I actually believe starvation and caloric deficiency has more correlation with inflammation. When you introduce foreign sustenance (food) into your body, it has to spend resources to work through it, absorb it and expel waste. The higher the caloric count the more work it has to do and usually more inflammation from working through it instead of working on recovery.

What studies (HMS,Johnhopkins) have shown is exercise (blood flow vital to removing waste and in result inflammation) and sleep (recovery) is equally as if not more important than diet.

These focus points are the same in fighting age related diseases: Alzheimers and sleeplessness.