Is it possible to eliminate my depressed spells, or will i just have to deal with them?

I've been getting help for my mental issues (depression, anxiety, mood swings from depressed to manic, and cutting), but I still get these bad depressed spells that seem to be able to last a few weeks or longer and the longer they drag out the more I want to cut. Is it possible to eliminate the, or will I have to learn to deal with them (I've already been on an antidepressant and an anti-psychotic for a few months)