Pathwise thermodynamic structure in population dynamics

被引：16

作者：

Sughiyama, Yuki ^{[1
]}

Kobayashi, Tetsuya J. ^{[2
]}

Tsumura, Koji ^{[3
]}

Aihara, Kazuyuki ^{[2
]}

机构：

[1] Univ Tokyo, Sch Arts & Sci, Dept Basic Sci, Meguro Ku, Tokyo 1538902, Japan

[2] Univ Tokyo, Inst Ind Sci, Meguro Ku, Tokyo 1538505, Japan

[3] Univ Tokyo, Dept Informat Phys & Comp, Bunkyo Ku, Tokyo 1138656, Japan

来源：

PHYSICAL REVIEW E | 2015年 / 91卷 / 03期

关键词：

SELECTION; ANCESTRY; MUTATION;

D O I：

10.1103/PhysRevE.91.032120

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We reveal thermodynamic structure in population dynamics with phenotype switching. Mean fitness for a population of organisms is determined by a thermodynamic variational principle described by the large deviation of phenotype-switching dynamics. Owing to this variational principle, a response relation of the mean fitness with respect to changes of environments and phenotype-switching dynamics is represented as a thermodynamic differential form. Furthermore, we discuss the strength of the selection by using the difference between time-forward and time-backward (retrospective) processes.

引用

页数：9

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