Two series of analogues of the novel human mitochondrial thymidine kinase inhibitor 1-[(Z)-4-(triphenylmethoxy)-2-butenyl]thymine were synthesized by replacing the triphenylmethoxy moiety by a variety of substituted amines and carboxamides. In all the cases, the selectivity against the mitochondrial enzyme was either maintained or improved, and several derivatives were almost as potent as the parent compound. A molecular model was built that can account for the observed selectivities.