Studying Viral Populations with Tools from Quantum Spin Chains

Saumya Shivam; Christopher L. Baldwin; John Barton; Mehran Kardar; S. L. Sondhi

doi:10.1007/s10955-021-02716-2

Studying Viral Populations with Tools from Quantum Spin Chains

Saumya Shivam, Christopher L. Baldwin, John Barton, Mehran Kardar, S. L. Sondhi

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	38
Journal	Journal of Statistical Physics
Volume	182
Issue number	2
DOIs	https://doi.org/10.1007/s10955-021-02716-2
State	Published - Feb 2021

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Biological evolution
HIV
Quantum spin chains

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10.1007/s10955-021-02716-2

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abstract = "We study Eigen{\textquoteright}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.",

keywords = "Biological evolution, HIV, Quantum spin chains",

author = "Saumya Shivam and Baldwin, {Christopher L.} and John Barton and Mehran Kardar and Sondhi, {S. L.}",

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AU - Shivam, Saumya

AU - Baldwin, Christopher L.

AU - Barton, John

AU - Kardar, Mehran

AU - Sondhi, S. L.

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

KW - Biological evolution

KW - HIV

KW - Quantum spin chains

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ER -

Studying Viral Populations with Tools from Quantum Spin Chains

Abstract

All Science Journal Classification (ASJC) codes

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