[Update! Check out 39 Essex St barrister Neil Allen's guide to 'Restriction on liberty or deprivation of liberty', which he's kindly said I can post here]
I have made a map to help you find your way through the labyrinth of Court of Protection and Court of Appeal rulings on the meaning of deprivation of liberty. Actually, you'll probably just find yourself going around in circles - take a piece of string, and watch out for Minotaurs! Enjoy - and let me know if you spot any mistakes. All the hyperlinks should link to the judgments, and the cases in bold are unlawful detentions. You can download a pdf copy from here, or a powerpoint slide here.
(I know. I need to get a life.)