Is it accepted to refer to your own published result by your own name? Assume that Jane Doe has published a paper in 2010 where she has developed a model or a theorem or a similar result, let’s say, that it relates to growth.

Now assume that Jane Doe is writing another paper in 2015, where she refers to the model/theorem from her paper in 2010.

Is it acceptable for Jane to write something like the following?


  Doe’s growth model (2010), implies that ...
  Doe’s growth theorem (2010) implies that ...
  The Doe growth model (2010) implies ...
This is, unfortunately, a case where English grammar can be tricky and exactly how you phrase things is going to matter.

It is often seen a presumptuous to name something after yourself: "Newton's Laws" and "Hawking radiation" and "Rayleigh scattering" are retrospective judgements of significance by the community.  Claiming a similar name is an assertion in advance that your work will be at a similar level of significance.  

The problem, then, is that if you say "Doe's growth model", it is ambiguous whether that is intended to be a construction like "Hawking radiation" or whether it just means "the growth model that happens to have been developed by Doe."

This potential problem can be avoided by rephrasing to avoid the parallel construction: "the growth model by Doe et al (2010)", or better yet, "the growth model presented in (Doe, 2010)."  The point here is that the significant item under discussion is the growth model, not Doe, and the sentence should be phrased to make that as clear as possible.

Finally, note that these sorts of phrasings can work both for double blind review and for review where the authors' identities are known: even when the identity of the author is known, the important thing should be the relationship between the work, not the fraction of authors that are shared between two papers (unless you are specifically trying to talk about independent co-discovery).