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首页> 外文期刊>Bulletin of Mathematical Biology >Thermodynamical interpretation of evolutionary dynamics on a fitness landscape in a evolution reactor, I
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Thermodynamical interpretation of evolutionary dynamics on a fitness landscape in a evolution reactor, I

机译：进化反应堆中适应态景观上进化动力学的热力学解释，I

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摘要

A theory for describing evolution as adaptive walks by a finite population with M walkers (M ≥ 1) on an anisotropic Mt. Fuji-type fitness landscape is presented, from a thermodynamical point of view. Introducing the ‘free fitness’ as the sum of a fitness term and an entropy term and ‘evolutionary force’ as the gradient of free fitness on a fitness coordinate, we demonstrate that the behavior of these theoretical walkers is almost consistent with the thermodynamical schemes. The major conclusions are as follows: (1) an adaptive walk (=evolution) is driven by an evolutionary force in the direction in which free fitness increases; (2) the expectation of the climbing rate obeys an equation analogous to the Einstein relation in Brownian motion; (3) the standard deviation of the climbing rate is a quantity analogous to the mean thermal energy of a particle, kT (×constant). In addition, on the interpretation that the walkers climb the landscape by absorbing ‘fitness information’ from the surroundings, we succeeded in quantifying the fitness information and formulating a macroscopic scheme from an informational point of view.
机译：一种将演化描述为Mt上M个步行者（M≥1）的有限种群的自适应步行进化的理论。从热力学角度介绍了富士式健身景观。引入“自由适应度”作为适应度项和熵项之和，“进化力”作为自由适应度在适应度坐标上的梯度，我们证明了这些理论步行者的行为几乎与热力学方案一致。主要结论如下：（1）自适应步行（=进化）由自由适应性增加方向上的进化力驱动； （2）爬升率的期望服从类似于布朗运动中的爱因斯坦关系的方程式； （3）爬升率的标准偏差是类似于粒子的平均热能kT（×常数）的量。此外，基于步行者通过吸收周围环境中的“健身信息”来爬山的解释，我们成功地从信息的角度量化了健身信息并制定了宏观方案。

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  • 来源
    《Bulletin of Mathematical Biology》 |2004年第5期|1371-1403|共33页
  • 作者

    Takuyo Aita; Shunichi Morinaga; Yuzuru Husimi;

  • 作者单位

    Computational Biology Research Center National Institute of Advanced Industrial Science and Technology;

    Department of Functional Materials Science Saitama University;

    Department of Functional Materials Science Saitama University;

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