Persistent Topology of Protein Space

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Persistent Topology of Protein Space. / Hamilton, W.; Borgert, J. E.; Hamelryck, T.; Marron, J. S.

Research in Computational Topology 2. Springer, 2022. p. 223-244 (Association for Women in Mathematics Series, Vol. 30).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Hamilton, W, Borgert, JE, Hamelryck, T & Marron, JS 2022, Persistent Topology of Protein Space. in Research in Computational Topology 2. Springer, Association for Women in Mathematics Series, vol. 30, pp. 223-244. https://doi.org/10.1007/978-3-030-95519-9_10

APA

Hamilton, W., Borgert, J. E., Hamelryck, T., & Marron, J. S. (2022). Persistent Topology of Protein Space. In Research in Computational Topology 2 (pp. 223-244). Springer. Association for Women in Mathematics Series Vol. 30 https://doi.org/10.1007/978-3-030-95519-9_10

Vancouver

Hamilton W, Borgert JE, Hamelryck T, Marron JS. Persistent Topology of Protein Space. In Research in Computational Topology 2. Springer. 2022. p. 223-244. (Association for Women in Mathematics Series, Vol. 30). https://doi.org/10.1007/978-3-030-95519-9_10

Author

Hamilton, W. ; Borgert, J. E. ; Hamelryck, T. ; Marron, J. S. / Persistent Topology of Protein Space. Research in Computational Topology 2. Springer, 2022. pp. 223-244 (Association for Women in Mathematics Series, Vol. 30).

Bibtex

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title = "Persistent Topology of Protein Space",
abstract = "Protein fold classification is a classic problem in structural biology and bioinformatics. We approach this problem using persistent homology. In particular, we use alpha shape filtrations to compare a topological representation of the data with a different representation that makes use of knot-theoretic ideas. We use the statistical method of Angle-based Joint and Individual Variation Explained (AJIVE) to understand similarities and differences between these representations.",
author = "W. Hamilton and Borgert, {J. E.} and T. Hamelryck and Marron, {J. S.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s) and the Association for Women in Mathematics.",
year = "2022",
doi = "10.1007/978-3-030-95519-9_10",
language = "English",
isbn = "978-3-030-95518-2",
series = "Association for Women in Mathematics Series",
publisher = "Springer",
pages = "223--244",
booktitle = "Research in Computational Topology 2",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Persistent Topology of Protein Space

AU - Hamilton, W.

AU - Borgert, J. E.

AU - Hamelryck, T.

AU - Marron, J. S.

N1 - Publisher Copyright: © 2022, The Author(s) and the Association for Women in Mathematics.

PY - 2022

Y1 - 2022

N2 - Protein fold classification is a classic problem in structural biology and bioinformatics. We approach this problem using persistent homology. In particular, we use alpha shape filtrations to compare a topological representation of the data with a different representation that makes use of knot-theoretic ideas. We use the statistical method of Angle-based Joint and Individual Variation Explained (AJIVE) to understand similarities and differences between these representations.

AB - Protein fold classification is a classic problem in structural biology and bioinformatics. We approach this problem using persistent homology. In particular, we use alpha shape filtrations to compare a topological representation of the data with a different representation that makes use of knot-theoretic ideas. We use the statistical method of Angle-based Joint and Individual Variation Explained (AJIVE) to understand similarities and differences between these representations.

UR - http://www.scopus.com/inward/record.url?scp=85130525097&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-95519-9_10

DO - 10.1007/978-3-030-95519-9_10

M3 - Book chapter

AN - SCOPUS:85130525097

SN - 978-3-030-95518-2

T3 - Association for Women in Mathematics Series

SP - 223

EP - 244

BT - Research in Computational Topology 2

PB - Springer

ER -

ID: 309122829