Gradual disruption of the actin cytoskeleton induces a series of structural
shape changes in cells leading to a transformation of cylindrical cell ext
ensions into a periodic chain of "pearls." Quantitative measurements of the
pearling instability give a square-root behavior for the wavelength as a f
unction of drug concentration, We present a theory that explains these obse
rvations in terms of the interplay between rigidity of the submembranous ac
tin shell and tension that is induced by boundary conditions set by adhesio
n points. The theory allows estimation of the rigidity and thickness of thi
s supporting shell. The same theoretical considerations explain the shape o
f nonadherent edges in the general case of untreated cells.