Self-assembly of three-legged patchy particles into polyhedral cages.

The self-assembly of rigid three-legged building blocks into polyhedral cages is investigated by patchy particle simulations. A four-site anisotropic interaction potential is introduced to make pairs of overlapping legs bind in an anti-parallel fashion, thereby forming the edges of a polyhedron of pentagons and hexagons. A torsional potential, reflecting an asymmetry or polarity in the legs' binding potential, proves crucial for the successful formation of closed fullerene-like cages.

Asymmetry as the key to clathrin cage assembly.

The self-assembly of clathrin proteins into polyhedral cages is simulated for the first time (to our knowledge) by introducing a coarse-grain triskelion particle modeled after clathrin's characteristic shape. The simulations indicate that neither this shape, nor the antiparallel binding of four legs along the lattice edges, is sufficient to induce cage formation from a random solution. Asymmetric intersegmental interactions, which probably result from a patchy distribution of interactions along the legs' surfaces, prove to be crucial for the efficient self-assembly of cages.