I used to work with a women who had migraines and often missed work. she went on a low carb diet to loose weight for some surgery she wanted and while she was on the diet she remarked to me that she had not had a single migraine while on the low carb diet. sadly being migraine free was not incentive enough for her to stay on the diet, she had her surgery and went back to eating excess levels of carbs again and her migraines resumed.
this anecdotal story is consistent with Dr Wolfgang Lutz's theory on the etiology of migraines, that the onset usually coincides with puberty, that they last until the male sufferers are very old, or the females (not taking HRT) enter menopause. His cure for migraines is to limit your daily intake of carbs to 72g/day net of fiber. read it in his book "Life without Bread". Lutz is unlike most of the popular writers of diet books, he actually used it in is medical practice on many patients before he wrote his book (first in German, later in English) and he also has a few publications in the medical literature.
just remember you can do the low carb thing but you can also need to have one day off of it a week or your body will plateau. watch out if you are on medications that control blood pressure as you can experience dangerously low blood pressure just 2-3 days into the diet. you also have to watch out for constipation, which if you get it, generally subsides when your weight stablizes (due to the arachiodonic acid found in the fat of almost all animals that eat diets rich in grains such as humans, cattle and pigs and to a certain extent chicken. if you have chronic constipation already you may want to modify your diet to avoid red meat, pork and the dark meat of chicken.
if you have a hard time believing that any diet can affect you so profoundly then you weren't raised on a farm, in the wild chickens usually lay one or two batches of eggs per year, but if you amp up their calories their egg production goes way way up, these extra calories have a huge effect on the reproductive cycles of the chickens.
just thought this might be helpful to someone,