Mitochondria and the Prevention of Death
H_Fisher writes "Research into mitochondria — small structures within a cell that have their own DNA — suggests that they may be a cause of cellular death, according to Newsweek. The article The Science of Death: Reviving the Dead reports on people who have recovered from sudden death due to cardiac arrest through the use of medically induced hypothermia. The cooling process may help stop the death of brain and heart cells initiated by the mitochondria once they are deprived of oxygen. The article goes on to probe delicately at the question of where a person's personality 'is' between death and later revival, and describes several ongoing scientific studies of near-death experiences."
Cancer is immortal because the tumor cells have lost their chromosomal integrity; some of them are missing parts of chromosome arms that have the genes for triggering apoptosis. Part of an arm of chromosome 3 in particular seems to confer certain superpowers of cancer on cells that lose it; without it the cells can't recognize intercellular signals, but in general these genes do not aid cancer cells in their competition with one another. So as the population starts to evolve as a gene pool of individuals with distinct genotypes (variations on your original) that compete with each other to dominate the tumor, the cells that survive are the ones that lose the ability to control themselves for the greater good of the entire population (i.e. you).
If taken care of, cancer cell populations can easily be kept alive for decades. HeLa cells were first cultured from a cervical tumor in a patient named Henrietta Lacks. There must be tons of HeLa cells in labs all over the world; all together they probably weigh hundreds of times as much as Henrietta ever did.