We can even “grow” a new heart, liver kidney etc. for humans in lab, based on the protein structures of pigs which are very simular, and compatable with ours.
what is done is all traces of DNA is “washed” from the protein structure of a pigs heart. These simple proteins are like the building blocks of organic life, once stripped, human blood and t-cells are re introduced to the structure, and it eventually grows new human tissue from the information within human t cells in the blood onto this structure.
I’m sure that all mammals share a lot of common DNA.
I think we use pigs for this because they mature quickly and grow human-sized organs. Apes live a lifespan that’s almost the same as humans, so if we were going to grow human heart valves in a monkey, you would die while waiting for your spare part to mature.