PS2 played on an LCD computer monitor...

Hey, quick question:

I recently bought a 22 inch BenQ LCD computer monitor which I play my Xbox360 on, now I was wondering if there was any way that I could hook up my old PS2 to the monitor, is there a PS@ DMI cable floating around out there that I havnt seen yet?

Or is the PS2 too fossilized to support such technology?

Thanks to any who respond.