Recently we introduced the Reduced Surface as an efficient tool to built molecular surfaces. We describe here how this geometric construct can be used to efficiently reconstruct the solvent excluded surface of a protein for which the coordinates of a subset of atoms are changing. We show that, the complexity of that operation is not dependent upon the size of the molecule and is in O[tlog(t)] w...

In this paper we shall investigate the normal surface displacement of the isotropic elastic half-space z > 0, due to a normal point force, F, which moves with constant speed, V, in the xdirection over the surface z = 0. This problem defines the Green's function for a class of elastodynamic contact problems for the half-space in which a frictionless rigid indenter moves at constant speed over th...