laboratory mice, nutrition, and humans
Whether using quantitative models, or "animal models", I think this is a useful quote to keep in mind:


  A model is a lie that helps you see the truth.
  
  -- Howard Skipper


As for evidence that using mice models for human nutrition is justified -- I believe there has been a good deal of research that has provided useful insight on the influence of genetics on the susceptibility to diabetes in humans using mouse models, so ... yes?