Initially, you will not be able to see these side-missions on the mini-map, but after a certain point in the game, a Spider-Tracer upgrade will be unlocked. Purchase this, and you will now see blue people icons on the mini-map. Travel to each, pick up the asylum patient, and take them to the nearest police station. Do this for all of the patients and this trophy will unlock. You can monitor how many you need to find by pressing and checking the far right menu. Unlike the Infected Civilians, most of these are unlocked from the start of the game.