I can only comment on may own experience, but it was stressed to me by my doctor to maintain a lean high protein/low carb diet.....This will send your body into ketosis and it will start burning fat stored around the liver. So I was put on a diet of 60 protein/less than 30 carbs a day/ less than 700 cals a day.
He recommended 2 protein shakes and a lean cusine to keep it simple. It took 4 days before my body hit ketosis then I started losing a pond a day for the next 10 days!! It was amazing to see the scale change like that!!
So it may be worth considering.