# April 17 Colloquium

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Alex Small, **Cal State Panoma**

Host: Raghu Parthasarathy

*Theoretical Limits to Superresolution Fluorescence Microscopy*

Superresolution microscopy techniques enable fluorescence imaging of biological specimens with sub-wavelength resolution, down to as low as 10 nanometers in some cases. Interestingly, in essentially all techniques considered thus far, the resolution scales as the wavelength of light divided by the square root of some measure of the number of photons used. We have developed a proof that the relationship between image resolution and measures of photon count has a universal 1/sqrt(photon count) scaling for very wide classes of superresolution techniques. Additionally, we have developed a theoretical framework for benchmarking the performance of the algorithms used to analyze the images, and have developed fast image analysis algorithms and mathematical approaches for optimizing image acquisition.