Possible Clues:

• Modern low-carb diet
• Kind of high-fat diet used as an epilepsy therapy
• Certain high-fat, low-carb diet, informally
• Diet high in fat
• Diet that's high in fats and low in carbs, as illustrated by parts of the answers to the starred clues
• Kind of high-fat, low-carb diet
• Regimen with so-called 'fat bombs'
• Low-carb food regimen
• Like a very low-carb diet
• High-fat diet, casually