POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains
Abstract We study Eigen’s model of quasi-species (Eigen in Selforganization of matter and the evolution of biological macromolecules. Naturwissenschaften 58(10):465, 1971), characterized by sequences that replicate with a specified fitness and mutate independently at single sites. The...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer US
2021
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| Online Access: | https://hdl.handle.net/1721.1/131970 |
| _version_ | 1826203334416007168 |
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| author | Shivam, Saumya Baldwin, Christopher L. Barton, John Kardar, Mehran Sondhi, S. L. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Shivam, Saumya Baldwin, Christopher L. Barton, John Kardar, Mehran Sondhi, S. L. |
| author_sort | Shivam, Saumya |
| collection | MIT |
| description | Abstract
We study Eigen’s model of quasi-species (Eigen in Selforganization of matter and the evolution of biological macromolecules. Naturwissenschaften 58(10):465, 1971), characterized by sequences that replicate with a specified fitness and mutate independently at single sites. The evolution of the population vector in time is then closely related to that of quantum spins in imaginary time. We employ multiple perspectives and tools from interacting quantum systems to examine growth and collapse of realistic viral populations, specifically considering excessive mutations in certain HIV proteins. All approaches used, including the simplest perturbation theory, give consistent results. |
| first_indexed | 2024-09-23T12:35:20Z |
| format | Article |
| id | mit-1721.1/131970 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:35:20Z |
| publishDate | 2021 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1319702023-02-17T15:48:52Z POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains Shivam, Saumya Baldwin, Christopher L. Barton, John Kardar, Mehran Sondhi, S. L. Massachusetts Institute of Technology. Department of Physics Abstract We study Eigen’s model of quasi-species (Eigen in Selforganization of matter and the evolution of biological macromolecules. Naturwissenschaften 58(10):465, 1971), characterized by sequences that replicate with a specified fitness and mutate independently at single sites. The evolution of the population vector in time is then closely related to that of quantum spins in imaginary time. We employ multiple perspectives and tools from interacting quantum systems to examine growth and collapse of realistic viral populations, specifically considering excessive mutations in certain HIV proteins. All approaches used, including the simplest perturbation theory, give consistent results. 2021-09-20T17:41:10Z 2021-09-20T17:41:10Z 2021-02-10 2021-03-03T04:34:55Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131970 Journal of Statistical Physics. 2021 Feb 10;182(2):38 en https://doi.org/10.1007/s10955-021-02716-2 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature application/pdf Springer US Springer US |
| spellingShingle | Shivam, Saumya Baldwin, Christopher L. Barton, John Kardar, Mehran Sondhi, S. L. POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title | POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title_full | POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title_fullStr | POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title_full_unstemmed | POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title_short | POSSIBLE DUPLICATE: Studying Viral Populations with Tools from Quantum Spin Chains |
| title_sort | possible duplicate studying viral populations with tools from quantum spin chains |
| url | https://hdl.handle.net/1721.1/131970 |
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