The construction of viable Saccharomyces cerevisiae strains that lack the anaphase promoting complex (APC) was recently reported. The normally lethal deletions of APC genes were suppressed by the double deletion of the PDS1 and CLB5 genes in conjunction with the insertion of multiple copies of the SIC1 gene controlled by its endogenous promoter. It was proposed that cyclic expression and degradation of Sic1 results in oscillations of Clb/CDK activity necessary for the cell cycle. We have used an updated version of a mathematical model of the yeast cell cycle to model strains that lack the APC. With a few modifications, the model accurately simulates the viability of Apc- strains, as well as the phenotypes of 27 other previously characterized strains. We discuss a few minor inconsistencies between the model and experiment, and how these may inform future revisions to the model.