  Survival models capture the relationship between an accumulating hazard and
the occurrence of a singular event stimulated by that accumulation. When the
model for the hazard is sufficiently flexible survival models can accommodate a
wide range of behaviors. If the hazard model is less flexible, for example when
it is constrained by an external physical process, then the resulting survival
model can be much too rigid. In this paper I introduce a modified survival
model that generalizes the relationship between accumulating hazard and event
occurrence with particular emphasis on capturing thresholding behavior. Finally
I demonstrate the utility of this approach on a physiological application.
