  We discuss inflation in models with large extra dimensions, driven by a bulk
scalar field. The brane inflaton is then a single effective field, obtained
from the bulk scalar field by scaling. The self interaction terms of the
effective brane inflaton are then naturally suppressed. The picture is
consistent with a fundamental string scale in the TeV range without the problem
of a superlight inflaton. If hybrid inflation is considered, the right
prediction for the density perturbations as observed by COBE can be obtained
without any fine tunning. The bulk inflaton then decays preferentially into
brane Higgses and reheating follows.
