Get has a lot of uses in English. It's the Causative/Inchoative form
of both be and have. That is, it can represent either come to be (= become) or come to have when it's inchoative -- Inchoatives are intransitive and refer to change of state -- or it can represent either cause to be or cause to have when it's causative -- Causatives are transitive and refer to causing change.
- Stative: He was tired/sick/here/mad/arrested/writing.
- Inchoative He got tired/sick/here/mad/arrested/writing.
- Causative He got me tired/sick/here/mad/arrested/writing.
Consequently, get can be used in most constructions and idioms that involve either be or have. And there are an awful lot of them.
As far as its usage in scientific papers is concerned, I agree with Karthik that this depends entirely on the traditions of the research community. Nobody should attempt to write (let alone publish) scientific research in any field without having read many, many papers in the same field, and by that time, they should be aware of the traditional writing styles and conventions in their field.
Oh, and most of the examples provided in the OQ are not participles, by the way.