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It is well know that in (1-)category theory, one can describe the set of natural transformations between two functors by an end formula. I would like to know whether some similar description is available for modifications between two pseudonatural transformations. More precisely:

Let $\mathcal{C}$ and $\mathcal{D}$ be (small) bicategories, $F,G:\mathcal{C}\rightarrow \mathcal{D}$ be pseudofunctors and $a,b:F\Rightarrow G$ be two pseudonatural transformations.

Is there a way to describe the set of modifications from $a$ to $b$ using some end formula?

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