  We explore in more detail the modified quark meson coupling (MQMC) model in
nuclear matter. Based on previous studies two different functional forms for
the density dependence of the bag constant are discussed. For uniform matter
distributions the MQMC model can be cast in a form identical to QHD by a
redefinition of the sigma meson field. It is then clear that modifications
similar to those introduced in QHD will permit the reproduction of all nuclear
matter properties including the compressibility. After calibrating the model
parameters at equilibrium nuclear matter density, the model and parameter
dependence of the resulting equation of state is examined. Nucleon properties
and scaling relations between the bag constant and the effective nucleon mass
are discussed.
