Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival

By Monica Nicolau, Arnold J. Levine, Gunnar E. Carlsson. Proceedings of the National Academy of Sciences of the United States of America, 2011

604 citations recorded by the source corpus.

Subfields: Molecular Biology

View Paper: https://www.semanticscholar.org/paper/38f07c61ebe84a6a105f5453559f581809e8bbfa

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In Molecular Biology

Citations in the corpus

Statistical Analysis of Persistence Intensity Functions (2015, methodology): “TDA has been applied various fields such as pattern recognition [8], computer vision [15], and biology [23, 22].”
Statistical topological data analysis using persistence landscapes (2012, background): “Notable successes of TDA include the discovery of a subgroup of breast cancers [42], an understanding of the topology of the space of natural images [13] and the topology of orthodontic data [31], and the detection of genes with a periodic proﬁle [25].”
Extracting insights from the shape of complex data using topology (2013, methodology): “We have innovated further on the topological methods 4,5 by implementing the idea of visually comparing shapes across multiple networks in the breast cancer case.”
Two’s company, three (or more) is a simplex (2016, background): “…methods and researchers in a variety of biological disciplines, including the discovery of new genetic markers for breast cancer survival (Nicolau et al, 2011), measurement of structure and stability of biomolecules (Gameiro et al, 2013; Xia et al, 2015), new frameworks for understanding…”
Homological scaffolds of brain functional networks (2014, background): “It has been used in very diverse fields, ranging from biology [38,39] and sensor network coverage [40] to cosmology [41].”
Graph Representation Learning in Biomedicine and Healthcare (2021, neutral): “Approaches that rely solely on gene expression data typically transform the co-expression matrix into a more topologically meaningful form 131–133 .”