  The surface of a molecule determines much of its chemical and physical
property, and is of great interest and importance. In this Letter, we introduce
the concept of molecular multiresolution surfaces as a new paradigm of
multiscale biological modeling. Molecular multiresolution surfaces contain not
only a family of molecular surfaces, corresponding to different probe radii,
but also the solvent accessible surface and van der Waals surface as limiting
cases. All the proposed surfaces are generated by a novel approach, the
diffusion map of continuum solvent over the van der Waals surface of a
molecule. A new local spectral evolution kernel is introduced for the numerical
integration of the diffusion equation in a single time step.
