Studying Viral Populations with Tools from Quantum Spin Chains
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Author(s)
Shivam, Saumya
Baldwin, Christopher L
Barton, John
Kardar, Mehran
Sondhi, S. L
Date Issued
February 10, 2021
Publisher
Springer US
Citation
Journal of Statistical Physics. 2021 Feb 10;182(2):38
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10955-021-02716-2
