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Thermodynamical Interpretation of an Adaptive Walk on a Mt. Fuji-type Fitness Landscape: Einstein Relation-like Formula Holds in a Stochastic Evolution
https://sucra.repo.nii.ac.jp/records/13347
https://sucra.repo.nii.ac.jp/records/13347d2e45eec-f2dd-49af-bc72-48876ee59313
名前 / ファイル | ライセンス | アクション |
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A1002791.pdf (252.3 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-10-21 | |||||
タイトル | ||||||
タイトル | Thermodynamical Interpretation of an Adaptive Walk on a Mt. Fuji-type Fitness Landscape: Einstein Relation-like Formula Holds in a Stochastic Evolution | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | free fitness | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | fluctuation-dissipation theorem | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | information | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | molecular evolution | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | sequence space | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
相田, 拓洋
× 相田, 拓洋× 伏見, 譲 |
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著者 ローマ字 | ||||||
Aita, Takuyo | ||||||
著者 ローマ字 | ||||||
HUSIMI, Yuzuru | ||||||
著者 所属 | ||||||
産業技術総合研究所生命情報科学研究センター(現 : 埼玉大学大学院理工学研究科) | ||||||
著者 所属 | ||||||
埼玉大学工学部機能材料工学科 | ||||||
著者 所属(別言語) | ||||||
Computational Biology Research Center, National Institute of Advanced Industrial Science and Technology(Present : Graduate School of Science and Engineering, Saitama University) | ||||||
著者 所属(別言語) | ||||||
Department of Functional Materials Science, Saitama University | ||||||
書誌情報 |
JOURNAL OF THEORETICAL BIOLOGY 巻 225, 号 2, p. 215-228, 発行日 2003 |
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年月次 | ||||||
2003-11 | ||||||
出版者名 | ||||||
出版者 | ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00225193 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/S0022-5193(03)00240-6 | |||||
関連サイト | ||||||
内容記述タイプ | Other | |||||
内容記述 | http://www.sciencedirect.com/science/journal/00225193 | http://www.sciencedirect.com/science/journal/00225193 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We have theoretically studied the statistical properties of adaptive walks (or hill-climbing) on a Mt. Fuji-type fitness landscape in the multi-dimensional sequence space through mathematical analysis and computer simulation. The adaptive walk is characterized by the "mutation distance" d as the step-width of the walker and the "population size" N as the number of randomly generated d-fold point mutants to be screened. In addition to the fitness W, we introduced the following quantities analogous to thermodynamical concepts: "free fitness" G(W) drop W + T x S(W), where T is the "evolutionary temperature" T proportional to rootd/lnN and S(W) is the entropy as a function of W, and the "evolutionary force" X drop d(G(W)/T)/dW, that is caused by the mutation and selection pressure. It is known that a single adaptive walker rapidly climbs on the fitness landscape up to the stationary state where a "mutation-selection-random drift balance" is kept. In our interpretation, the walker tends to the maximal free fitness state, driven by the evolutionary force X. Our major findings are as follows: First, near the stationary point W*, the "climbing rate" J as the expected fitness change per generation is described by J approximate to L x X with L approximate to V/2, where V is the variance of fitness distribution on a local landscape. This simple relationship is analogous to the well-known Einstein relation in Brownian motion. Second, the "biological information gain" (DeltaG/T) through adaptive walk can be described by combining the Shannon's information gain (DeltaS) and the "fitness information gain" (DeltaW/T). (C) 2003 Elsevier Ltd. All rights reserved. | |||||
版 | ||||||
[著者版] | ||||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | text | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
作成日 | ||||||
日付 | 2008-10-20 | |||||
日付タイプ | Created | |||||
アイテムID | ||||||
A1002791 |