I think the gram is right about Atkins and it's definitely not even mentioned in the SBD AFAIK. I never quite understood how it's applied in Atkins (of course it's right there available for googling). My understanding (this goes way back) is that as fat is burned in one's system, crystals called ketones form. The lymphatic system attempts to remove these ketones by draining them through the kidneys. An elevated state of ketones in the kidneys is one definition of ketosis (potentially dangerous if not flushed out with water I believe). The ketosis referred to in the Atkins diet *must* be something else, but I have not delved into it. Also, my description above is as I remember having read it and as I understand it, but it may be wrong.
"I will work in my own way, according to the light that is in me." - Lydia Maria Child