Persistent diagrams for protein structure prediction

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This paper theoretically describes how persistent homology, using a persistent diagram as an algebraic invariant, can analyze protein structures by applying it to point cloud data from PDB IDs 2JOX and 1COS.

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The preprint studies a theoretical/topological framework for protein structure prediction using persistent homology, focusing on how an input filtration matrix can be described via persistent diagrams as an algebraic invariant. It investigates point-cloud data derived from PDB structures 2JOX and 1COS, using persistent diagrams as the resulting topological representation. A major limitation explicitly stated is that the work is a preprint that has not been peer reviewed. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Topological approaches for protein structure analysis often comes with an input matrix describing the suitable filtration of our data and helping to choose adequate statistical tests to come up with a final shape by using an algebraic invariant, which is in our case a persistent diagram, we will be giving a theoretical description of this matrix through persistent homology, by investigating the data consisting of a point cloud generated from the PDB Ids 2JOX and 1COS. [AMS classification]55N31, 62R40
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[AMS classification]55N31, 62R40 Point cloud Persistent homology persistent diagram PDB IDs. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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