Abstract
The mitochondrial theory of ageing proposes that an accumulation of defective mitochondria is a major contributor to the cellular deterioration that underlies the ageing process. The plausibility of the mitochondrial theory depends critically upon the population dynamics of intact and mutant mitochondria in different cell types. Earlier work suggested that mutant mitochondria might have a replication advantage but failed to account for the fact that mutants accumulate faster in post-mitotic than in dividing cells. We describe a new mathematical model that allows for damaged mitochondria to replicate more slowly, which accommodates experimental evidence of impaired energy generation and a reduced proton gradient in defective mitochondria. However, this is compensated for by a slower degradation rate of damaged mitochondria than intact ones, as suggested by de Grey (1997), which gives damaged mitochondria a selective advantage and leads to a clonal expansion of damaged mitochondria. This theoretical result is important because it agrees with evidence that, during ageing, single muscle fibres are taken over by one or only a few types of mtDNA mutants. The model also shows that cell division can rejuvenate and stabilize the mitochondrial population, consistent with data that post-mitotic tissues accumulate mitochondrial damage faster than mitotically active tissues.