The honest answer is: it depends on whether the division shares out the damage equally — and in yeast it does not, so a yeast cell really does grow old.
Start by defining what ageing is. Ageing is not the passing of time; it is the accumulation of damage that has not been repaired — damaged proteins, damaged membranes, errors in the DNA. So the question becomes: when a single cell divides, where does that damage go?
| Organism | How division shares the damage | Does it age? |
|---|---|---|
| Amoeba (binary fission) | Roughly equally between two nearly identical daughters | The damage is halved every generation, so it never builds up. In culture with plenty of food, amoeba keeps dividing indefinitely — no ageing is seen |
| Yeast (budding) | Unequally. The mother keeps most of the damaged proteins; the small bud starts clean | Yes. The mother can produce only about 20 – 30 buds and then stops dividing and dies |
| Bacteria such as E. coli | Almost equally, but the daughter that inherits the older end of the cell also inherits more damage | A mild form of ageing — that daughter grows a little more slowly |
So what about the lineage? Here your instinct is right. After an amoeba divides there is no parent left over and no corpse — there are only two amoebae. In that sense the line does not age and could in principle go on for ever. What can age is a particular cell that keeps its damage instead of passing it on.