Thickness-radius relationship and spring constants of cholesterol helical ribbons
Using quantitative phase microscopy, we have discovered a quadratic relationship between the radius R and the thickness t of helical ribbons that form spontaneously in multicomponent cholesterol–surfactant mixtures. These helical ribbons may serve as mesoscopic springs to measure or to exert forces...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | en_US |
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United States National Academy of Sciences
2010
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| Online Access: | http://hdl.handle.net/1721.1/55291 https://orcid.org/0000-0002-9490-2771 https://orcid.org/0000-0003-2414-524X https://orcid.org/0000-0001-6684-7608 |
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| author | Benedek, George B. Feld, Michael S. Dasari, Ramachandra Rao Sung, Yongjin Hossain, Najeeb Lomakin, Aleksey Choi, Wonshik Kozlova, Natalia Khaykovich, Boris |
| author2 | Massachusetts Institute of Technology. Center for Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Center for Materials Science and Engineering Benedek, George B. Feld, Michael S. Dasari, Ramachandra Rao Sung, Yongjin Hossain, Najeeb Lomakin, Aleksey Choi, Wonshik Kozlova, Natalia Khaykovich, Boris |
| author_sort | Benedek, George B. |
| collection | MIT |
| description | Using quantitative phase microscopy, we have discovered a quadratic relationship between the radius R and the thickness t of helical ribbons that form spontaneously in multicomponent cholesterol–surfactant mixtures. These helical ribbons may serve as mesoscopic springs to measure or to exert forces on nanoscale biological objects. The spring constants of these helices depend on their submicroscopic thickness. The quadratic relationship (R ∝ t[superscript 2]) between radius and thickness is a consequence of the crystal structure of the ribbons and enables a determination of the spring constant of any of our helices solely in terms of its observable geometrical dimensions. |
| first_indexed | 2024-09-23T11:35:13Z |
| format | Article |
| id | mit-1721.1/55291 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:35:13Z |
| publishDate | 2010 |
| publisher | United States National Academy of Sciences |
| record_format | dspace |
| spelling | mit-1721.1/552912022-10-01T04:35:30Z Thickness-radius relationship and spring constants of cholesterol helical ribbons Benedek, George B. Feld, Michael S. Dasari, Ramachandra Rao Sung, Yongjin Hossain, Najeeb Lomakin, Aleksey Choi, Wonshik Kozlova, Natalia Khaykovich, Boris Massachusetts Institute of Technology. Center for Materials Science and Engineering Massachusetts Institute of Technology. Materials Processing Center Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Spectroscopy Laboratory MIT Nuclear Reactor Laboratory Benedek, George B. Benedek, George B. Feld, Michael S. Dasari, Ramachandra Rao Sung, Yongjin Hossain, Najeeb Lomakin, Aleksey Choi, Wonshik Kozlova, Natalia Khaykovich, Boris Using quantitative phase microscopy, we have discovered a quadratic relationship between the radius R and the thickness t of helical ribbons that form spontaneously in multicomponent cholesterol–surfactant mixtures. These helical ribbons may serve as mesoscopic springs to measure or to exert forces on nanoscale biological objects. The spring constants of these helices depend on their submicroscopic thickness. The quadratic relationship (R ∝ t[superscript 2]) between radius and thickness is a consequence of the crystal structure of the ribbons and enables a determination of the spring constant of any of our helices solely in terms of its observable geometrical dimensions. Hamamatsu Corporation National Science Foundation (Grant DBI-0754339) National Center for Research Resources of the National Institutes of Health (Grant P41-RR02594-18) Department of Energy, Division of Materials Sciences and Engineering, Office of Basic Energy Sciences (Award DE-FG02-04ER46149) 2010-05-26T19:56:28Z 2010-05-26T19:56:28Z 2009-08 2009-07 Article http://purl.org/eprint/type/JournalArticle 1091-6490 0027-8424 http://hdl.handle.net/1721.1/55291 Khaykovich, Boris et al. “Thickness–radius relationship and spring constants of cholesterol helical ribbons.” Proceedings of the National Academy of Sciences 106.37 (2009): 15663-15666. © 2009 National Academy of Sciences https://orcid.org/0000-0002-9490-2771 https://orcid.org/0000-0003-2414-524X https://orcid.org/0000-0001-6684-7608 en_US http://dx.doi.org/10.1073/pnas.0907795106 Proceedings of the National Academy of Sciences of the United States of America Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf United States National Academy of Sciences PNAS |
| spellingShingle | Benedek, George B. Feld, Michael S. Dasari, Ramachandra Rao Sung, Yongjin Hossain, Najeeb Lomakin, Aleksey Choi, Wonshik Kozlova, Natalia Khaykovich, Boris Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title | Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title_full | Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title_fullStr | Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title_full_unstemmed | Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title_short | Thickness-radius relationship and spring constants of cholesterol helical ribbons |
| title_sort | thickness radius relationship and spring constants of cholesterol helical ribbons |
| url | http://hdl.handle.net/1721.1/55291 https://orcid.org/0000-0002-9490-2771 https://orcid.org/0000-0003-2414-524X https://orcid.org/0000-0001-6684-7608 |
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