Statistical analysis is applied to a set of electron micrographic images (K
ocsis, E,, B. L. Trus, C, J. Steer, M. E, Bisher, and A, C. Steven. 1991. J
. Struct. Biol. 107:6-14), from which quantitative measures are obtained to
support the notion that the three arms of a triskelion have statistically
identical properties and exhibit independent structural fluctuations. addit
ionally, a study of local contour fluctuations, which indicates that the el
astic properties of a triskelion arm are approximately constant over the en
tire arm length, is used along with a small deformation statistical mechani
cs theory to derive an:effective, average flexural rigidity for the arms. T
his result is used to estimate the bending energy necessary to deform a cla
thrin patch, and comparison is made with the deformation energy of an equiv
alent area of non-clathrin-coated membrane. We estimate that the rigidity o
f the clathrin lattice is at least comparable to that of a typical membrane
. Hence, the natural curvature of a clathrin cage can stabilize, and perhap
s propel, the formation of intracellular coated vesicles.