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I'm currently writing claims on a method of generating an audio file based on a mathematical model.  Should I not use the word "model" as in: "a step for generating a continuous digital audio signal whose frequency is proportional to a velocity model of an xyz"? Or, should I mention the actual mathematical expression in the claim?

[JimIvey]

I've done quite a bit of work in that area.  There's nothing special about the word, "model", except that it has a "soft" definition.  You'd do well to define that word in your spec, and to define it well.  I try to write all my applications in very simple "nuts & bolts" terms -- data is retrieved from here, modified in this way using that data stored over there, and stored in this place as modified.  If you describe your velocity model that way, it should be fine.  Describing in such basic terms helps claiming in more basic terms which in turn helps satisfy 101.

It's really easy to mess up an application in that technology vis-a-vis Section 101.  So, it's important to have your arguments for passing muster under 101 well laid-out and well-founded in your specification.  Like 112 issues of enablement and best mode, some 101 problems are not fixable after filing.

Regards.