Final answer:
A tumor at the porta hepatis is most likely to compress the branches of the portal vein, as it is one of the main structures in the hepatic portal system which is found in that area.
Step-by-step explanation:
The student has asked which structure is most likely compressed by a tumor located at the porta hepatis. The porta hepatis is the area of the liver where the hepatic artery, the hepatic portal vein, and the common hepatic duct are situated.
Among the given options, the structures most likely to be compressed by a tumor in this location are the branches of the portal vein, as this is where the portal vein enters the liver, carrying blood from the gastrointestinal tract for processing. The portal vein is a key component of the hepatic portal system, which is essential for transporting nutrients and toxins to the liver from the digestive organs.