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Hierarchical Distribution of Ascending Slopes, Nearly Neutral Networks, Highlands, and Local Optima at the d-th order in an NK Fitness Landscape
https://sucra.repo.nii.ac.jp/records/13348
https://sucra.repo.nii.ac.jp/records/13348d6bb26ab-522f-4f14-bce0-42cfb3c76ad7
名前 / ファイル | ライセンス | アクション |
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A1002792.pdf (324.4 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 | Hierarchical Distribution of Ascending Slopes, Nearly Neutral Networks, Highlands, and Local Optima at the d-th order in an NK Fitness Landscape | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | fitness landscape | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | sequence space | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | adaptive walk | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | NK model | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | in vitro evolution | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | evolvability | |||||
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 |
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著者 ローマ字 | ||||||
Aita, Takuyo | ||||||
著者 所属 | ||||||
埼玉大学大学院理工学研究科 | ||||||
著者 所属(別言語) | ||||||
Graduate School of Science and Engineering, Saitama University | ||||||
書誌情報 |
JOURNAL OF THEORETICAL BIOLOGY 巻 254, 号 2, p. 252-263, 発行日 2008 |
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年月次 | ||||||
2008-9 | ||||||
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/j.jtbi.2008.06.002 | |||||
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 obtained several structural features of an NK fitness landscape by analytical approach. Particularly, we focused on spatial distributions of "ascending slopes", "highlands", "nearly neutral networks", and "local optima" along the fitness coordinate W, from the viewpoint of adaptive walks with step-width d, where d is the number of mutated sites (Hamming distance) after a generation. The parameter k governs the degree of the ruggedness on the NK landscape, and we handled cases where k is moderate against the sequence length. From the foot LIP to the middle region on the landscape, many ascending slopes exist (high evolvability) and these slopes extend up near the "highland", which is mathematically defined as the specific region W = W-d* where the expectation of the fitness increment becomes zero. Denoting the standard deviation of the fitness change at W = W-d*; by SD*, we considered the existence of "nearly neutral networks", which percolate in the fitness band between W - SD* and W + SD*. Our results suggest that the highland corresponds to a phase-transition threshold of the formation of the nearly neutral networks. Near or over the highland, "local optima at the dth order" appear drastically (low evolvability), where d means the radius of their basins. The value of W-d* increases with d increasing. Then, as the fitness ( altitude) becomes higher, the basin size of the local optima increases. This leads to a conclusion that it is very hard or impossible for walkers with step-width d to reach near the global peak when d is a realistic large value: d = 1-6, and suggests that the region over the middle in real landscapes may be considerably smooth with small k-values to maintain high evolvability. (C) 2008 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 | ||||||
A1002792 |