Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies
Complex hierarchical structures composed of simple nanoscale building blocks form the basis of most biological materials. Here, we demonstrate how analogies between seemingly different fields enable the understanding of general principles by which functional properties in hierarchical systems emerge...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2013
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| Online Access: | http://hdl.handle.net/1721.1/77558 https://orcid.org/0000-0002-4173-9659 https://orcid.org/0000-0002-6601-9199 |
| _version_ | 1811079640020680704 |
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| author | Giesa, Tristan Spivak, David I Buehler, Markus J |
| author2 | Massachusetts Institute of Technology. Center for Computational Engineering |
| author_facet | Massachusetts Institute of Technology. Center for Computational Engineering Giesa, Tristan Spivak, David I Buehler, Markus J |
| author_sort | Giesa, Tristan |
| collection | MIT |
| description | Complex hierarchical structures composed of simple nanoscale building blocks form the basis of most biological materials. Here, we demonstrate how analogies between seemingly different fields enable the understanding of general principles by which functional properties in hierarchical systems emerge, similar to an analogy learning process. Specifically, natural hierarchical materials like spider silk exhibit properties comparable to classical music in terms of their hierarchical structure and function. As a comparative tool, here, we apply hierarchical ontology logs that follow a rigorous mathematical formulation based on category theory to provide an insightful system representation by expressing knowledge in a conceptual map. We explain the process of analogy creation, draw connections at several levels of hierarchy, and identify similar patterns that govern the structure of the hierarchical systems silk and music and discuss the impact of the derived analogy for nanotechnology. |
| first_indexed | 2024-09-23T11:18:14Z |
| format | Article |
| id | mit-1721.1/77558 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:18:14Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/775582022-09-27T18:33:37Z Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies Giesa, Tristan Spivak, David I Buehler, Markus J Massachusetts Institute of Technology. Center for Computational Engineering Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Laboratory for Atomistic and Molecular Mechanics Giesa, Tristan Spivak, David I. Buehler, Markus J. Complex hierarchical structures composed of simple nanoscale building blocks form the basis of most biological materials. Here, we demonstrate how analogies between seemingly different fields enable the understanding of general principles by which functional properties in hierarchical systems emerge, similar to an analogy learning process. Specifically, natural hierarchical materials like spider silk exhibit properties comparable to classical music in terms of their hierarchical structure and function. As a comparative tool, here, we apply hierarchical ontology logs that follow a rigorous mathematical formulation based on category theory to provide an insightful system representation by expressing knowledge in a conceptual map. We explain the process of analogy creation, draw connections at several levels of hierarchy, and identify similar patterns that govern the structure of the hierarchical systems silk and music and discuss the impact of the derived analogy for nanotechnology. United States. Air Force Office of Scientific Research United States. Office of Naval Research (Grant N00014-10-1-0562) Studienstiftung des deutschen Volkes United States. Office of Naval Research (Grant N00014-10-1-0841) 2013-03-05T19:45:10Z 2013-03-05T19:45:10Z 2011-12 Article http://purl.org/eprint/type/JournalArticle 2191-1630 2191-1649 http://hdl.handle.net/1721.1/77558 Giesa, Tristan, David I. Spivak, and Markus J. Buehler. “Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies.” BioNanoScience 1.4 (2011): 153–161. https://orcid.org/0000-0002-4173-9659 https://orcid.org/0000-0002-6601-9199 en_US http://dx.doi.org/10.1007/s12668-011-0022-5 BioNanoScience Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Giesa, Tristan Spivak, David I Buehler, Markus J Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title | Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title_full | Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title_fullStr | Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title_full_unstemmed | Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title_short | Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies |
| title_sort | reoccurring patterns in hierarchical protein materials and music the power of analogies |
| url | http://hdl.handle.net/1721.1/77558 https://orcid.org/0000-0002-4173-9659 https://orcid.org/0000-0002-6601-9199 |
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