Many people with epilepsy and migraines have discovered different food triggers. In my case Aspartame was the leading trigger. Anyone who has seizures should seek out and eliminate potential triggers to see if it helps. I suppose a high carb diet could be a trigger for someone... I didn't have a high carb diet... but I know eliminating aspartame helped me.
I am still amazed how Donald Rumsfeld was able to influence its approval by the FDA.
Some to get you started:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2898565/
http://www.epilepsy.com/learn/treating-seizures-and-epilepsy...
http://www.mayoclinic.org/medical-professionals/clinical-upd...
[Edit] - The ketogenic diet is interesting. And I can see how some would want to substitute sugar for an artificial sweetener to help achieve a low carb diet. But given Aspartame is a known trigger for many types of seizures, it should be introduced carefully.
- http://en.wikipedia.org/wiki/Ketogenic_diet
- http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2898565/
- http://www.drperlmutter.com/study/dietary-treatment-adults-r...
I wasn't attempting to disprove or contribute to his claims. Just to point out an interesting intersection of diet and seizures.
It's the avoiding carbs part that means they look to eat something sweet that isn't a carb. They don't prescribe aspartame; they just say don't leave ketosis.