  We describe a temporal multiscale approach for the simulation of long-term
processes with short-term influences involving partial differential equations.
The specific problem under consideration is a growth process in blood vessels.
The \emph{Candy Wrapper Process} describes a restenosis in a vessel that has
previously be widened by inserting a stent. The development of a new stenosis
takes place on a long time horizon (months) while the acting forces are mainly
given by the pulsating blood flow. We describe a coupled pde model and a finite
element simulation that is used as basis for our multiscale approach, which is
based on averaging the long scale equation and approximating the fast scale
impact by localized periodic-in-time problems. Numerical test cases in
prototypical 3d configurations demonstrate the power of the approach.
