Studying Viral Populations with Tools from Quantum Spin Chains

被引：0

作者：

Shivam, Saumya ^{[1
]}

Baldwin, Christopher L. ^{[2
,3
]}

Barton, John ^{[4
]}

Kardar, Mehran ^{[5
]}

Sondhi, S. L. ^{[1
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] NIST, Gaithersburg, MD 20899 USA

[3] Univ Maryland, Joint Quantum Inst, College Pk, MD 20742 USA

[4] Univ Calif Riverside, Dept Phys & Astron, Riverside, CA 92521 USA

[5] MIT, Dept Phys, Cambridge, MA 02139 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2021年 / 182卷 / 02期

关键词：

Biological evolution; Quantum spin chains; HIV; FITNESS LANDSCAPE; MODEL; HIV-1; TRANSITION; MUTATIONS; INFERENCE; EPISTASIS; MECHANICS; SELECTION;

D O I：

10.1007/s10955-021-02716-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：12

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