Mathematical modeling for functional differentiation of neural networks

• Project/Area Number: 26540123
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Soft computing
• Research Institution: Fukuoka Institute of Technology (2015); Hokkaido University (2014)
• Principal Investigator: Yamaguti Yutaka 福岡工業大学, 情報工学部, 助教 (80507236)
• Co-Investigator(Kenkyū-buntansha): TSUDA Ichiro 北海道大学, 大学院理学研究院, 教授 (10207384)
• Co-Investigator(Renkei-kenkyūsha): SHIMIZU Masahiro 大阪大学, 情報科学研究科, 准教授 (50447140)
• Project Period (FY): 2014-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
• Keywords: 機能分化 / 伝送エントロピー / 数理モデル / 結合振動子 / 変分原理 / 自己組織化 / 複雑系 / 移送エントロピー / 相互情報量

Outline of Final Research Achievements

To understand a mechanism of functional differentiations in the brain, we develop a mathematical model of heterogeneous modules in the brain. We study how heterogeneous modules develop in coupled-map networks via a genetic algorithm, where the selection is based on maximizing bidirectional information transmission. Two functionally differentiated modules evolved from two homogeneous systems with random couplings, which are associated with symmetry breaking of intrasystem and intersystem couplings. From the viewpoint of system development, the present study shows how system components emerge under the presence of constraints that act on a whole system. Based on the modeling study, we construct a theory on a novel type of self-organization, where the overall development of a system follows a certain variational principle.

Research Products

• [Journal Article] Self-Organization with Constraints―A Mathematical Model for Functional Differentiation (2016)
  • Author(s): Ichiro Tsuda, Yutaka Yamaguti and Hiroshi Watanabe
  • Journal Title: Entropy Volume: 18 Issue: 3 Pages: 74-74
  • DOI: 10.3390/e18030074
  • Peer Reviewed / Open Access
• [Journal Article] Application of an Iterated Function System with Dynamic Selection Probability to Deliberative Decision-Making (2015)
  • Author(s): Yutaka Yamaguti, Ichiro Tsuda
  • Journal Title: Advances in Cognitive Neurodynamics(V): Proceedings of the 5th International Conference on Cognitive Neurodynamics 2015 Volume: 5 Pages: 735-740
  • DOI: 10.1007/978-981-10-0207-6_99
  • ISBN: 9789811002052, 9789811002076
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Chaotic itinerancy and its roles in cognitive neurodynamics (2015)
  • Author(s): Ichiro Tsuda
  • Journal Title: Current Opinion in Neurobiology Volume: 31 Pages: 67-71
  • DOI: 10.1016/j.conb.2014.08.011
  • NAID: 120005732983
  • Peer Reviewed / Open Access
• [Journal Article] Self-organization of a Second Kind: General Scope and a Cortical Case Study (2015)
  • Author(s): Ichiro Tsuda
  • Journal Title: Advances in Cognitive Neurodynamics Volume: 1 Pages: 13-15
  • DOI: 10.1007/978-981-10-0207-6_3
  • ISBN: 9789811002052, 9789811002076
  • Peer Reviewed
• [Journal Article] Mathematical Modeling for Evolution of Heterogeneous Modules in the Brain (2015)
  • Author(s): Yutaka Yamaguti, Ichiro Tsuda
  • Journal Title: Neural Networks Volume: 62 Pages: 3-10
  • DOI: 10.1016/j.neunet.2014.07.013
  • Peer Reviewed / Open Access
• [Journal Article] Evolution of Heterogeneous Network Modules via Maximization of Bidirectional Information Transmission (2014)
  • Author(s): Yutaka Yamaguti
  • Journal Title: Advances in Cognitive Neurodynamics (IV) Volume: 4 Pages: 605-608
  • DOI: 10.1007/978-94-017-9548-7_87
  • ISBN: 9789401795470, 9789401795487
  • Peer Reviewed
• [Journal Article] Modeling the Genesis of Components in the Networks of Interacting Units (2014)
  • Author(s): Ichiro Tsuda, Yutaka Yamaguti, Hiroshi Watanabe
  • Journal Title: Advances in Cognitive Neurodynamics (IV) Volume: 4 Pages: 583-587
  • DOI: 10.1007/978-94-017-9548-7_84
  • ISBN: 9789401795470, 9789401795487
  • Peer Reviewed
• [Presentation] 情報伝達最大化原理に基づくネットワークの分化 (2016)
  • Author(s): 山口 裕
  • Organizer: 「非線形・統計力学とその周辺」セミナー
  • Place of Presentation: 京都府京都市左京区京都大学工学部
  • Year and Date: 2016-03-15
  • Invited
• [Presentation] 自己組織化再考―第二種自己組織化の可能性 (2015)
  • Author(s): 津田一郎
  • Organizer: 京都大学基礎物理学研究所研究会「複雑システムにおける創造的破壊現象の原理に迫る」
  • Place of Presentation: 京都府京都市中京区コープイン京都
  • Year and Date: 2015-08-06
  • Invited
• [Presentation] 自己組織化再考 (2015)
  • Author(s): 津田一郎
  • Organizer: 第１４回現象数理学コロキアム
  • Place of Presentation: 東京都中野区明治大学中野キャンパス高層棟
  • Year and Date: 2015-07-03
  • Invited
• [Presentation] Application of an iterated function system with dynamic selection probability to deliberative decision making, (2015)
  • Author(s): Yutaka Yamaguti, Ichiro Tsuda
  • Organizer: The 5th International Conference on Cognitive Neurodynamics
  • Place of Presentation: The Palm Beach Resort and Spa, Sanya, China
  • Year and Date: 2015-06-03
  • Int'l Joint Research
• [Presentation] 第二種自己組織化：脳の機能分化とアプリオリな時間空間概念 (2015)
  • Author(s): 津田一郎
  • Organizer: 2015年度人工知能学会全国大会
  • Place of Presentation: 北海道函館市公立はこだて未来大学
  • Year and Date: 2015-05-30
  • Invited
• [Presentation] Self-organization of a second kind: a mathematical model for functional differentiation in the brain (2015)
  • Author(s): Ichiro Tsuda
  • Organizer: Toward a New Paradim for Self-Organization
  • Place of Presentation: 京都府京都市左京区京都大学数理解析研究所
  • Year and Date: 2015-05-19
  • Int'l Joint Research / Invited
• [Presentation] Mathematical modeling of rat’s internal activity: iterated function system with dynamic selection probability (2014)
  • Author(s): Yutaka Yamaguti, Hiroshi Nishida, Muneyoshi Takahashi, Johan Lauwereyns, Ichiro Tsuda
  • Organizer: The 15th RIES-Hokudai International Symposium [Hibiki]
  • Place of Presentation: シャトレーゼガトーキングダムサッポロ(北海道札幌市)
  • Year and Date: 2014-12-16 – 2014-12-17
• [Presentation] 動的な選択確率を持つIterated Function System による課題遂行中のラット海馬神経活動の数理モデル (2014)
  • Author(s): 山口裕、西田洋司、高橋宗良、ローレンス・ヨハン、津田一郎
  • Organizer: 2014年度包括脳ネットワーク冬のシンポジウム
  • Place of Presentation: 東京医科歯科大学湯島キャンパス(東京都文京区)
  • Year and Date: 2014-12-11 – 2014-12-13
• [Presentation] Evolution of Heterogeneous Modules via Maximization of Bi-directional Information Transmission (2014)
  • Author(s): Yutaka Yamaguti and Ichiro Tsuda
  • Organizer: 4th Symposium on Artificial Life and Biomimetic Functional Materials
  • Place of Presentation: 東京大学アドバンスド・リサーチ・ラボラトリー(東京都目黒区)
  • Year and Date: 2014-11-28
  • Invited
• [Presentation] 情報伝達最大化原理に基づくネットワークの分化 (2014)
  • Author(s): 山口裕 津田一郎
  • Organizer: 第２回アライアンス若手研究交流会～モノを創る、観る、識る～
  • Place of Presentation: 大阪大学産業科学研究所(大阪府茨木市)
  • Year and Date: 2014-11-26 – 2014-11-27
• [Presentation] The Second Kind of Self-Organization (2014)
  • Author(s): Ichiro Tsuda
  • Organizer: Waseda AICS Symposium and the 14th Slovenia-Japan Seminar “New Challenges in Complex Systems Science”
  • Place of Presentation: 早稲田大学西早稲田キャンパス(東京都新宿区)
  • Year and Date: 2014-10-24
  • Invited
• [Presentation] 脳の数理モデルについて (2014)
  • Author(s): 津田一郎
  • Organizer: 物質・デバイス領域共同研究拠点事業『ABE2 空間における次世代デバイス・システムの展望 ～高効率太陽電池の展開、並びに清浄環境の未来』研究会
  • Place of Presentation: 北海道大学電子科学研究所(北海道札幌市)
  • Year and Date: 2014-09-05
  • Invited
• [Presentation] 数理モデリングから見た神経振動現象の多様性と普遍性 (2014)
  • Author(s): 津田一郎
  • Organizer: 神経オシレーションカンファレンス2014
  • Place of Presentation: 自然科学研究機構岡崎コンファレンスセンター(愛知県岡崎市)
  • Year and Date: 2014-07-17 – 2014-07-18
  • Invited
• [Book] 津田 一郎 (2015)
  • Author(s): 心はすべて数学である
  • Total Pages: 218
  • Publisher: 文芸春秋