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Single Cell 3D Genome Reconstruction in the Haploid Setting Using Rigidity Theory

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EMGW02 - Applied and computational algebraic geometry

We study the problem of 3D genome reconstruction from contact count matrices for single cell data, and the uniqueness of such reconstructions in the setting of haploid organisms. We consider multiple models as representations of this problem, and use techniques from graph rigidity theory to determine uniqueness. Finally, we compare the 3D reconstructions for different models using semidefinite programming. The talk is based on joint work with Sean Dewar, Georg Grasegger, Fatemeh Mohammadi and Anthony Nixon.

This talk is part of the Isaac Newton Institute Seminar Series series.

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