Actually as far as I know we can’t cure mice of cancer - by cancer I mean natural cancers that mice get as they age just like human cancers. I have looked through the literature in great detail and I can’t find a single recent paper where anyone has even tried curing mice of cancer. If anyone know of one I would love to read it.
The way we go about trying to cure cancer is insane. We basically take inbred mice, inject them with a cancer cell line to give them cancer, and then treat them with experimental drug X. This process is nothing like how real human cancers arise. On top of this we only test new drugs in people that have failed all other treatments and have very high tumour burdens. We then demand that the new drug have a significant effect in these patients despite us needing drugs that work in newly diagnosed patients. If we get a drug that works it is more by chance than design.