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2012 Fiscal Year Final Research Report

Mathematical analysis of locomotion, learning, and memory using stochastic models

Planned Research

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Project AreaSystems molecular ethology to understand the operating principle of the nervous system
Project/Area Number 20115009
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Biological Sciences
Research InstitutionThe University of Tokyo

Principal Investigator

MASUDA Naoki  東京大学, 大学院・情報理工学系研究科, 准教授 (40415295)

Co-Investigator(Kenkyū-buntansha) OHKUBO Jun  京都大学, 情報学研究科, 講師 (70451888)
Co-Investigator(Renkei-kenkyūsha) NOZAKI Daichi  東京大学, 教育学研究科, 教授 (70360683)
Project Period (FY) 2008 – 2012
Keywordsネットワーク / 統計物理学 / 確率過程 / ランダム・ウォーク / 走性 / 学習
Research Abstract

First, we analyzed a data set obtained from locomotion of Caenorhabditis elegans and revealed its long-tailed nature. Second, we proposed a measure of importance of nodes in directed networks, corresponding to neurons, for example, in biological networks, using the so-called Laplacian matrix of the network. Third, we used a coupled oscillator model to quantify the precision of oscillatory rhythms in synchronous cell networks. Fourth, we applied the maximum entropy model to data of brain networks to estimate the network structure to find that the proposed method inferred the anatomical network with a higher accuracy than previous methods did. Fifth, we analyzed general temporal networks in which events were dynamical objects on links in networks.

  • Research Products

    (34 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (21 results) (of which Peer Reviewed: 21 results) Presentation (11 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Systematic analysis of neural projections in the Drosophila brain as a composition of clonally associated units2013

    • Author(s)
      Ito, M., Masuda, N., Shinomiya, K., Endo, K., and Ito, K
    • Journal Title

      Current Biology

      Volume: 23 Pages: 644-655

    • Peer Reviewed
  • [Journal Article] A pairwise maximum entropy model accurately describes resting-state human brain networks2013

    • Author(s)
      Watanabe, T., Hirose, S., Wada, H., Imai, Y., Machida, T., Shirouzu, I., Konishi, S., Miyashita, Y., and Masuda, N
    • Journal Title

      Nature Communications

      Volume: 4 Pages: 1370

    • Peer Reviewed
  • [Journal Article] Groupwise information sharing promotes ingroup favoritism in indirect reciprocity2012

    • Author(s)
      Nakamura, M., and Masuda, N
    • Journal Title

      BMC Evolutionary Biology

      Volume: 12 Pages: 213

    • Peer Reviewed
  • [Journal Article] One-parameter extension of the Doi-Peliti formalism and its relation with orthogonal polynomials2012

    • Author(s)
      Ohkubo, J
    • Journal Title

      Physical Review E

      Volume: 86 Pages: 042102

    • Peer Reviewed
  • [Journal Article] Counting statistics for genetic switches based on effective-interaction approximation2012

    • Author(s)
      Ohkubo J
    • Journal Title

      Journal of Chemical Physics

      Volume: 137 Pages: 125102

    • Peer Reviewed
  • [Journal Article] Structure of cell networks critically determines oscillation regularity2012

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Journal Title

      Journal of Theoretical Biology

      Volume: 297 Pages: 61-72

    • Peer Reviewed
  • [Journal Article] Dopamine modulates the rest period length without perturbation of its power law distribution in Drosophila melanogaster2012

    • Author(s)
      Ueno, T., Masuda, N., Kume, S., and Kume, K
    • Journal Title

      PLoS ONE

      Volume: 7 Pages: e32007

    • Peer Reviewed
  • [Journal Article] Importance of individual events in temporal networks2012

    • Author(s)
      Takaguchi, T., Sato, N., Yano, K., and Masuda, N
    • Journal Title

      New Journal of Physics

      Volume: 14 Pages: 093003

    • Peer Reviewed
  • [Journal Article] Approximation scheme based on effective interactions for stochastic gene regulation2011

    • Author(s)
      Ohkubo, J
    • Journal Title

      Physical Review E

      Volume: 83 Pages: 041915

    • Peer Reviewed
  • [Journal Article] Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series data2011

    • Author(s)
      Ohkubo, J
    • Journal Title

      Physical Review E

      Volume: 84 Pages: 077802

    • Peer Reviewed
  • [Journal Article] Clustering in large networks does not promote upstream reciprocity2011

    • Author(s)
      Masuda, N
    • Journal Title

      PLoS ONE

      Volume: 6 Pages: e25190

    • Peer Reviewed
  • [Journal Article] Direct numerical method for counting statistics in stochastic processes2010

    • Author(s)
      Ohkubo, J., and Eggel, T
    • Journal Title

      Journal of Statistical Mechanics

      Volume: P06013

    • Peer Reviewed
  • [Journal Article] Long-tail behavior in locomotion of Caenorhabditis elegans2010

    • Author(s)
      Ohkubo, J., Yoshida, K., Iino, Y., and Masuda, N
    • Journal Title

      Journal of Theoretical Biology

      Volume: 267 Pages: 213-222

    • Peer Reviewed
  • [Journal Article] Dynamics-based centrality for general directed networks2010

    • Author(s)
      Masuda, N., and Kori, H
    • Journal Title

      Physical Review E

      Volume: 82 Pages: 056107

    • Peer Reviewed
  • [Journal Article] Enhancing the spectral gap of networks by node removal2010

    • Author(s)
      Watanabe, T., and Masuda, N
    • Journal Title

      Physical Review E

      Volume: 82 Pages: 046102

    • Peer Reviewed
  • [Journal Article] Upstream reciprocity in heterogeneous networks2010

    • Author(s)
      Iwagami, A., and Masuda, N
    • Journal Title

      Journal of Theoretical Biology

      Volume: 265 Pages: 297-305

    • Peer Reviewed
  • [Journal Article] Collective fluctuations in networks of noisy components2010

    • Author(s)
      Masuda, N., Kawamura, Y., and Kori, H
    • Journal Title

      New Journal of Physics

      Volume: 12 Pages: 093007

    • Peer Reviewed
  • [Journal Article] Posterior probability and fluctuation theorem in stochastic processes2009

    • Author(s)
      Ohkubo, J
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 78 Pages: 123001

    • Peer Reviewed
  • [Journal Article] Analysis of relative influence of nodes in directed networks2009

    • Author(s)
      Masuda, N., Kawamura, Y., and Kori, H
    • Journal Title

      Physical Review E

      Volume: 80 Pages: 046114

    • Peer Reviewed
  • [Journal Article] Impact of hierarchical modular structure on ranking of individual nodes in directed networks2009

    • Author(s)
      Masuda, N., Kawamura, Y., and Kori, H
    • Journal Title

      New Journal of Physics

      Volume: 11 Pages: 113002

    • Peer Reviewed
  • [Journal Article] The stochastic pump current and the non-adiabatic geometrical phase

    • Author(s)
      Ohkubo, J
    • Journal Title

      Journal of Statistical Mechanics

      Volume: P02011

    • Peer Reviewed
  • [Presentation] Network structure dependence of collective enhancement of temporal precision in coupled noisy oscillators2013

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Organizer
      The First Annual Winter q-bio Meeting
    • Place of Presentation
      Waikiki, Hawaii
    • Year and Date
      20130218-21
  • [Presentation] Quantifying importance of interaction events in temporal networks2012

    • Author(s)
      Masuda, N
    • Organizer
      Toward Mathematical Foundations of Complex Network Theory
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20120914-16
  • [Presentation] Dependence of oscillation regularity on network structure in coupled noisy oscillators2012

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Organizer
      European Conference on Complexf Systems (ECCS'12)
    • Place of Presentation
      Brussel, Belgium
    • Year and Date
      20120903-07
  • [Presentation] A centrality measure for interaction events in temporal networks2012

    • Author(s)
      Takaguchi, T., Sato, N., Yano, K., and Masuda. N
    • Organizer
      European Conference on Complex Systems (ECCS'12)
    • Place of Presentation
      Brussel, Belgium
    • Year and Date
      20120903-07
  • [Presentation] Detecting important interaction events in temporal networks2012

    • Author(s)
      Takaguchi, T., Sato, N., Yano, K., and Masuda, N
    • Organizer
      NetSci 2012
    • Place of Presentation
      Evanston, Illinois, USA
    • Year and Date
      20120620-22
  • [Presentation] Dependence of oscillation regularity on structure of networks. Anomalous Statistics2012

    • Author(s)
      Masuda, N
    • Organizer
      Generalized Entropies and Information Geometry
    • Place of Presentation
      Nara, Japan
    • Year and Date
      20120306-10
  • [Presentation] Network structure dependence of oscillation regularity in coupled noisy oscillators2011

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Organizer
      Engineering of Chemical Complexity
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      20110704-08
  • [Presentation] Design principle of precise neural clocks2011

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Organizer
      The 3rd International Conference on Cognitive Neurodynamics (ICCN2011)
    • Place of Presentation
      Hilton Niseko Village, Hokkaido, Japan
    • Year and Date
      20110609-13
  • [Presentation] Sequential node removal to increase the spectral gap of networks2011

    • Author(s)
      Watanabe, T. and Masuda, N
    • Organizer
      NetSci 2011
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      20110608-10
  • [Presentation] Collective phase diffusion in networks of noisy oscillators2011

    • Author(s)
      Masuda, N., Kawamura, Y., and Kori, H
    • Organizer
      SIAM Conference on Applications of Dynamical Systems. Workshop: Linking Neuronal Network Architecture and Collective Dynamics
    • Place of Presentation
      Snowbird, Utah, USA
    • Year and Date
      20110522-26
  • [Presentation] Theory of collective enhancement of temporal precision in oscillator networks2010

    • Author(s)
      Kori, H., Kawamura, Y., and Masuda, N
    • Organizer
      Biosignal 2010
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      20100714-16
  • [Book] 複雑ネットワーク 基礎から応用まで2010

    • Author(s)
      増田直紀,今野紀雄
    • Publisher
      近代科学社
  • [Remarks] いくつかの研究成果の日本語による解説を以下のホームページで行っている

    • URL

      http://www.stat.t.u-tokyo.ac.jp/~masuda/

URL: 

Published: 2014-08-29  

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