Benzodiazepine compounds, and methods for using those compounds are provided. Some of the benzodiazepine compounds include 1,4-benzodiazepine-2-one and 1,4-benzodiazepine-2,5-dione compounds of the following structures: wherein R1, R2, R3 and R4 are as defined. The invention also includes enantiomers, pharmaceutically acceptable salts, prodrugs or derivatives of the benzodiazepine compounds. Any one or more of these benzodiazepine compounds can be used to treat a variety of dysregulatory disorders related to cellular death. Such disorders include autoimmune disorders, inflammatory conditions, hyperproliferative conditions, viral infections, and atherosclerosis. In addition, the above compounds can be used to prepare medicaments to treat the above-described dysregulatory disorders. The benzodiazepines can also be used in drug screening assays and other diagnostic methods.