2001 Fiscal Year Annual Research Report

ダイナミック・バイオ統計学:モデル化、解析手法開発とその数理

Research Project

Project/Area Number	13308014
Research Institution	Kyushu University
Principal Investigator	柳川堯九州大学, 大学院・数理学研究院, 教授 (80029488)
Co-Investigator(Kenkyū-buntansha)	吉村功東京理科大学, 工学部, 教授 (30010797) 岸野洋久東京大学, 大学院・農学生命科学研究科, 教授 (00141987) 小西貞則九州大学, 大学院・数理学研究院, 教授 (40090550) 田栗正章千葉大学, 理学部, 教授 (10009607) 大瀧慈広島大学, 原爆放射線影響研究所, 教授 (20110463)
Keywords	超過変動 / 観測カオス / 非線形モデリング / 分子進化速度 / 父性解析 / 遺伝毒性試験 / 発がん過程の数理モデル化 / 2次制約付き相関係数最大化問題
Research Abstract	・超過変動が存在するとき、単調増加反応、および非線形反応を高い検出力で検出する検定を開発した. ・観測データがカオス的な強い非線形性を示すとき、埋め込み次元の推定法を以前に開発したが、その一致性を数学的に証明した. ・多層パーセプトロンおよび動径基底関数ネットワークに基づく非線形モデリング手法について研究し,大規模かつ高次のデータ解析に有効な手法を提案した. ・進化速度確率変動モデルを複数遺伝子モデルに拡張し、遺伝子間の共進化を検出する手法を提案した. ・RNAウイルス配列の最適サンプリング計画を検討し、既報の9人の患者からのHIV-1 env遺伝子について、潜伏期間における集団の大きさと進化速度の間に負の相関を認めた. ・非正則な尤度関数を持つQTL解析に遺伝アルゴリズムを導入し、数値的最適化の有効性を示した. ・不完全データの父性解析により有効花粉輸送距離と雄株稔性を同時推定する手法を開発した. ・マウスリンフォーマ試験と細胞転換試験のデータ解析法を開発した. ・細胞の遺伝的不安定仮説に基づき,放射線発がんの数理モデルの構築を行った. ・B-スプライン法に基づくノンパラメトリック平滑化と多項式モデルを用いたパラメトリックな曲線の当てはめについて、AIC型の基準量により評価し、予測誤差の小さいモデルを選出する方法を開発した. ・2次の制約条件付きの相関係数最大化問題について研究を行い、最適解を求めた.

Research Products

(26 results)

All Other

All Publications (26 results)

[Publications] Zhang, Z-Z: "Begun-Reid estimators for multiple hazard rates}{J of Statistical Planning and Inference"J of Statistical Planning and Inference. 29・11. 203-220 (2001)
[Publications] Fueda, K.: "Estimating the embedding dimension and delay time from chaotic time series with dynamic noise"Journal of Japan Statistical Society. 31. 1-7 (2001)
[Publications] Yanagawa, T.: "Statistical issues on the determination of the No-Observed-Adverse-Effect levels in toxicology"Environmetrics. 12. 319-325 (2001)
[Publications] Astuti Tri Erni: "Testing nonlinear trend in proportions under binomial and extra-binomial variabilities"Bulletin of Informatics and Cybernetics. 32. 157-168 (2001)
[Publications] Yonemoto, K.: "Estimating the embedding dimension and delay time of chaotic time series by an autoregressive model"Bulletin of Informatics and Cybernetics. (印刷中). (2002)
[Publications] Kawaguchi, A.: "Estimating correlation dimension in chaotic time series"Bulletin of Informatics and Cybernetics. (印刷中). (2002)
[Publications] Ichikawa, M.: "Efficient bootstrap tests for the goodness of fit in covariance structure analysis"Behaviormetrika. 28. 103-110 (2001)
[Publications] Konishi, S.: "Discussion on the paper "On Model Selection" by C.R.Rao and Y.Wu"In "Model Selection" (Ed. by P.Lahiri), IMS Lecture Notes. 38. 58-60 (2001)
[Publications] 安道知寛: "動径基底関数ネットワークに基づく非線形回帰モデルとその推定"応用統計学. 30. 19-35 (2001)
[Publications] Ichikawa: "Asymptotic expansions and bootstrap approximations in factor analysis"Journal of Multivariate Analysis. (印刷中). (2002)
[Publications] Kishino, H.: "Performance of a divergence time estimation method under a probabilistic model of rate evolution"Molecular Biology and Evolution. 18. 352-361 (2001)
[Publications] Nakamichi, R.: "Resolving of closely linked quantitative trait loci with a genetic algorithm"Genetics. 158. 463-475 (2001)
[Publications] Seo, T.-K.: "A viral sampling design for testing the molecular clock and for estimating evolutionary rates and divergence times"Bioinformatics. 18. 115-123 (2002)
[Publications] Thorne, J.L.: "Divergence time and evolutionary rate estimation with multilocus data"Systematic Biology. (印刷中).
[Publications] Seo, T-K.: "{Estimation of Effective Population Size of HIV--1 within a Host : A Pseudo-Maximum Likelihood Approach"Genetics. (印刷中).
[Publications] 岸野洋久: "分子進化速度のベイズ型階層モデル"統計数理. (印刷中). (2002)
[Publications] Takashi Omori: "A new statistical method for evaluation of L5178Ytk+/-mammalian cell mutation data using microwell method"Mutation research. (印刷中). (2002)
[Publications] 寒水孝司: "「臨床試験のための統計的原則」における交互作用の扱い方についての考察"応用統計学. 30・1. 1-18 (2001)
[Publications] M.Ohtaki: "Mathematical Model for Radiation Carcinogenesis with Induction of Genomic Instability and Cell Death"Radiation Research. 156. 672-677 (2001)
[Publications] K.Satoh: "Bridging the gap between B-spline and polynomial regression model"Communications in Statistics--Simulation and Computation. (印刷中).
[Publications] K.Shiraishi: "Persistent induction of somatic reversions of thepink-eyed unstable mutation in F1 mice born to fathers irradiated at the spermatozona stae"Radiation Research. (印刷中).
[Publications] 佐藤健一: "統計グラフライブラリの開発とWebへの応用"統計数理. 49・2(印刷中). (2002)
[Publications] Hashimoto, A.: "Correlation maximization under linear and quadratic constraints"Bulletin of the International Statistical Institute, 53rd Session. 117-118 (2001)
[Publications] Sakurai, H.: "Bootstrap estimation for the swap-rate by preliminary Selection in university entrance examination"Bulletin of the International Statistical Institute, 53rd Session. 235-236 (2001)
[Publications] Ochi, Y.: "The performance of the computer intensive methods for over-dispersed categorical data"Proceedings of the International Conference on New Trends in Computational Statistics with Biomedical Applications. 305-306 (2001)
[Publications] 垂水共之他: "データによるプログラミングデータ解析言語Sによる新しいプログラミング"森北出版. 461 (2002)

2001 Fiscal Year Annual Research Report

ダイナミック・バイオ統計学:モデル化、解析手法開発とその数理

Principal Investigator

柳川 堯 九州大学, 大学院・数理学研究院, 教授 (80029488)

Research Products

[Publications] Zhang, Z-Z: "Begun-Reid estimators for multiple hazard rates}{J of Statistical Planning and Inference"J of Statistical Planning and Inference. 29・11. 203-220 (2001)

[Publications] Fueda, K.: "Estimating the embedding dimension and delay time from chaotic time series with dynamic noise"Journal of Japan Statistical Society. 31. 1-7 (2001)

[Publications] Yanagawa, T.: "Statistical issues on the determination of the No-Observed-Adverse-Effect levels in toxicology"Environmetrics. 12. 319-325 (2001)

[Publications] Astuti Tri Erni: "Testing nonlinear trend in proportions under binomial and extra-binomial variabilities"Bulletin of Informatics and Cybernetics. 32. 157-168 (2001)

[Publications] Yonemoto, K.: "Estimating the embedding dimension and delay time of chaotic time series by an autoregressive model"Bulletin of Informatics and Cybernetics. (印刷中). (2002)

[Publications] Kawaguchi, A.: "Estimating correlation dimension in chaotic time series"Bulletin of Informatics and Cybernetics. (印刷中). (2002)

[Publications] Ichikawa, M.: "Efficient bootstrap tests for the goodness of fit in covariance structure analysis"Behaviormetrika. 28. 103-110 (2001)

[Publications] Konishi, S.: "Discussion on the paper "On Model Selection" by C.R.Rao and Y.Wu"In "Model Selection" (Ed. by P.Lahiri), IMS Lecture Notes. 38. 58-60 (2001)

[Publications] 安道知寛: "動径基底関数ネットワークに基づく非線形回帰モデルとその推定"応用統計学. 30. 19-35 (2001)

[Publications] Ichikawa: "Asymptotic expansions and bootstrap approximations in factor analysis"Journal of Multivariate Analysis. (印刷中). (2002)

[Publications] Kishino, H.: "Performance of a divergence time estimation method under a probabilistic model of rate evolution"Molecular Biology and Evolution. 18. 352-361 (2001)

[Publications] Nakamichi, R.: "Resolving of closely linked quantitative trait loci with a genetic algorithm"Genetics. 158. 463-475 (2001)

[Publications] Seo, T.-K.: "A viral sampling design for testing the molecular clock and for estimating evolutionary rates and divergence times"Bioinformatics. 18. 115-123 (2002)

[Publications] Thorne, J.L.: "Divergence time and evolutionary rate estimation with multilocus data"Systematic Biology. (印刷中).

[Publications] Seo, T-K.: "{Estimation of Effective Population Size of HIV--1 within a Host : A Pseudo-Maximum Likelihood Approach"Genetics. (印刷中).

[Publications] 岸野洋久: "分子進化速度のベイズ型階層モデル"統計数理. (印刷中). (2002)

[Publications] Takashi Omori: "A new statistical method for evaluation of L5178Ytk+/-mammalian cell mutation data using microwell method"Mutation research. (印刷中). (2002)

[Publications] 寒水孝司: "「臨床試験のための統計的原則」における交互作用の扱い方についての考察"応用統計学. 30・1. 1-18 (2001)

[Publications] M.Ohtaki: "Mathematical Model for Radiation Carcinogenesis with Induction of Genomic Instability and Cell Death"Radiation Research. 156. 672-677 (2001)

[Publications] K.Satoh: "Bridging the gap between B-spline and polynomial regression model"Communications in Statistics--Simulation and Computation. (印刷中).

[Publications] K.Shiraishi: "Persistent induction of somatic reversions of thepink-eyed unstable mutation in F1 mice born to fathers irradiated at the spermatozona stae"Radiation Research. (印刷中).

[Publications] 佐藤健一: "統計グラフライブラリの開発とWebへの応用"統計数理. 49・2(印刷中). (2002)

[Publications] Hashimoto, A.: "Correlation maximization under linear and quadratic constraints"Bulletin of the International Statistical Institute, 53rd Session. 117-118 (2001)

[Publications] Sakurai, H.: "Bootstrap estimation for the swap-rate by preliminary Selection in university entrance examination"Bulletin of the International Statistical Institute, 53rd Session. 235-236 (2001)

[Publications] Ochi, Y.: "The performance of the computer intensive methods for over-dispersed categorical data"Proceedings of the International Conference on New Trends in Computational Statistics with Biomedical Applications. 305-306 (2001)

[Publications] 垂水共之他: "データによるプログラミング データ解析言語Sによる新しいプログラミング"森北出版. 461 (2002)

柳川堯九州大学, 大学院・数理学研究院, 教授 (80029488)

[Publications] 垂水共之他: "データによるプログラミングデータ解析言語Sによる新しいプログラミング"森北出版. 461 (2002)