Based on my experience, I’d expect things to deteriorate pretty quickly—maybe you could go as far as ~5–6 µm? A lot would depend on the nature of your sample and your optical setup. E.g. if you were using a lattice light sheet this would be quite different than imaging using HILO or epi-illumination.
There are a couple of other challenges for SMLM + tissue / thick samples to that it can be helpful to keep in mind:
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Spherical aberration, which will become more severe with depth and can be partially accounted for by objective/immersion choice and/or the use of adaptive optics.
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Drift correction can be especially tricky as it can be difficult to place/visualize fiducial markers when working with tissue samples. If your target is abundant across the field of view you can probably get by with redundant cross-correlation but for more sparse targets this approach does not work very well.