Sorry for coming down harsh but I don't understand how to interpret any of the individual curves, since it looks like they are five points on five different axis with a curve fit through them. What's the significance?
Few parallel coordinates applications take advantage of the fact that you can show lines in orthogonal coordinates as points in parallel coordinates though. It's one of the few effective ways of representing hyperplanes and hyperlines. Interpreting that is tricky though. Even people who "get" traditional parallel coordinates would have a tough time at first.
Think of it as a multidimensional scatterplot, where lines are a necessary concession to map N-space to 2-space.