Yes there are many non-animal methods approved and used today. Animals are replaced, either by methods that don’t involve animals at all or by those that use only the cells or tissues of animals. Many replacement alternatives involve these in vitro (“in glass”) techniques, where the studies are done with cells or tissues in culture. Other alternatives include silico methods replicating animals’ reactions through a computer program.
These methods are very useful for studies on particular types of tissue and help considerably to limit the number of animals used. However they are still not able to simulate an entire organism with all its cells, tissues and systems working together.