Effects of topological constraints on globular polymers
Topological constraints can affect both equilibrium and dynamic properties of polymer systems and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects of topological constraints on the equilibrium state of a single compact polymer have not been systematic...
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| Format: | Article |
| Language: | en_US |
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Royal Society of Chemistry
2016
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| Online Access: | http://hdl.handle.net/1721.1/103064 https://orcid.org/0000-0002-0785-5410 https://orcid.org/0000-0002-5320-2728 |
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| author | Imakaev, Maksim Viktorovich Tchourine, Konstantin M. Nechaev, Sergei K. Mirny, Leonid A |
| author2 | Massachusetts Institute of Technology. Institute for Medical Engineering & Science |
| author_facet | Massachusetts Institute of Technology. Institute for Medical Engineering & Science Imakaev, Maksim Viktorovich Tchourine, Konstantin M. Nechaev, Sergei K. Mirny, Leonid A |
| author_sort | Imakaev, Maksim Viktorovich |
| collection | MIT |
| description | Topological constraints can affect both equilibrium and dynamic properties of polymer systems and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects of topological constraints on the equilibrium state of a single compact polymer have not been systematically studied. Here we use simulations to address this longstanding problem. We find that sufficiently long unknotted polymers differ from knotted ones in the spatial and topological states of their subchains. The unknotted globule has subchains that are mostly unknotted and form asymptotically compact RG(s) ∼ s1/3 crumples. However, crumples display a high fractal dimension of the surface db = 2.8, forming excessive contacts and interpenetrating each other. We conclude that this topologically constrained equilibrium state resembles a conjectured crumpled globule [Grosberg et al., Journal de Physique, 1988, 49, 2095], but differs from its idealized hierarchy of self-similar, isolated and compact crumples. |
| first_indexed | 2024-09-23T08:04:15Z |
| format | Article |
| id | mit-1721.1/103064 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:04:15Z |
| publishDate | 2016 |
| publisher | Royal Society of Chemistry |
| record_format | dspace |
| spelling | mit-1721.1/1030642022-09-30T07:17:12Z Effects of topological constraints on globular polymers Imakaev, Maksim Viktorovich Tchourine, Konstantin M. Nechaev, Sergei K. Mirny, Leonid A Massachusetts Institute of Technology. Institute for Medical Engineering & Science Massachusetts Institute of Technology. Department of Physics Imakaev, Maksim Viktorovich Mirny, Leonid A. Topological constraints can affect both equilibrium and dynamic properties of polymer systems and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects of topological constraints on the equilibrium state of a single compact polymer have not been systematically studied. Here we use simulations to address this longstanding problem. We find that sufficiently long unknotted polymers differ from knotted ones in the spatial and topological states of their subchains. The unknotted globule has subchains that are mostly unknotted and form asymptotically compact RG(s) ∼ s1/3 crumples. However, crumples display a high fractal dimension of the surface db = 2.8, forming excessive contacts and interpenetrating each other. We conclude that this topologically constrained equilibrium state resembles a conjectured crumpled globule [Grosberg et al., Journal de Physique, 1988, 49, 2095], but differs from its idealized hierarchy of self-similar, isolated and compact crumples. MIT-France Seed Fund National Cancer Institute (U.S.). Physical Sciences-Oncology Center (MIT, (U54CA143874)) National Research University Higher School of Economics (Program for Basic Research) 2016-06-08T19:28:43Z 2016-06-08T19:28:43Z 2015-01 2014-09 Article http://purl.org/eprint/type/JournalArticle 1744-683X 1744-6848 http://hdl.handle.net/1721.1/103064 Imakaev, Maxim V., Konstantin M. Tchourine, Sergei K. Nechaev, and Leonid A. Mirny. “Effects of Topological Constraints on Globular Polymers.” Soft Matter 11, no. 4 (2015): 665–671. https://orcid.org/0000-0002-0785-5410 https://orcid.org/0000-0002-5320-2728 en_US http://dx.doi.org/10.1039/c4sm02099e Soft Matter Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Royal Society of Chemistry arXiv |
| spellingShingle | Imakaev, Maksim Viktorovich Tchourine, Konstantin M. Nechaev, Sergei K. Mirny, Leonid A Effects of topological constraints on globular polymers |
| title | Effects of topological constraints on globular polymers |
| title_full | Effects of topological constraints on globular polymers |
| title_fullStr | Effects of topological constraints on globular polymers |
| title_full_unstemmed | Effects of topological constraints on globular polymers |
| title_short | Effects of topological constraints on globular polymers |
| title_sort | effects of topological constraints on globular polymers |
| url | http://hdl.handle.net/1721.1/103064 https://orcid.org/0000-0002-0785-5410 https://orcid.org/0000-0002-5320-2728 |
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