Study participants will be provided with all food in the diet intervention. The amount and source of fat, protein and carbohydrates in the two diets are strictly defined; LCHF: Maximum 25 g carbohydrates/day (approximately 5 E%), 20 E% protein and 75 E% fat (35 E% saturated fat). NNR2012: 50 E% carbohydrates, 20 E% protein and 30 E% fat (10 E% saturated fat).