Think of the 50's cross section as a "U" and the 55's as a "V". Yes, these aren't the exact shapes, but it's the only way that I was quickly able to describe the differances.
Turn in - Which shape looks like it would fall over easier, "U" or "V" ? I'd say "V" The easier the tire will fall over, the easier the bike can turn in.
Holding the line in the curve - If you were to take these "U" & "V" shapes and rotate them over onto their sides like when you're leaned over in a curve, the "V" will have a slightly larger contact patch than the "U".
Well, that's how I "think" it works, but I'm sure that there will be others to chime in here that may have a better understanding than I.
But the only way for you to truly understand is to put a 55 on your bike.