Yes, I know of people that have fasted and continued to take anti-depressants.
If you are taking medication, you should not stop taking it while on the fast unless you have worked it out with your doctor. See your doctor before doing anything like that. I have known people to continue to take prozac, effexor, and wellbutrine (sp?) while on the fast and get the results they were looking for at the same time.
Also, kindly know that while on the fast, people often become depressed as a result of the detox process. That is just something to be aware of, and if you are already prone to Depression and stop taking your meds and do the fast, you could really hit rock bottom. Good luck.