"microphone" qualifies "amplifier", meaning that it's an amplifier designed for processing signal coming from a microphone.
The title is a word play summarizing the fact that the author used such an amp to record biological signals. In context, it doesn't means or even imply that he uses a microphone.
Edit: word play, not pun; Edit2: +s; 3: better still.
They. Yes, if you're not familiar with it, it looks like the plural form, but it has been used to denote individuals even before "political correctness" became a thing.