Neural Systems & Circuits welcomes pure theory papers, and we are happy to have all the math - no matter what the level of sophistication - in the main text. However, you should keep in mind that this journal has a broad readership.

Therefore you should include a section immediately following the Introduction, which explains your results in a way that is accessible to a person who knows some math, but is not a practicing theorist. It should contain an explanation of your results that is as jargon free as possible, including what it has to do with how the brain works and how it fits into existing theoretical frameworks. Figures and examples should be used liberally, and equations are fine - and often necessary. However, equations should be thoroughly explained, and you should use familiar ones - in the Editors' experience, a reasonable fraction of the field is familiar with equations describing single neurons and synapses, and they know a smattering of linear algebra and some probability theory. When explaining your work, there is always an accuracy/clarity tradeoff. Our advice is to go with clarity; the equations that appear later in the text should take care of the accuracy.

This is a hard section to write, and we strongly suggest that you run it by a colleague who is not a theorist. For a journal like this, however, we believe it is a necessary section. And, ultimately, it should give your work a much broader audience - and appreciation.