fitnforty - I don't believe everything that I read in the papers. As quoted in Wikipedia:
"Around 2000, Atkins started to develop a heart condition, cardiomyopathy, which he claimed was unrelated to his diet. On April 18, 2002, Atkins suffered a cardiac arrest.
On April 8, 2003, Atkins slipped on ice and fell in front of his medical office in New York City and sustained major head injuries that put him in a coma. News of this quickly turned into rumors that Atkins had a heart attack while he was on his own diet. He never recovered from his injuries, and subsequently died on April 17 of kidney failure."
Head injuries don't tend to cause kidney failure - malnutrition and not eating properly can lead to kidney failure. And the fact that he wasn't eating carbs meant that he produced ketones which could in fact lead to his death from kidney failure. Glucose doesn't tend to cause ketones unless he wasn't producing insulin to convert the glucose into energy.
The reason I know this is that I have suffered from ketones regularly due to having unstable diabetes through my teens which was the result of an eating disorder.
As long as people eat a low-fat, high fibre, high complex carbohydrate diet then they should be able to sustain a healthy diet.
And I agree with madmouse - a low GI diet makes more sense where the type or style of food you eat affects how it is absorbed by your body. The best book to explain this is the Glucose Revolution.