In this study, computer simulation is used to show that despite synerg
istic epistasis for fitness, Muller's ratchet can lead to lethal fitne
ss loss in a population of asexuals through the accumulation of delete
rious mutations. This result contradicts previous work that indicated
that epistasis will halt the ratchet. The present results show that ep
istasis will not hale the ratchet provided that rather than a single d
eleterious mutation effect, there is a distribution of deleterious mut
ation effects with sufficient density near zero. In addition to epista
sis and mutation distribution, the ability of Muller's ratchet to lead
to the extinction of an asexual population under epistasis for fitnes
s depends strongly on the expected number of offspring that survive to
reproductive age. This strong dependence is not present in the nonepi
static model and suggests that interpreting the population growth para
meter as fecundity is inadequate. Because a continuous distribution of
mutation effects is used in this model, an emphasis is placed on the
dynamics of the mutation effect distribution rather than on the dynami
cs of the number of least mutation loaded individuals. This perspectiv
e suggests that current models of gene interaction are too simple to a
pply directly to long-term prediction for populations undergoing the r
atchet.