[Timothy Terwilliker (OP)]

In detail what would a cancer cell medium contain?

[evan_au]

This site talks about reagents and procedures for propagating immortal cell lines:
https://darchive.mblwhoilibrary.org/bitstream/handle/1912/8720/Cell+Culture+Protocols%2C+HeLa+and+CHO+cells.pdf?sequence=1

But the most important component is a set of cells which can divide indefinitely. the first one discovered was the HeLa cells
https://en.wikipedia.org/wiki/HeLa

But today, there are compounds known which can transform any cell line into an immortal cell line. But they can no longer be used to grow a whole organism.