  A density dependent, effective nucleon-nucleon force of the Skyrme type is
derived from the quark-meson coupling model -- a self-consistent, relativistic
quark level description of nuclear matter. This new formulation requires no
assumption that the mean scalar field is small and hence constitutes a
significant advance over earlier work. The similarity of the effective
interaction to the widely used SkM$^*$ force encourages us to apply it to a
wide range of nuclear problems, beginning with the binding energies and charge
distributions of doubly magic nuclei. Finding acceptable results in this
conventional arena, we apply the same effective interaction, within the
Hartree-Fock-Bogoliubov approach, to the properties of nuclei far from
stability. The resulting two neutron drip lines and shell quenching are quite
satisfactory. Finally, we apply the relativistic formulation to the properties
of dense nuclear matter in anticipation of future application to the properties
of neutron stars.
