Devices, methods, tools, and kits for surgically separating two pressure-sensitive vessels (e.g., arteriole, vein, and/or nerve) at a point of contact or within about 1 mm of the contact. The device includes a biocompatible sheet of material, such as a bridge or separator or external stent. The device is positioned between one or more pressure-sensitive vessels or nerves to alleviate compression with a the tool includes a deployment mechanism and a user interface (e.g., a controller or robot) for inserting the device between the two pressure-sensitive vessels or nerves.
