Mad Titus

It seems to me, in this act, that Titus is driving towards madness. Upon his hearing of his son's deaths, after having been forced to cut his own hand off (a brilliant gesture, on Aarons part), Titus' laughter seems to come from nowhere. i can nearly see the the transition from weeping over the bodies of his sons, leading into a maniacal laughter. What follows is a, for lack of a better term, creepy ritual involving various body parts and his cronies circling around him. I was also confused by his lines to Lavinia aboutputting a hole in her chest that Marcus seems to become so incensed to. Is Titus going mad? It would make sense, considering everything that's happened. Personally, I hope so, it's going to make the next two acts that much more interesting.
I think Lavinia is shaping up to be one of the most interesting characters in this play. Her inability to speak and lack of hands to gesticualte just make her one of the most fun things to try to visualize. The question I've been trying to answer: is she actually miming what Titus translates for her? Or is he simply making things up from the deeper recesses of his passions? I like to think that her inability to comunicate renders her somethign of a mess, perhaps trying to stop her father, to explain exactly what happened to her. Instead, he creates grand poetic responses to what she is trying to tell him. That's simply my interpretation of things.