Green Pixel Line Apple Cinema Display 24"

My Apple Cinema Display 24" has a thin green pixel line going down vertically on my display. The line is green so I know the pixel is stuck, not dead. I am out of warranty and am curious if anyone has any fixes for pixel lines on a cinema display. I have tried rubbing the lcd, unsticking the pixels with various software and tried to reset the display. Is there any other fixes for this that anyone knows of? Thanks