• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical Study on the Structure of Biological Systems and Its Organizational Specificity

Research Project

Project/Area Number 62540496
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 生態学
Research InstitutionKyoto University

Principal Investigator

SHIGESADA Nanako  Faculty of Science, Kyoto University, 理学部, 助手 (70025443)

Co-Investigator(Kenkyū-buntansha) HIGASHI Masahiko  Faculty of Management Science, Ryukoku University, 経営学部, 講師 (40183917)
KOBUCHI Yohichi  Faculty of Science, Kyoto University, 理学部, 助手 (60025450)
山口 昌哉  京都大学, 理学部, 教授 (30025796)
寺本 英  京都大学, 理学部, 教授 (30025225)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1988: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1987: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsFood chain / Indirect effect / Population dynamics / Predation effect / Competition community / Cellular slime mold / Pattern formation / 連銭パターン / 食物連鎖網 / 協同進化 / 捕食 / Food web
Research Abstract

In this research we investigated the effects of interactions among constituent elements on the structure formation of a biological system, ranging from cell populations to biological community to ecosystem. By means of mathematical analysis of dynamical system models, the following specific features have been discovered.
1. At the ecosystem level, we developed a theoretical means for "unfolding" a food web along trophic levels, i.e., steps of energy and matter processing by constituent biological species. This unfolding tranfomation of food webs reveals the essential strucuture of tophic process. Further, we elucidated the dynamic process by which a change at a local point within a food web directly and indirectly influences other parts of the system and even could modify the entire structure.
2. At the biological community level, we investigated the effects of species interactions such as competion and predation on the number and diversity of coexisting species in a community , with foc … More us on characteristic properties of consituent species, to derive a law that determines species composition structure of a community in terms of constituent species characteristics. Also, a theoretical explanation was given for the mechanism and properties of the indirect, positive or negative, effects between predators with no direct interactions.
3. We studied the formation of cell differentiation pattern and its regulation mechanism for the cellular slime molds at migrating stage, to show that a typical pattern of slug is explained by assuming different density-dependent dynamics of two types of cells. Further, the addition of a rule for cell type transition which depends on local cell type ratio allows us to explain the regulation of the ratio between the two types of cells for the whole slug. This also guarantees the maintenance of the slug pattern itself. We also analyzed the rouleaux pattern formation of red blood cells, and obtained the results which support the osmotic stress hypothesis for cell aggregation mechanism. Less

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (61 results)

All Other

All Publications (61 results)

  • [Publications] Shigesada,N.: Lecture Notes in Biomathematics. 71. 88-97 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Matsuda,H.: Lecture Notes in Biomathematics. 71. 172-181 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 重定南奈子: 計測と制御(計測自動制御学会誌). 26. 52-58 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada,N.: Proceedings of the Autumn Course Seminors on Mathematical Ecology. 659-681 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kawasaki,K.: in"Theoretical Studies of Ecosystems:the Network Perspective". (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada,N.: RIMS Report,Kyoto University. 678. 109-119 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi,Y.: Information Processing Letters. 25. 413-415 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi,Y.: Lecture Notes in Biomathematics. 71. 234-243 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Nishida,T.: Theoretical Computer Science. 53. 319-333 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi,Y.: J.theor.Biol.130. 129-145 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Sekimura,T.: Sci.Form. 3. 67-72 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi,Y.: RIMS Report,Kyoto Univ.678. 85-100 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Klir,G.J.: Proceedings,Second IFSA Congress,Tokyo. 94-97 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi,M.: Paroceedings,Second IFSA Congress,Tokyo. 547-550 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi,M.: The American Naturalist. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Patten,B.C.: Proceedings,Symposium"Freshwater Wetland and Wildlife". (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 東正彦: 個体群生態学会会誌. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi,M.: Theoretical Studies of Ecosytems. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi,M.: Theoretical Studies of Ecosystems. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Burns,B.P.: Theoretical Studies of Ecosystems. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada,N.: ""Topics in Applied Mathematics" Spatial Distributions of Dispersing Animals:Effects of Population Pressure and Environmental Heterogeneity" Manchester University Press,

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi,M.: "Theoretical Studies of Ecosystems:The Network Perspective" Cambridge University Press,

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada, N.; Kawasaki, K.; Teramoto, E.: "The speeds of traveling frontal waves in heterogeneous environments." Lecture Notes in Biomathematics. 71. 88-97 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Matsuda, H.; Kawasaki, K.; Shigesada, N.; Teramoto, E.; Ricciardi, L.: "Evolutionary and ecological stability of prey-predator systems with predatory switching" Lecture Notes in Biomathematics. 71. 172-181 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 26. 52-58 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada, N.; Kawasaki, K.; Teramoto, E.: "Communities with interference competition: Direct and indirect effects of predation on their structures" Proceedings of the Autumu Course Seminors on Mathematical Ecology. 659-681 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kawasaki, K.; Nakajima, H.; Shigesada, N.; Teramoto, E.: "Structure, stability and succession of model ecosystems" in "Theoretical Studies of Ecosystems: the Network Perspective" Cambridge Univ. Press. in press. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada, N.; Kawasaki, K.; Teramoto, E.: "The role of predation in organizing biological communities" RIMS Report, Kyoto University. 678. 109-119 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi, Y.: "A note on symmetrical cellular spaces" Information Processing Leters. 25. 413-415 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi, Y.: "A density dependent model for prestalk/prespore pattern formation in Dictyostelium discoideum" Lecture Notes in Biomathematics. 71. 234-243 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Nishida, T.; Kobuchi, Y.: "Repeatable words for substitution" Theoretical Computer Science. 53. 319-333 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi, Y.; Ito, T.; Ogiwara, A.: "A model for rouleaux pattern formation of red blood cells" J. theor. Biol.130. 129-145 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Sekimura, T.; Kobuchi, Y.: "Cell movements in the pattern formation of Dictyostelium discoideum" Sci. Form. 3. 67-72 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kobuchi, Y.: "Asymmetric neural networks with effector and receptor parameters" RIMS Report, Kyoto University. 678. 85-100 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Klir, G.J.: "The use of uncertainty measures in systems science" Proceedings, Second IFSA Congress, Tokyo. 94-97 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi, M.: "Applications of finite fuzzy relation equations to systems problems" Proceedings, Second IFSA Congress, Tokyo. 547-550 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi, M.: "Dominance of indirect causality in ecosystems" The American Naturalist. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Patten, B.C.: "Network trophic dynamics: the food wed of an Okefenokee Swamp aquatic bed marsh" Proceedings, Symposium "Freshwater Wetland and Wildlife". (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Patten, B.C.: "Network trophic dynamics: the food wed of an Okefenokee Swamp aquatic bed marsh" Proceedings, Symposium "Freshwater Wetland and Wildlife". (1989)(1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi, M.: "Enrichment of ecosystem theory" Theoretical Studies of Ecosystems. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Higashi, M.: "Network trophic dynamics: an emerging paradigm in ecosystem ecology" Theoretical Studies of Ecosystems. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Burns, T.: "Hierarchical evolution within ecosystem networks: an environ mediated control theory" Theoretical Studies of Ecosystems. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada, N.: in "Topics in Applied Mathematics" Spatial Distribution of Dispersing Animals: Effects of Population Pressure and Environmental Heterogeneity. Manchester University Press, (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Shigesada,N.: Proceedings of the Autumn Course Seminors on Mathematical Ecology. 659-681 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kawasaki,K.: in"Theoretical Studies of Ecosystems:the Network Perspective". (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Shigesada,N.: RIMS Report,Kyoto University. 678. 109-119 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kobuchi,Y.: J.theor.Biol.130. 129-145 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Sekimura,T.: Sci.Form. 3. 67-72 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kobuchi,Y.: RIMS Report,Kyoto Univ.678. 85-100 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Patten,B.C.: Freshwater Wetlands and Wildlife(USDOE COF-8603101). (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Patten,B.C.: Ecological Modelling. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] 東正彦: 個体群生態学会会誌. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Shigesada,N.: "in"Topics in Applied Mathematics"Spatial Distributions of Dispersing Animals:Effects of Population Pressure and Environmental Heterogeneity" Manchester University Press,

    • Related Report
      1988 Annual Research Report
  • [Publications] Higashi,M.(ed.): "Theoretical Studies of Ecosystems:The Network Perspective" Cambridge University Press, (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] 東正彦: "Theoretical Studies of Ecosystems:the Network Perspective"(eds, M. Higashi & B. Burns). (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] T. Burns: "Theoretical Studies of Ecosystems:the Network Perspective"(eds, M. Higashi & B. Burns). (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] Shigesada N.: "Mathematical Topics in Population Biology, Morphogenesis and Neurosciences"(eds. E. Teramoto and M. Yamaguti), Lecture Notes in Biomathematics 71, Springer-Verlag,. 71. 88-97 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] Y. Kobuchi: Information Processing Letters. 25. 413-415 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] Y. Kobuchi: J. theor. Biol. 130. 129-145 (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] 重定南奈子: 計測と制御. 26. 52-58 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] Nakao Shigesada: "in"Topics in Applied Mathematics"(ed. L. Ricciardi) Spatial Distributions of Dispersing Animals:Effects of Population Pressure and Fnvironmental Heterogeneity." Manchester University Press,

    • Related Report
      1987 Annual Research Report

URL: 

Published: 1987-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi