When it comes to scanning, one should distinguish between noise and grain. Scanner noise is electronic generated from the sensor, sometimes visible in the very dark areas of the image, whereas the grain one sees all over the photo is clumps of minute chemical particles and dyes in the film. Noise reduction applications that we use in digital imaging from digital cameras are designed for dealing with sensor noise, not film grain. It so happens, however, that they can mitigate film grain, always at some sacrifice of image detail. The trick is to optimize settings between the reduction of apparent "grain" and the reduction of detail. As well, some applications may perform better than others in making this distinction. I have written several relevant articles on this website. Two you may find useful to consult are
http://www.luminous-landscape.com/tutorials/ndq.shtml and
http://www.luminous-landscape.com/reviews/software/topaz.shtml.