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2006 Fiscal Year Final Research Report Summary

Pattern Matching Methods for Structured Data in Bioinformatics

Research Project

Project/Area Number 16300092
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Bioinformatics/Life informatics
Research InstitutionKyoto University

Principal Investigator

AKUTSU Tatsuya  Kyoto University, Institute for Chemical Research, Professor (90261859)

Co-Investigator(Kenkyū-buntansha) MIYANO Satoru  The University of Tokyo, The Institute of Medical Science, Professor (50128104)
MARUYAMA Osamu  Kyusyu University, Faculty of Mathematics, Associate Professor (20282519)
UEDA Nobuhisa  Kyoto University, 化学研究所, Assistant Professor (80346048)
HAYASHIDA Morihiro  Kyoto University, 化学研究所, Assistant Professor (40402929)
Project Period (FY) 2004 – 2006
Keywordssequence alignment / triangle inequality / edit distance / Euler string / kernel method / support vector machine / chemical structure / subcellular location prediction
Research Abstract

Main results are summarized as below
1. Sequence Analysis : In order to speed up accurate homology math based on kcal alignment (Smith-Waterman algorithm), we discovered an inequality among three sequences, which is similar to the triangle inequality, and utilized it to skip redundant comparisons.
2. Pattern Matching of Graphs We focused on pattern matching for tree structures. In order to compute approximate tree edit distance efficiently, we developed novel algorithms, in which each input tree is transformed into an Euler string and then edit distance between the transformed sequences is computed. We analyzed the worst case approximation ratio of the proposed algorithms. Besides, in order to apply tree matching to a practical problem, we developed a Smith-Waterman like algorithm for comparison of glycan structures. The algorithm was implemented in the web server named KCaM.
3. Kernel Methods for Classification of Protein Sequences and Chemical Compounds: We developed a new feature vector for representing protein sequences. It was combined with support vectors machines (SVMs) and was implemented in a web server for prediction of subcellular location of protein sequences. Among various existing methods for subcellular location prediction, the proposed method achieved the highest prediction as under the condition that prediction is made only from protein sequences Besides, in order to improve the efficiency of marginalized graph kernels, which can be applied to classification of chemical compounds, we combined marginalized graph kernels with Morgan indices, by which significant speedup was achieved.
4. Inference of Pre-Image for Chemical Compounds : We analyzed computational complexity of the pro-image problem for graphs, which is to infer the original graph structure from a given feature vector. We also developed a practical branch-and-bound algorithm for inferring the original chemical structures from given feature vectors based on frequency of labeled paths.

  • Research Products

    (64 results)

All 2007 2006 2005 2004

All Journal Article (40 results) (of which Peer Reviewed: 20 results) Presentation (22 results) Book (2 results)

  • [Journal Article] Inferring a chemical structure from a feature vector based on frequency of labeled paths and small fragments2007

    • Author(s)
      T. Akutsu, D. Fukagawa
    • Journal Title

      Proc. 5th Asia-Pacific Bioinformatics Conference(APBC 2007)

      Pages: 165-174

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A novel clustering method for analysis of biological networks using maximal components of graphs2007

    • Author(s)
      M. Hayashida, T. Akutsu, H. Nagamochi
    • Journal Title

      Proc. 5th Asia-Pacific Bioinformatics Conference(APBC 2007)

      Pages: 257-266

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] On the complexity of deriving position specific score matrices from positive and negative sequences2007

    • Author(s)
      T. Akutsu, H. Bannai, S. Miyano, S. Ott
    • Journal Title

      Discrete Applied Mathematics 155

      Pages: 676-685

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Inferring a chemical structure from a feature vector based on frequency of labeled paths and small fragments2007

    • Author(s)
      T., Akutsu, D., Fukagawa
    • Journal Title

      Proc. 5th Asia-Pacific Bioinformatics Conference (APBC 2007)

      Pages: 165-174

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A novel clustering method for analysis of biological networks using maximal components of graphs2007

    • Author(s)
      M., Hayashida, T., Akutsu, H., Nagamochi
    • Journal Title

      Proc. 5th Asia-Pacific Bioinformatics Conference (APBC 2007)

      Pages: 257-266

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On the complexity of deriving position specific score matrices from positive and negative sequences2007

    • Author(s)
      T., Akutsu, H., Bannai, S., Miyano, S., Ott
    • Journal Title

      Discrete Applied Mathematics 155

      Pages: 676-685

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Optimizing amino acid substitution matrices with a local alignment kernel2006

    • Author(s)
      H. Saigo, J-P. Vert, T. Akutsu
    • Journal Title

      BMG Bioinformatics 7

      Pages: 246

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A relation between edit distance for ordered trees and edit distance for Euler strings2006

    • Author(s)
      T. Akutsu
    • Journal Title

      Information Processing Letters 100

      Pages: 105-109

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Fast algorithms for comparison of similar unordered trees2006

    • Author(s)
      D. Fukagawa, T. Akutsu
    • Journal Title

      International Journal of Foundations of Computer Science 17

      Pages: 703-729

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Algorithms for point set matching with k-differences2006

    • Author(s)
      T. Akutsu
    • Journal Title

      International Journal of Foundations of Computer Science 17

      Pages: 903-917

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Approximating tree edit distance through string edit distance2006

    • Author(s)
      T. Akutsu, D. Fukagawa, A. Takasu
    • Journal Title

      Proc. 17th International Symposium on Algorithms and Computation(ISAAC 2006), Lecture Notes in Computer Science 4288

      Pages: 90-99

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A weighted profile based method for protein-RNA interacting residue prediction2006

    • Author(s)
      E. Jeong, S. Miyano
    • Journal Title

      Transactions on Computational Systems Biology IV

      Pages: 123-139

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Optimizing amino acid substitution matrices with a local alignment kernel2006

    • Author(s)
      H., Saigo, J-P., Vert, T., Akutsu
    • Journal Title

      BMC Bioinformatics 7

      Pages: 246

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A relation between edit distance for ordered trees and edit distance for Euler strings2006

    • Author(s)
      T., Akutsu
    • Journal Title

      Information Processing Letters 100

      Pages: 105-109

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Fast algorithms for comparison of similar unordered trees2006

    • Author(s)
      D., Fukagawa, T., Akutsu
    • Journal Title

      International Journal of Foundations of Computer Science 17

      Pages: 703-729

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Algorithms for point set matching with k-differences2006

    • Author(s)
      T., Akutsu
    • Journal Title

      International Journal of Foundations of Computer Science 17

      Pages: 903-917

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Approximating tree edit distance through string edit distance2006

    • Author(s)
      T., Akutsu, D., Fukagawa, A., Takasu
    • Journal Title

      Proc. 17th International Symposium on Algorithms and Computation (ISAAC 2006), Lecture Notes in Computer Science 4288

      Pages: 90-99

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A weighted profile based method for protein-RNA interacting residue prediction2006

    • Author(s)
      E., Jeong, S., Miyano
    • Journal Title

      Transactions on Computational Systems Biology 5

      Pages: 123-139

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Inferring a graph from path frequency2005

    • Author(s)
      T. Akutsu, D. Fukagawa
    • Journal Title

      Proc. 16th Annual Symposium on Combinatorial Pattern Matching(CPM 2005), Lecture Notes in Computer Science 3537

      Pages: 371-382

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Fast and accurate database homology search using upper bounds of local alignment scores2005

    • Author(s)
      M. Itoh, S. Goto, T. Akutsu, M. Kanehisa
    • Journal Title

      Bioinformatics 21

      Pages: 912-921

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Graph kernels for molecular structure-activity relationship analysis with support vector machines2005

    • Author(s)
      P. Mahe, T. Akutsu, J-L. Perret, J-P. Vert
    • Journal Title

      Journal of Chemical Information and Modeling 45

      Pages: 939-951

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A novel representation of protein sequences for prediction of subcellular location using support vector machines2005

    • Author(s)
      S. Matsuda, J-P. Vert, H. Saigo, N. Ueda, H. Toh, T. Akutsu
    • Journal Title

      Protein Science 14

      Pages: 2804-2813

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Reconstructing phylogenetic trees of prokaryote genomes by randomly sampling oligopeptides2005

    • Author(s)
      O. Maruyama, A. Matsuda, S. Kuhara
    • Journal Title

      Proc. 5th International Conference on Computer Science, Lecture Notes in Computer Science 3515

      Pages: 911-918

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Superiority of network motifs over optimal networks and an application to the revelation of gene network evolution2005

    • Author(s)
      S. Ott, A. Hansen, S. Kim, S. Miyano
    • Journal Title

      Bioinformatics 21

      Pages: 227-238

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Inferring a graph from path frequency2005

    • Author(s)
      T., Akutsu, D., Fukagawa
    • Journal Title

      Proc. 16th Annual Symposium on Combinatorial Pattern Matching (CPM 2005), Lecture Notes in Computer Science 3537

      Pages: 371-382

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Fast and accurate database homology search using upper bounds of local alignment scores2005

    • Author(s)
      M., Itoh, S., Goto, T.,Akutsu, M., Kanehisa
    • Journal Title

      Bioinformatics 21

      Pages: 912-921

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Graph kernels for molecular structure-activity relationship analysis with support vector machines2005

    • Author(s)
      P., Mahe, T., Akutsu,J-L., Perret, J-P., Vert
    • Journal Title

      Journal of Chemical Information and Modeling 45

      Pages: 939-951

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A novel representation of protein sequences for prediction of subcellular location using support vector machines2005

    • Author(s)
      S., Matsuda, J-P., Vert, H., Saigo, N., Ueda, H., Toh, T.,Akutsu
    • Journal Title

      Protein Science 14

      Pages: 2804-2813

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Reconstructing phylogenetic trees of prokaryote genomes by randomly sampling oligopeptides2005

    • Author(s)
      O., Maruyama, A., Matsuda, S., Kuhara
    • Journal Title

      Proc. 5th International Conference on Computer Science, Lecture Notes in Computer Science 3515

      Pages: 911-918

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Superiority of network motifs over optimal networks and an application to the revelation of gene network evolution2005

    • Author(s)
      S., Ott, A., Hansen, S., Kim, S., Miyano
    • Journal Title

      Bioinformatics 21

      Pages: 227-238

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] KCaM(KEGG Carbohydrate Matcher):a software tool for analyzing the structures of carbohydrate sugar chains2004

    • Author(s)
      K. F. Aoki, A. Yamaguchi, N. Ueda, T. Akutsu, H. Mamitsuka, S. Goto, M. Kanehisa
    • Journal Title

      Nucleic Acids Research 32

      Pages: w267-w272

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Efficient extraction of mapping rules of atoms from enzymatic reaction data2004

    • Author(s)
      T. Akutsu
    • Journal Title

      Journal of Computational Biology 11

      Pages: 449-462

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Algorithms for point set matching with k-differences2004

    • Author(s)
      T. Akutsu
    • Journal Title

      Proc. 10th Int. Computing and Combinatorics Conference(COCOON 2004), Lecture Notes in Computer Science 3106

      Pages: 249-258

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Fast algorithms for comparison of similar unordered trees2004

    • Author(s)
      D. Fukagawa, T. Akutsu
    • Journal Title

      Proc. 15th Int. Symp. Algorithms and Computation(ISAAC 2004), Lecture Notes in Computer Science 3341

      Pages: 452-463

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Extensions of marginalized graph kernels2004

    • Author(s)
      P. Mahe, N. Ueda, T. Akutsu, J-L. Perret, J-P. Vert
    • Journal Title

      Proc. 21st Int. Conf. Machine Learning(ICML 2004)

      Pages: 552-559

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] KCaM (KEGG Carbohydrate Matcher) : a software tool for analyzing the structures of carbohydrate sugar chains2004

    • Author(s)
      K.F., Aoki, A., Yamaguchi, N., Ueda, T., Akutsu, H., Mamitsuka, S., Goto, M., Kanehisa
    • Journal Title

      Nucleic Acids Research 32

      Pages: 267-272

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Efficient extraction of mapping rules of atoms from enzymatic reaction data2004

    • Author(s)
      T., Akutsu
    • Journal Title

      Journal of Computational Biology 11

      Pages: 449-462

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Algorithms for point set matching with k-differences2004

    • Author(s)
      T., Akutsu
    • Journal Title

      Proc. 10th Int. Computing and Combinatorics Conference (COCOON 2004), Lecture Notes in Computer Science 3106

      Pages: 249-258

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Fast algorithms for comparison of similar unordered trees2004

    • Author(s)
      D., Fukagawa, T.,Akutsu
    • Journal Title

      Proc. 15th IM. Symp. Algorithms and Computation (ISAAC 2004), Lecture Notes in Computer Science 3341

      Pages: 452-463

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Extensions of marginalized graph kernels2004

    • Author(s)
      P., Mahe, N., Ueda, T., Akutsu,J-L., Perret, J-P., Vert
    • Journal Title

      Proc. 21st Int. Conf. Machine Learning (ICML 2004)

      Pages: 552-559

    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 生物配列の局所マルチプルアラインメントの計算困難性2007

    • Author(s)
      阿久津達也, 有村博紀, 下薗真一
    • Organizer
      情報処理学会 第8回バイオ情報学研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-03-05
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] アラインメントとアミノ酸構成比に基づいたサポートベクターマシンによるタンパク質の細胞内局在予測2007

    • Author(s)
      田村武幸, 阿久津達也
    • Organizer
      情報処理学会 第8回バイオ情報学研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-03-05
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Hardness results on local multiple alignment of biological sequences2007

    • Author(s)
      T., Akutsu, H., Arimura, S.,Shimozono
    • Organizer
      IPSJ, Special Interest Group on Bioinformatics
    • Place of Presentation
      Osaka University
    • Year and Date
      2007-03-05
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Subcellular location prediction of proteins using support vector machines with alignment and amino acid composition2007

    • Author(s)
      T., Tamura, T., Akutsu
    • Organizer
      IPSJ, Special Interest Group on Bioinformatics
    • Place of Presentation
      Osaka University
    • Year and Date
      2007-03-05
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 特徴ベクトルに基づく木状の化学分子の列挙アルゴリズム2006

    • Author(s)
      藤原大樹, 趙亮, 永持仁, 阿久津達也
    • Organizer
      情報処理学会 第7回バイオ情報学研究会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2006-12-22
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Enumerating tree-like chemical structures from feature vector2006

    • Author(s)
      H., Fujiwara, Z., Liang, H., Nagamochi, T., Akutsu
    • Organizer
      IPSJ, Special Interest Group on Bioinformatics
    • Place of Presentation
      The University of Electro-Communications
    • Year and Date
      2006-12-22
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 木の編集距離の文字列の編集距離による近似2006

    • Author(s)
      阿久津達也, 深川大路, 高須淳宏
    • Organizer
      電子情報通信学会コンピューテーション研究会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2006-05-24
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Approximating tree edit distance through string edit distance2006

    • Author(s)
      T., Akutsu, D., Fukagawa, A., Takasu
    • Organizer
      IEICE, Technical Group on Computation
    • Place of Presentation
      Kyushu Institute of Technology
    • Year and Date
      2006-05-24
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 局所アラインメントカーネルを用いたアミノ酸置換行列の最適化2006

    • Author(s)
      西郷浩人, J-P. Vert, 阿久津達也
    • Organizer
      情報処理学会 第58回数理モデル化と問題解決研究会
    • Place of Presentation
      兵庫県豊岡市
    • Year and Date
      2006-03-17
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Optimizing amino acid substitution matrices with local alignment kernels2006

    • Author(s)
      H., Saigo, J-P., Vert, T., Akutsu
    • Organizer
      IPSJ, Special Interest Group on Mathematical Modeling and Problem Solving
    • Place of Presentation
      Toyooka, Hyogo
    • Year and Date
      2006-03-17
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Kernel-based approaches to classification and design of protein sequences and chemical compounds2006

    • Author(s)
      T. Akutsu
    • Organizer
      The First Japan-Taiwan Bilateral Symposium on Bioinformatics
    • Place of Presentation
      東京大学
    • Year and Date
      2006-03-13
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Kernel-based approaches to classification and design of protein sequences and chemical compounds2006

    • Author(s)
      T., Akutsu
    • Organizer
      The First Japan-Taiwan Bilateral Symposium on Bioinformatics
    • Place of Presentation
      The University of Tokyo
    • Year and Date
      2006-03-13
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 特徴ベクトルからの化学構造の推定2006

    • Author(s)
      阿久津達也, 深川大路
    • Organizer
      情報処理学会 第4回バイオ情報学研究会
    • Place of Presentation
      北海道大学
    • Year and Date
      2006-02-10
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Inferring a chemical structure from a feature vector based on frequency of labeled paths and small fragments2006

    • Author(s)
      T., Akutsu, D., Fukagawa
    • Organizer
      IPSJ, Special Interest Group on Bioinformatics
    • Place of Presentation
      Hokkaido University
    • Year and Date
      2006-02-10
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Kernel-based approaches to classification and design of protein sequences and chemical compounds2005

    • Author(s)
      T. Akutsu
    • Organizer
      2005 International Joint Conference of InCoB, AASBi and KSBI
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2005-09-22
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Kernel-based approaches to classification and design of protein sequences and chemical compounds2005

    • Author(s)
      T., Akutsu
    • Organizer
      2005 International Joint Conference of InCoB(AASBi and KSBI)
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2005-09-22
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] パス頻度ベクトルからのグラフ推定問題の困難性について2005

    • Author(s)
      阿久津達也, 深川大路
    • Organizer
      電子情報通信学会 コンピューテーション研究会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2005-04-18
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] On the complexity of inferring a graph from path frequency2005

    • Author(s)
      T., Akutsu, D., Fukagawa
    • Organizer
      IEICE, Technical Group on Computation
    • Place of Presentation
      Kwansei Gakuin University
    • Year and Date
      2005-04-18
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 類似度の高い無順序木の比較に対する高速アルゴリズム2004

    • Author(s)
      深川大路, 阿久津達也
    • Organizer
      電子情報通信学会 コンピューテーション研究会
    • Place of Presentation
      北海道大学
    • Year and Date
      2004-09-17
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Fast algorithms for comparison of similar unordered trees2004

    • Author(s)
      D., Fukagawa, T., Akutsu
    • Organizer
      IEICE, Technical Group on Computation
    • Place of Presentation
      Hokkaido University
    • Year and Date
      2004-09-17
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] k個のミスマッチを許した点集合マッチング・アルゴリズム2004

    • Author(s)
      阿久津達也
    • Organizer
      電子情報通信学会 コンピューテーション研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2004-04-22
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Algorithms for point set matching with k-differences2004

    • Author(s)
      T., Akutsu
    • Organizer
      IEICE, Technical Group on Computation
    • Place of Presentation
      Kyoto University
    • Year and Date
      2004-04-22
    • Description
      「研究成果報告書概要(欧文)」より
  • [Book] 共立出版2007

    • Author(s)
      阿久津達也
    • Total Pages
      223
    • Publisher
      バイオインフォマティクスの数理とアルゴリズム
    • Description
      「研究成果報告書概要(和文)」より
  • [Book] 朝倉書店2007

    • Author(s)
      丸山修, 阿久津達也
    • Total Pages
      190
    • Publisher
      バイオインフォマティクス-配列データ解析と構造予測-
    • Description
      「研究成果報告書概要(和文)」より

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Published: 2010-02-04  

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