  The conditions in the Galactic Center are often compared with those in
starburst systems, which contain higher supernova rates, stronger magnetic
fields, more intense radiation fields, and larger amounts of dense molecular
gas than in our own Galactic disk. Interactions between such an augmented
interstellar medium and cosmic rays result in brighter radio and gamma-ray
emission. Here, we test how well the comparisons between the Galactic Center
and starburst galaxies hold by applying a model for cosmic ray interactions to
the Galactic Center to predict the resulting gamma-ray emission. The model only
partially explains the observed gamma-ray and radio emission. The model for the
gamma-ray spectrum agrees with the data at TeV energies but not at GeV
energies. Additionally, as the fits of the model to the radio and gamma-ray
spectra require significant differences in the optimal wind speed and magnetic
field strength, we find that the single-zone model alone cannot account for the
observed emission from the Galactic Center. Our model is improved by including
a soft, additional cosmic-ray population. We assess such a cosmic ray
population and its potential sources and find that a cosmic-ray electron
spectrum is energetically favored over a cosmic-ray proton spectrum.
