We combine the Penna Model for biological ageing, which is based on the mut
ation-accumulation theory, with a sort of antagonistic pleiotropy. We show
that depending on how the pleiotropy is introduced, it is possible to repro
duce both the humans mortality, which increases exponentially with age, and
fruitfly mortality, which decelerates at old ages, allowing the appearance
of arbitrarily old Methuselah's. (C) 2001 Elsevier Science B.V, All rights
reserved.