Ketogenic diets and high energy output needs

Hi there,

I've asked this question before in various flavors but now I have a
refinement, a tangent curiosity. I'm eating a high fat, moderate protein,
super low (Atkins Induction level) carbohydrate diet. I am able to do the
treadmill just fine for my standard 36-42 minutes (depending on the movie
I'm watching ), at 4.3mph (6.9km/hr) and 3 degrees incline. I do this for
mental health benefits and of course the long-term physical effects. One
thing I wish to avoid however is muscle catabolization. I am running a
caloric deficit at the moment, and I've heard it's inescapable that you will
lose muscle in such a scenario. I am 24 years old, in fairly good physical
condition (I think), only very slightly overweight. My
probably wrong and grotesquely-simplified theory is thus: I know glycogen
can provide a very quick release of energy for physical exertion. Can
lipolysis-ketosis come very close? Will it attempt to keep up to the body's
needs of energy by burning more fat, or will it resort to supplementing with
burning protein as well? Will this protein come from dietary sources, or
muscle tissue, or both? Can this effect be ameliorated in a ketogenic diet,
or is it even a problem? Etc.

Thanks folks,

-Chad