I haven't had that kind of issue yet (gunk build up in the firing pin/striker channel). I think I know why but it upsets people.
Though I haven't tried it, I would think that you could get all of the crud out of that firing pin channel with carb or brake cleaner spray.
Safety glasses (you do't what that stuff in your eye, I can assure of that), slide off the frame with barrel/recoil spring/guide out of the slide and using the little red straw piece in the spray nozzle, blow out the crud by spraying into every hole/slot in the slide that feeds into the firing pin/striker channel.
You know, thinking back on it, seems like I did spray (just as part of a more detailed cleaning) like that on either the Glock M31 or one of the M&Ps. I had trouble with light strikes/dead trigger on the M&Ps and did a lot of cleaning/inspecting, so it was probably those.
If you use the carb/brake cleaner, be sure to get oil back on any parts you strip off with the spray cleaner. It will remove all protecting/lubricating oils from whatever it contacts/flows across/through.