RM ANOVA and other methods

I have a study design question I was having trouble with.
I have 2 groups (placebo & case) and 3 timepoints.
I could use 1 2-way Repeated Measures ANOVA to analyse the data, but
the timepoints would (surely) simply be treated as 3 groups, rather
than 3 ordinal points.
Is there a method that will do this for me?
(And if there isn't, how would I interpret a result that went up and
then back down again when I'm expecting a dose response?)