Algebraic topology-based machine learning using MRI predicts outcomes in primary sclerosing cholangitis [PDF]
European Radiology Experimental, 2022 Background Primary sclerosing cholangitis (PSC) is a chronic cholestatic liver disease that can lead to cirrhosis and hepatic decompensation. However, predicting future outcomes in patients with PSC is challenging.
Yashbir Singh +20 more
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Detecting intermediate protein conformations using algebraic topology [PDF]
BMC Bioinformatics, 2017 Background Understanding protein structure and dynamics is essential for understanding their function. This is a challenging task due to the high complexity of the conformational landscapes of proteins and their rugged energy levels. In particular, it is
Nurit Haspel +2 more
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arXiv.org, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology, including persistent homology.
Robins, Vanessa
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Unveiling the molecular mechanism of SARS-CoV-2 main protease inhibition from 137 crystal structures using algebraic topology and deep learning [PDF]
Chem Sci, 2020 Currently, there is neither effective antiviral drugs nor vaccine for coronavirus disease 2019 (COVID-19) caused by acute respiratory syndrome coronavirus 2 (SARS-CoV-2).
D. Nguyen +4 more
semanticscholar +2 more sources
Representability of algebraic topology for biomolecules in machine learning based scoring and virtual screening [PDF]
PLoS Comput Biol, 2017 This work introduces a number of algebraic topology approaches, including multi-component persistent homology, multi-level persistent homology, and electrostatic persistence for the representation, characterization, and description of small molecules and
Zixuan Cang, Lin Mu, G. Wei
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Algebraic Topology of Multi-Brain Connectivity Networks Reveals Dissimilarity in Functional Patterns during Spoken Communications [PDF]
PLoS One, 2016 Human behaviour in various circumstances mirrors the corresponding brain connectivity patterns, which are suitably represented by functional brain networks.
B. Tadić +3 more
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Application of Algebraic Topology to Homologous Recombination of DNA [PDF]
iScience, 2018 Summary: Brouwer's fixed point theorem, a fundamental theorem in algebraic topology proved more than a hundred years ago, states that given any continuous map from a closed, simply connected set into itself, there is a point that is mapped unto itself ...
Ido Braslavsky, Joel Stavans
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Neural evidence for image quality perception based on algebraic topology. [PDF]
PLoS ONE, 2021 In this paper, the algebraic topological characteristics of brain networks composed of electroencephalogram(EEG) signals induced by different quality images were studied, and on that basis, a neurophysiological image quality assessment approach was ...
Chang Liu +4 more
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Graduate Studies in Mathematics, 2017 This lecture covers several basic methods for standard tasks in data analysis and image processing. A non-exclusive and non-exhaustive list of meth-ods: histograms, dimension reduction, clustering, filters, frequency analysis, morphological methods ...
Claudia Scheimbauer
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Dual attachment pairs in categorically-algebraic topology
Applied General Topology, 2011 The paper is a continuation of our study on developing a new approach to (lattice-valued) topological structures, which relies on category theory and universal algebra, and which is called categorically-algebraic (catalg) topology.
Anna Frascella +2 more
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