Classify phrases as biomedical or non-biomedical Words like myotonic are biomedical, but words like new appear in regular English texts. I can imagine a few ways to classify words into biomedical and non-biomedical. Has this problem been tackled before? Does anybody know any ready-to-use solutions for this problem?
Yes. There has been work going on in the healthcare domain which involves NLP.

Resources like Pubmed have been put together for the exact same purpose. 

You can make use of the freely available Pubmed vectors for training your models like maybe a sentence tagging style model for identification. We(my team at work) use them for identification of medical terms like diseases, medicines, etc.