Given a category $\mathcal{C}$, by a category over $\mathcal{C}$, I mean a category $\mathcal{D}$ along with a functor $\pi_{\mathcal{D}}:\mathcal{D}\rightarrow \mathcal{C}$. 

Consider the category $Cat/C$, of categories over $\mathcal{C}$. I am assuming the familiarity with the notion of a fibered category over $\mathcal{C}$ (if not, please see Definition 3.5 of Angelo Vistoli's [Notes on Grothendieck topologies,fibered categoriesand descent theory][1]).


Question is the following:

 - Is there a (interesting/non-trivial) model structure on $Cat/\mathcal{C}$, in which fibered categories are fibrations?

Or, are the terms "fibered category" and "fibrations" just two unrelated terms that sound same?

  [1]: http://homepage.sns.it/vistoli/descent.pdf