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Hi not really sure what you are asking but yes! it not only associates with cancer, a lot other disease too! Actually eating fat can let you get to a lot of cancer. So for example you went to this hamburger contest and you ate like 10 hambugers in 10 mintutes (impressing huh) anyways, so all that fat will get into your blood stream and form a fat thing called plaque in everyones body there is and this the thing that cases high colestral, so if your blood has too much fat or oil. then your whole body will change. I mean maybe you'll get breast cancer cuz you never where the fat is going to go, you might get brain cancer, since the blood contains so much fat that the body doesn't need it. Hope this helps!
indirectly, because the things you eat can "manipulate" transcription, and microRNA can join to some promoters that modify transcription ans translation