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For example, when referencing the model we presented in the paper,

The presented model is helpful to many other related researches.

or

The model presented is helpful to many other related researches.

If it is proposed, I think both is OK, and proposed model might be slightly better in academic writing? What about presented?

I also see sentences like

The model presented in this section gives a brief introduction on the use of the COMSOL ECRE Version.

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  • I think both are fine, though "the model presented" is probably (slightly) more idiomatic. You might even be able to drop presented altogether, especially if you're not talking about models that you didn't present.
    – Lawrence
    Jun 11 '17 at 13:38
  • "Related researches" is also not quite on target.
    – Xanne
    Jun 11 '17 at 19:38
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"The presented model" - There's only one model, which is presented

"The model presented" - There are several models, and you're talking about the one that is presented

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  • I don't think that split is fully justified. You could even swap the descriptions depending on the context.
    – Lawrence
    Jun 11 '17 at 13:32

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