I am and have been on a similar diet. Suzanne Somers "Somsersize". It differs from Atkins in that you are allowed to eat fruit, and carbs...........ONLY 100% whole wheats, no sugars added. Her formula is in HOW you eat it. (combinations)If you have a carb meal, you may have veggies with it, no fats/proteins..........wait 3-4 hours, then you can eat fats/proteins. Fruit is eaten on an empty stomach, so good for snacks.
I have been eating this way for more than a year now, about 1 1/2 years, and have lost 55 lbs, and kept it off.
This has become a way of life for me.........though I have one day a week that I do not limit or watch what I eat now. Rarely, on that day, do I eat much differently, but it is noce to have that "free" day to indulge my sweet tooth. My cravings for carbs is next to nil, as far as carbs from flour.........now the sweets, on the other hand, are what made me finally take one free day.
Suzannes has three very good books out. The last one, with the forward, and help of a doctor, Diana Schwarbein, M.D., is 'Eat, Cheat, and Melt the Fat Away'.
She has some wonderful recipes also.
If you are interested in more info, her website is www.suzannesomers.com