My 2 yr old Bichon has become obsessed with food...?

she eats her good in about 10 seconds. then runs to my other dogs bowl. I have had to crate my other dog so that he can eat and then let him out. She will try to go into the trash, dig under anything for maybe one piece of dog food that may have escaped. the other day when i was giving her a treat, she was so antsy about getting the treat she bit my finger. Before she would just eat her food when she please, not its like she internally countdowns to when I am going to feed her again. Is this a sign of something, should I become concerned. I really cant take the food agression and she gets pretty scared ad erractic.