-3 times the critical con
centration n(c) for a percolative arrangement of randomly thrown stick
s on a surface. Measurements of the threshold for genotoxic damage giv
e concentrations that are about O.1n(c). One expects that, somewhere b
etween these concentrations, large scale ''critical fluctuations'' wil
l be observed in the data. These fluctuations are indeed seen in chrys
otile treated rat pleural mesothelial cells, exhibiting DNA damage and
chromosomal-number aberrations. We hypothesize that at such concentra
tions that fibre-clustering occurs, the fibres lock together and are h
indered from traversing the cell membranes and internalizing. Some dam
age processes are thereby impeded. The kinetics of internalization is
worked out with models involving continuum percolation. Pieces of evid
ence from in vivo results that support the theory are noted.