When a person's glucose and glycogen stores are depleted, which can occur due to fasting or due to a diet consisting largely of fat (like eskimo diets), the body produces its energy by breaking down triglycerides into fatty acids. Fatty acids can be then converted to Acetyl-CoA, which can consequently enter the citric acid cycle, generating ATP.*
Now normally when a cell does not receive sufficient oxygen to undergo its natural processes, it usually breaks down glucose anaerobically to generate ATP and lactic acid. However, in the case where the body is running off fatty acids (e.g. fast, or fat/protein only diet), how does the body respond to such anaerobic situations?
*(Note: In this situation many fatty acids are first taken up into the liver and converted to ketone bodies, which are subsequently converted to Acetyl-CoA after being taken up in the required tissues, hence causing "ketosis" as in the title)