Here's all I can do for you:
There's the issue of suicide by doctor. Would this just be an excuse to end one's own life? That factors in the question of what do you define an illness as deathly, and what exact chances they have of surviving and/or time to live. Then there is the issue of who decides. The doctor or the patient? Even that will spur controversy because it is all based on relative judgement. Some people will throw in the towel if they even have minor cancer, but others will hold on until the bitter end. This is especially the case for mothers of young children. Also, what if the said patient is told there is no other way, where there really is. In this case, you can tell the story of Lorenzo's Oil, where Lorenzo faced a deadly disease known as ALD. Everyone claimed it there was no cure, however, Lorenzo's parents discovered a cure and Lorenzo lived to 35. And of course, if all else fails, throw in the religious card (I highly recommend you don't.) It all breaks down to who judges, and can it be judged correctly.
Wikipedia Entry for Lorenzo's Oil
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