研究業績リスト(平成18年度~平成22年度)

研究代表者

研究分担者

研究代表者

三村 昌泰 (研究代表者)

発表論文・著書

  1. M. Henry, D. Hilhorst and M. Mimura: A reaction-diffusion approximation to an area preserving mean curvature flow coupled with a bulk equation, to appear in Discrete and Continuous Dynamical Systems – Series S
  2. A. Aotani, M. Mimura and T. Mollee: A model aided understanding of spot pattern formation in chemotactic E. coli colonies, to appear in Japan J. Industrial and Applied Mathematics
  3. A. Fasano, M. Mimura and M. Primicerio: Modelling a slow smoldering combustion process, to appear in Math. Meth. Appl. Sci.
  4. M. Bertsch, R. Dal Passo and M. Mimura: A free boundary problem arising in a simplified tumour growth model of contact inhibition, Interfaces and Free Boundaries, 12, 235-250 (2010)
  5. J. Zu, M. Mimura and J. Y. Wakano: The evolution of phenotypic traits in a predator-prey system subject to Allee effect. , J. Theor. Biol. 262, 528-543 (2010)
  6. D. Hilhorst, M. Mimura and H. Ninomiya: Fast reaction limit of competition diffusion systems, to be pressed in Handbook of Differential Equations: Evolutionary Differential Equations, vol. 5, eds. C. Dafermos and M. Pokorny, Elsevier, 105-168 (2009)
  7. D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi: A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Statistical Physics, 135, 107-132 (2009)
  8. X.-C. Chen, S.-I. Ei and M. Mimura: Self-motion of camphor discs: Model and Analysis, Networks and Heterogeneous Media 4, 1-17 (2009)
  9. S. Kawaguchi and M. Mimura: Synergetic effect of two inhibitors and one activator in a reaction-diffusion system, Phys. Rev. E 77 046201(1-17) (2008)
  10. D. Hilhorst, R. Kersner, E. Logak and M. Mimura: Interface dynamics of the Fisher equation with degenerate diffusion, J. differential Equations, 244, 2879-2889 (2008)
  11. H. Izuhara and M. Mimura: Reaction-diffusion system approximation to the cross-diffusion competition system, Hiroshima Math. J., 38, 315-347 (2008)
  12. K. Ikeda and M. Mimura: Mathematical treatment of a model for smoldering combustion, Hiroshima Math. J., 38, 349-361 (2008)
  13. M. Mimura, T. Miyaji and I. Ohnishi: A billiard problem in nonlinear and non-equilibrium systems, Hiroshima Math. J. 37, 1-43 (2007)
  14. M. Aida, T. Tsujikawa, M. Efendiev, A. Yagi and M. Mimura: Lower estimate of attractor dimension for chemotaxis-growth system, J. London Math. Soc. 74, 453-474 (2006)
  15. D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi, Fast reaction limits and Liesegang bands, Inter. Series of Numerical Math., 154, 241-250 (2006)
  16. M. Iida, M. Mimura and H. Ninomiya: Diffusion, Cross-diffusion and Competitive Interaction, J. Math. Biol., 53, 617-641(2006)
  17. M. Funaki, M. Mimura and A. Tsujikawa: Traveling front solutions in a chemotaxis-growth model, Interfaces and Free Boundaries, 8, 223-245 (2006)
  18. S.-I. Ei, M. Mimura and M. Nagayama: Interacting Spots in Reaction-Diffusion Systems, J. Discrete and Continuous Dynamical Systems, Series A, 14 31-62 (2006)

招待講演

  1. A tumour growth model with contact inhibition, Workshop on Spatio-temporal patterns from Mathematics to Biological Applications, Geneva, Swiss (March 15, 2010)
  2. Minimal mechanism for pattern formation in stressed bacteria, Interdisciplinary Workshop on Pattern formation in morphogenesis, IHES., France (January 14, 2010)
  3. Model-aided Understanding of Secrets in Biological Systems, Conference on the Mathematics of Darwin’s Legacy, Lisboa, Portugal (November 24, 2009)
  4. Traveling waves arising in tumor growth models, Advanced Mathematical Sciences II, 明治大学紫紺館 (2009年10月30日)
  5. Mathematical understanding of pattern dynamics, 第19回日本数理生物学年会基調講演,東京大学 (2009年9月11日)
  6. A reaction-diffusion system describing smoldering combustion under micro-gravity, 2nd International Conference on Reaction-Diffusion Systems and Viscositiy Solutions Providence Univ. Taichung, Taiwan (July 13, 2009)
  7. Self-organized patterns in smoldering combustion, International Workshop on Self-organization in chemical and biological systems, 明治大学紫紺館 (July 7, 2009)
  8. グレイースコットモデルの解析は何故難しいか? 「散逸系の数理」京都大学数理解析研究所 (2009年6月22日)
  9. Excitable systems and Pattern formation I and II, Advanced Mathematical Sciences I (2009年6月11日)
  10. Contact inhibition and Free boundary problems, Industrial Mathematics Seminar, Dept. Math. Univ. Firenze, Italy (May 11, 2009)
  11. Self-organized patterns in bacterial colonies, Pizza Seminar, Rome II Univ., Italy (May 7, 2007)
  12. Computer-assisted analysis on pattern dynamics in exothermic reaction-diffusion systems, Numerical Analysis seminar, Rome I Univ., Italy (May 5, 2009)
  13. Segregation Problems in competition-diffusion systems, Analysis Seminar, Rome I Univ., Italy (April 28, 2009)
  14. Model-aided understanding of diverse patterns in smoldering combustion, Conference on World of Emerging Phenomena,九州大学西新プラザ (October 16, 2009)
  15. Reaction-diffusion equations and Applications, Analysis seminar, Institute of Mathematics, Academia Sinica, Taiwan (December 20, 2008)
  16. Transient self-organized patterns in biological and chemical systems, International Workshop on Mathematical Biology, National Taiwan Normal University, Taiwan (December 15, 2008)
  17. Traveling waves in smoldering combustion under micro-gravity, Workshop on PDE approximations in fast reaction-slow diffusion scenario, Lorentz Center, the Netherlands (November 10, 2008)
  18. 微少重力環境でのすす燃焼モデルについて
  19. ,「界面現象のダイナミクスを解明する最前線の数値解析とその展開III」, 神戸インスティチュート (2007年10月16日)
  20. Transient asymptotics in master-slave type reaction-diffusion systems, Workshop on Experimental and Theoretical Studies of Precipitation Patterns, Akihabara Satellite, Tokyo (2007年6月28日)
  21. Self-Organized Patterns in Bacterial Colonies”, BIOCOMP 2007, Vietro, Italy (2007年9月25日)
  22. Modeling of smoldering combustion under micro-gravity”, Mathematical Modeling and Analysis in Biological and Chemical Systems, Orsay & IHES, France(2007年9月3日)
  23. Spatial Segregation Problem in Competitive Systems, PDE and Biology, KTH, Stockholm, Sweden (2007年7月11日)
  24. Pattern formation in biological systems far from equilibrium state, School in Biomathmatics “Cell growth and Pattern formation”, University of Trento (March 19-23, 2007)
  25. Recent topics on Competition-Diffusion Systems, International Symposium on Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences, Shizuoka University, Hamamatsu, (March 14, 2007)
  26. Transient Pattern Formation in Reaction-Diffusion Systems, International Conference on Reaction -Diffusion Systems and Viscosity Solutions, Providence University, Taichung, Taiwan (January 3, 2007)
  27. うつろひ、消えていくパターンの数理、慶応大21世紀COEセミナー(2006年12月14日)
  28. Recent Topics on Three-Component Reaction-Diffusion Systems, Conference on Reaction- Diffusion Systems: Theory and Applications, National Taiwan Normal University, Taipei, Taiwan (December 1, 2006)
  29. Combustion under Micro-Gravity: Modeling and Simulation, International Conference on Recent Advances and Applications in Nonlinear Science, Univ. of Tokyo, Tokyo (October 17, 2006)
  30. Precipitation Reaction Diffusion Systems, International Symposium on Understanding of Complex Pattern Dynamics, Kobe Institute, Kobe, Japan (September 27, 2006)
  31. Modeling and Analysis of Precipitation Patterns, Recent Advances in Free Boundary Problem and related Topics, Levico, Italy (September, 14, 2006)
  32. 広大数理解析セミナ−, 広島大学理学研究科数学専攻(2006年8月11日)
  33. Self-organization in biological and Chemical systems, Cursos de verano 2006, El Escorial, Spain (August 2, 2006)
  34. Modeling Challenge of Reaction-Diffusion Equations to Far from Equilibrium Systems, AIMS’s 6th International Conference on Dyn. Systems, Diff. Equations and Applications, University of Poitiers, France (June 28, 2006)
  35. Spatially Segregating Patterns arising in Competition-Diffusion Systems, Symposium on Reaction-Diffusion Systems and the Dynamics of Patterns, AIMS’s 6th International Conference on Dyn. Systems, Diff. Equations and Applications, University of Poitiers, France (June 27, 2006)
  36. Mathematical Understanding of self-organization in reaction-diffusion systems,輔仁大学数学系学術演講, 台湾(May 15, 16, 2006)
  37. Mathematics moving towards Biology, Special colloquium, Rome 1 Univ., Italy (April 7, 2006)
  38. Cross-diffusion induced instability in competition systems, Mathematical Biology Seminar, Rome 1 Univ. (April 5, 2006)

アウトリーチ活動

  • 沖縄県立開邦高校 理数科講演会 2009年12月24日
  • 広島大学付属高校SSH特別講義 2009年12月1日
  • 沖縄県立開邦高校SSH特別講義 2009年10月8日

研究分担者

西浦 廉政 (研究分担者:北海道地区担当)

発表論文・著書

  1. M. Iima and Y. Nishiura, "Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture", Physica D, 238, 449-460, (2009)
  2. K. Ito and Y. Nishiura , "Intermittent Switching for Three Repulsively Coupled Oscillators ", Phys. Rev. E, 77, 036224, (2008)
  3. Y. Nishiura, Y. Oyama, and K. Ueda, "Dynamics of traveling pulses in heterogeneous media of jump type", Hokkaido Math.J. Vol.36, No.1 207-242 (2007).
  4. Y. Nishiura, T. Teramoto, X. Yuan and K. Ueda : "Dynamics of traveling pulses in heterogeneous media", Chaos, 17(3) : 037104 (2007)
  5. S. Takagi, Y. Nishiura, T. Nakagaki, T. Ueda and K. Ueda, "Indecisive behavior of amoeba crossing an environmental barrier", Proceedings of the international symposium on "Topological Aspects of Critical Systems and Networks", 86-93, World Scientific (2007)
  6. X. Yuan, T. Teramoto and Y. Nishiura, "Heterogeneity-induced defect bifurcation and pulse dynamics for a three-component reaction-diffusion system", Phys. Rev. E 75, 3, 036220, (2007)
  7. T. Teramoto, K. Ueda and Y. Nishiura, "Breathing Scattors in Dissipative Systems ", Progress of Theoretical Physics Supplement, 161, 364-367 (2006)

招待講演

  1. A Role of Network of Unstable Patterns in Dissipative Systems, Dynamics of Patterns, Mathematishes Forschunginstitut Oberwolfach, Germany (Dec 14-20, 2008)
  2. Particle Patterns in Dissipative Systems, 2007/2008 IAM-PIMS-MITACS Distinguished Colloquim Series, University of British Columbia, Canada (April 07, 2008)
  3. Pinning and Depinning for Particle-Like Solutions in Dissipative Systems, SIAM Conference on Analysis of Partial Differential Equations(PD07), Hilton Phoenix East/Mesa, USA (Dec 10-12, 2007)
  4. Collision Dynamics in Heterogeneous Dissipative Media, 2007 SIAM Conference on Applications of Dynamical Systems: Propagation of Fronts and Pulse in Reaction-diffusion-advection Systems, Zurich, Switzerland (May 28, 2007)
  5. Scattering Dynamics of Particle Patterns in Dissipative Systems, SIAM Conference on Nonlinear Waves and Coherent Structures, Washington, USA (Sep 09-12, 2006)

一般講演

  1. Dynamics of Paticle Patterns in Dissipative Systems", Second Canada-France Congress, Montreal, Canada (June 02, 2008)
  2. Morphological Characterization of Diblock Copolymer Problem, SIAM Conference; Mathematical Aspects of Materials Science, Philadelphia, PA, USA (May 12, 2008)
  3. 不均一媒質における粒子解ダイナミクス, 日本数学会年会, 埼玉大学 (2007年3月27~30日)

俣野 博 (研究分担者:関東地区担当)

発表論文・著書

  1. M. Alfaro, D. Hilhorst and H. Matano, The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system, J. Differential Equations 245 505-565 (2008).
  2. B. Fiedler and H. Matano, Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations, J. Dynam. Differential Equations 19 867-893 (2007).
  3. H. Matano, Blow-up in nonlinear Heat equations with supercritical power nonlinearity, "Perspectives in Nonliner Partial Differential Equations: In honor of Haim Brezis", Contemporary Mathematics 446, Amer. Math. Soc. 385-412 (2007).
  4. D. Hilhorst, G. Karali, H. Matano and K. Nakashima, Singular limit of a spatially inhomogeneous Lotka-Volterra competition diffusion system, Comm. Partial Differential Equations 32 879-933 (2007).
  5. H. Matano and P. Rabinowitz, On the necessity of gaps, J. Eur. Math. Soc. 8 355-373 (2006).
  6. H. Matano, K.-I. Nakamura and B. Lou, Periodic taveling waves in an undulating band domain and their homogenization limit, Networks and Heterogeneous Media 1 537-568 (2006).

招待講演

  1. Front propagation in spatially ergodic media, International Conference on Contemporary Applied Mathematics, Shanghai, China (January, 2009).
  2. Travelling and spreading fronts in heterogeneous media, Workshop on Dynamics and Patterns, Oberwolfach, Germany (December, 2008).
  3. Front propagation in spatially stratified environments, Differential Equations and Applications to Mathematical Biology, Le Havre, France (May, 2008).
  4. Front propagation in the presence of obstacles, A confenrence in honor of Avner Friedman's 75th birthday: Differential Equations and Math Biology, Columbus, USA (November, 2007).
  5. Propagation of fronts in spatially heterogeneous media, ReaDilab Conference on Mathematical Modeling and Analysis in Biological and Chemical Systems, Orsay, France (September, 2007).
  6. Some questions, {\it Conference on Analysis and Control of Partial Differential Equations, Pont-a-Mousson, France, (June, 2007).
  7. A braid group method for blow-up in nonlinear heat equations, International Conference on Mathematical Theory of Superconductivity and Liquid Crystals, Shanghai, China, (May, 2007).
  8. Traveling waves for an integro-difference equation, International Conference on Difference Equations and Applications, Kyoto, (July, 2006).
  9. Traveling waves in a saw-toothed domain and their homogenization limit, Launching Meeting of Networks and Heterogeneous Media, Maiori, Italy, (June, 2006).

柳田 英二 (研究分担者:東北地区担当)

発表論文・著書

  1. M. Fila, M. Winkler and E. Yanagida, Convergence to selfsimilar solutions in a supercritical parabolic equation, Disc. Cont. Dyn. Systems 21, 703-716 (2008).
  2. M. Hoshino and E. Yanagida, Sharp estimate of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity, Nonlinear Analysis TMA 69, 3136-3152 (2008).
  3. M. Fila, M. Winkler and E. Yanagida, Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation, Adv. Diff. Eqs. 13 (2008), 1131-1149.
  4. S.-I. Ei, H. Ikeda, K. Ikeda and E. Yanagida, Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems, Bull. Inst. Math. Acad. Sin. (N.S.) 3, 603-666 (2008).
  5. M. Fila, M. Winkler and E. Yanagida, Slow convergence to zero for a parabolic equation with supercritical nonlinearity, Math. Annal. 340, 477-496 (2008).
  6. C.-Y. Kao, Y. Lou and E. Yanagida, Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains, Mathematical Biosciences and Engineering 5, 315-335 (2007).
  7. M. Fila, J. R. King, M. Winkler and E. Yanagida, Grow-up of solutions of a semilinear parabolic equation with a critical exponent, Adv. Diff. Eqs. 12 1-26 (2007).
  8. M. Fila, J. R. King, M. Winkler and E. Yanagida, Linear behaviour of solutions of a superlinear heat equation, J. Math. Anal. Appl. 340, 401-409 (2007).
  9. M. Iida, K. Nakashima and E. Yanagida, On certain one-dimensional elliptic systems under different growth conditions at respective infinities, Advanced Studies in Pure Mathematics 47, 567-574 (2007).
  10. E. Yanagida, Irregular behavior of solutions for Fisher's equation, J. Dyn. Diff. Eqs. 19, 895-914 (2007).
  11. J.-L. Chern and E. Yanagida, Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation, J. Diff. Eqs. 224, 440-463 (2006).
  12. M. Fila, J. R. King, M. Winkler and E. Yanagida, Optimal lower bound of the grow-up rate for a supercritical parabolic equation, J. Differential Equations 228, 339-356 (2006).
  13. M. Kuwamura and E. Yanagida, Krein's formula for indefinite multipliers in linear periodic Hamiltonian systems, J. Diff. Eqs. 230 446-464, (2006).
  14. Y. Lou and E. Yanagida, Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight and applications to population dynamics, Japan J. Indust. Appl. Math. 23, 275-292 (2006).

招待講演

  1. On a modified Fermat-Steiner problem, NCTS Taiwan-Japan Joint Workshop on Partial Differential Equations, National Center for Theoretical Sciences, (February 23-25,2009).
  2. Convergence of anisotropically decaying solutions of a semilinear parabolic equation, Special Session on Partial Differential Equations, 7th Australia New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand, (December 9,2008).
  3. Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, Intensive Lecture Program and International Conference on P.D.E., Pusan National University, Korea, (June 12-13,2008).
  4. Solutions with moving singularities for a semilinear heat equation, The 9th International Workshop on Differential Equations, Chonnam University, Korea, (May 29-31, 2008).
  5. Minimization of the principal eigenvalue and its applications to population dynamics, Special session "Nonlinear Elliptic and Parabolic PDEs and Applications to Biology" 7th AIMS international conference on Dynamical Systems, Differential Equations and Applications, University of Texas at Arlington, USA (May 18-21,2008).
  6. Solutions with moving singularities for a semilinear parabolic equation, Special session "Qualitative Analysis of Parabolic Equations", 7th AIMS international conference on Dynamical Systems, Differential Equations and Applications, University of Texas at Arlington, USA (May 18-21,2008).
  7. Some properties of decaying solutions of a semilinear parabolic equation, Recent Advances on Nonlinear Parabolic and Elliptic Differential Equations, 龍谷大学, 2007年12月4日.
  8. Singular solutions of the Fujita-type equation, Partial Differential Equation Day, Taida Institute of Mathematical Sciences, National Taiwan University, Taiwan (November 28, 2007).
  9. Decaying solutions for a semilinear parabolic equation, First Chile-Japan Workshop on Nonlinear PDE (October 23-26), University of Chile, Santiago, Chile, (October 23, 2007).
  10. Solutions with moving singularities for a semilinear parabolic equation, BIRS Workshop, Recent progress on nonlinear elliptic and parabolic problems and related abstract methods, Banff International Research Station, Canada, (October 11, 2007).
  11. Stability analysis of stationary interfaces with triple junctions, I: Background and Formulation, II: The case of a single junction, III: The case of multiple junctions, Joint NCTS (South) Seminar, Dept. of Applied Math., National Sun Yat-sen University, Taiwan (August 31, 2007).
  12. Convergence to self-similar solutions for a semilinear parabolic equation, mini-symposium (Qualitative theory of elliptic and parabolic PDEs), Equadiff 2007, Vienna University of Technology, Austria (August 7, 2007).
  13. Large-time behavior of solutions to a parabolic equation with supercritical nonlinearity I: Convergence, II: Non-convergence, Intensive Lecture Program and International Conference on P.D.E., Pusan National University, Korea (February 22-23, 2007).
  14. Large-time behavior of solutions for a parabolic equation with power nonlinearity, International Conference on Nonlinear Analysis, NCTS, Taiwan (Novermber 21, 2006).
  15. Minimization of the principal eigenvalue and its applications to population dynamics, ReaDiLab Conference on Reaction-Diffusion Processes in Biological and Biomimetic Systems: from Experiments to Mathematical Modeling and Analysis, Bordeaux, France (October 4, 2006).
  16. Moving singularities of solutions to a semilinear parabolic equation, Third Euro-Japanese Workshop on Blowup, El Escorial, Spain (September 5, 2006).
  17. Grow-up and convergence of solutions for a parabolic equation, AIMS' Sixth International Conference on Dynamical Systems and Differential Equations, University of Poitier, France (June 26, 2006).
  18. Long-time behavior of solutions to a semilinear parabolic equation, I: Introduction, II: Convergence, III: Non-convergence, VI: Related problems, International School of Partial Differential Equations, Universidad Nacional Autonoma de Mexico, Mexico (June 1-2, 2006).
  19. Grow-up rate of solutions for a supercritical parabolic equation, The Sixth East Asia PDE conference, Wuhan University, China (May 16, 2006).

一般講演

  1. 主固有値の最小化とその応用,第6回浜松偏微分方程式研究集会,静岡大学工学部 (2008年12月22-23日).
  2. 主固有値最小化問題と個体群ダイナミクス,PDEs and Phenomena in Miyazaki 2008, 宮崎大学工学部 (2008年11月14-15日).
  3. Minimization of the principal eigenvalue and its applications to population dynamics, The Japan-France International Laboratory (LIA-197) ReaDiLab, "Mathematical Understanding of Complex Systems arising in Biology and Medicine", 明治大学 (2008年10月27-29日).
  4. Minimization of the principal eigenvalue for an elliptic problem with indefinite weight, 東北大学応用数学セミナー (2008年10月9日).
  5. Anisotropically decaying solutions of a supercritical semilinear heat equation, NCU Center of Mathematics and Theoretical Physics, National Central University, Taiwan, September 23, 2008.
  6. Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation, Partial Differential Equations Seminar, Ohio State University, USA (August 6, 2008).
  7. Singular solutions of a semilinear parabolic equation, PDE seminar, University of Minnesota, USA (March 26, 2008).
  8. Minimization of the principal eigenvalue for an elliptic problem with indefinite weight, Junior Colloquium, University of Minnesota, USA (March 25, 2008).
  9. Dynamics of global solutions for a semilinear heat equation, Colloquium, University of Minnesota, USA (March 6, 2008).
  10. Solutions with moving singularities of a semilinear parabolic equation, Special seminar on PDEs, National Changhua University of Education, Taiwan (December 20, 2007).
  11. 藤田型方程式における時間大域解の挙動について,応用解析セミナー,東京大学数理科学研究科, 2007年12月7日.
  12. Singular solutions of the Fujita-type equation, Partial Differential Equation Day, Taida Institute of Mathematical Sciences, National Taiwan University, Taiwan (November 28, 2007).
  13. Large-time behavior of solutions for a parabolic equation with supercritical nonlinearity, Colloquium, Lehigh University, USA (October 17, 2007).
  14. 歪勾配系における安定性解析 I, II,非線形数理秋の学校「パターン形成の数理とその周辺」 -反応拡散方程式理論による時・空間パターンの解析を中心に-, 明治大学・秋葉原サテライトキャンパス (2007年9月27日).
  15. 放物型偏微分方程式における大域的安定性と複雑ダイナミクス,熊本大学談話会 (2007年6月17日).

小林 亮 (研究分担者:中国地区担当)

発表論文・著書

  1. M. Akiyama, A. Tero and R. Kobayashi, A Mathematical Model Of Cleavage, J. Theor. Biol., 264(1), 84-94 (2010)
  2. T. Umedachi, K. Takeda, T. Nakagaki, R. Kobayashi and A. Ishiguro, Fully decentralized control of a soft-bodied robot inspired by true slime mold, Biol. Cybern., 102, 261-269 (2010)
  3. A. Tero, T. Nakagaki, T. Kazutaka, Y. Kenji and R. Kobayashi, A method inspired by Physarum for solving the Steiner problem, International Journal of Unconventional Computing, 6, 109-123 (2010)
  4. A. Tero, S. Takagi, T. Saigusa, K. Ito, D. P. Bebber, M. D. Fricker, K. Yumiki, R. Kobayashi and T. Nakagaki, Rules for biologically-inspired adaptive network design, Science, 327, 439-442 (2010)
  5. T. Umedachi, K. Takeda, T. Nakagaki, R. Kobayashi and A. Ishiguro, Taming Large Degrees of Freedom -A Case Study with an Amoeboid Robot-, The proceedings of 2010 IEEE International Conference on Robotics and Automation, (2010)
  6. K. Takeda, T. Umedachi, T. Nakagaki, R. Kobayashi and A. Ishiguro, Taming Many Degrees of Freedom: Fully Decentralized Control of a Soft-bodied Robot Inspired by True Slime Mold, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) Workshop/Tutorial Proceedings (2009)
  7. A. Ishiguro, T. Umedachi, T. Kitamura, T. Nakagaki and R. Kobayashi, A fully decentralized morphology control of an amoeboid robot by exploiting the law of conservation of protoplasmic mass, Proceedings of IROS WS 2008 (2009)
  8. T. Umedachi, T. Kitamura, T. Nakagaki, R. Kobayashi and A. Ishiguro : A modular robot driven by protoplasmic streaming, DISTRIBUTED AUTONOMOUS ROBOTIC SYSTEMS 8 (Eds. H.Asama et al.) Springer: 193-202 (2009)
  9. 小林 亮, 結晶成長の数理, 自己組織化ハンドブック, NTS出版, 分担執筆 (2009)
  10. 小林 亮, フェーズフィールドモデル, シリーズ 数理生物学要論 巻2 「空間」の数理生物学, 共立出版, 第10章を分担執筆, 167-180 (2009)
  11. T. Nakagaki, A. Tero, R. Kobayashi, I. Onishi and T. Miyaji, Computational ability of cells based on dynamics and adaptability, New Generation Computing, Ohmsha-Springer, 27(1), 57-81 (2009)
  12. A. Ishiguro, T. Umedachi, T. Kitamura, T. Nakagaki and R. Kobayashi, A fully decentralized morphology control of an amoeboid robot by exploiting the law of conservation of protoplasmic mass, Proceedings of IROS WS 2008 (2008)
  13. T. Umedachi, T. Kitamura, T. Nakagaki, R. Kobayashi and A. Ishiguro, A modular robot driven by protoplasmic streaming, Proceedings of DARS2008 (2008)
  14. A. Tero, K. Yumiki, R. Kobayashi, T. Saigusa and T. Nakagaki, Flow-network adaptation in Physarum amoebae, Theory In Biosciences, 127, 89-94 (2008)
  15. T. Nakagaki, T. Saigusa, A. Tero and R. Kobayashi, Effects of food amount on path selection in transport network of an amoeboid organism, Topological Aspects of Critical Systems and Networks, 94-100 (2007)
  16. M. Sueda, A. Katsuki, M. Nonomura, R. Kobayashi and Y. Tanimoto, Effects of High Magnetic Field on Water Surface Phenomena, J. Phys. Chem. C, 111, 14389-14393 (2007)
  17. T. Nakagaki, M. Iima, T. Ueda, Y. Nishiura, T. Saigusa, A. Tero, R. Kobayashi and K. Showalter, Minimum-risk path finding by an adaptive amoebal network, Phys. Rev. Lett., 99, 068104 (2007)
  18. A. Tero, R. Kobayashi and T. Nakagaki, A mathematical model for adaptive transport network in path finding by the true slime mold, J. Theor. Biol., 244, 553-564 (2007)
  19. 野々村 真規子, 小林 亮, マランゴニ対流の2次元モデルで見られるパターンとダイナミクス, 応用数理, 16(3), 20-30 (2006)
  20. R. Kobayashi, A. Tero and T. Nakagaki, Mathematical model for rhythmic protoplasmic movement in the true slime mold, J. Math. Biol., 53, 273-286 (2006)
  21. A. Tero, R. Kobayashi and T. Nakagaki, Physarum solver: -a biologically inspired method of road-network navigation-, Physica A, 363, 115-119 (2006)

総説・解説・評論など

  1. 小林 亮, イグノーベル賞授賞式に行ってきました, 数学セミナー, 日本評論社 48(3), 50-51 (2009)
  2. 手老 篤史, 小林 亮, 中垣 俊之, アメーバの迷路解きに学ぼう, 数理科学, 7-11 (2008)
  3. 小林 亮, アメーバに学ぶ最短経路探索法,数学セミナー,47(5), 20-21 (2007)
  4. 小林 亮、手老 篤史、中垣 俊之, 粘菌による迷路の解法, 細胞工学, 26(7) : 769-773 (2007)
  5. 手老 篤史、中垣 俊之、小林 亮, アメーバに学ぶ経路探索の方法, Materials Integration, 20(5) : 55-60 (2007)
  6. 中垣 俊之、手老 篤史、小林 亮, 粘菌の作る輸送ネットワークのダイナミクス, 第21回生体・生理工学シンポジウム論文集, 97-100 (2006)
  7. 手老 篤史、小林 亮、中垣 俊之, 真正粘菌変形体による最適ネットワーク, 数理解析研究所講究録, 1499, 159-166 (2006)

招待講演

  1. 生物と数学とロボットと, 京都算楽会第6回研究会, 伊東市 (2010年6月)
  2. 真正粘菌の知性 - 細胞のエソロジカルダイナミクス -, 理研ASI 細胞システムコロキウム シリーズ I 「理論生物学」, 和光市 (2010年6月)
  3. 血管網形成の数理モデル, 京都大学再生医科学研究所平成21年度学術講演会, 京都大学 (2009年12月)
  4. フェーズフィールドモデルのおもしろさ, 日本機械学会第22回計算力学講演会, 金沢大学 (2009年10月)
  5. Innovations in controlling hyper-redundant and flexible systems inspired by biological locomotion, 広島大学大学院理学研究科数理分子生命理学専攻設立10周年記念シンポジウム/明治大学広島大学グローバルCOE「現象数理学の形成と発展」広島キックオフフォーラム, 広島大学 (2009年9月)
  6. アメーバ運動の数理モデル, 京都算楽会第5回研究会, 京都市 (2009年6月)
  7. A Mathematical Model of Amoeboid Locomotion”, Reaction-Diffusion Systems: Modeling and Analysis, Universite de Paris-Sud 11, Orsay, France (June, 2009)
  8. A Mathematical Model of Amoeboid Locomotion, 細胞・運動ワークショップ, 広島大学 (2009年3月)
  9. A Mathematical Model of Amoeboid Locomotion, International Conference for Nonlinear Science, Sapporo Winter School, Hokkaido University (2009年2月)
  10. アメーバ運動の数理モデル, 生命数理セミナー研究会, 北海道虻田郡 (2009年1月)
  11. アメーバ運動の数理モデル, 第46回日本生物物理学会年会, 福岡国際会議場 (2008年12月)
  12. アメーバ運動の数理モデル, 日本機械学会第21回計算力学講演会 CMD2008, 琉球大学 (2008年11月)
  13. A Mathematical Model of Amoeboid Locomotion, Mathematical Understanding of Complex Systems arising in Biology and Medicine, Meiji University (2008年10月)
  14. A Mathematical Model of Amoeboid Locomotion, 理論と実験研究会, 広島大学 (2008年10月)
  15. A Mathematical Model of Amoeboid Locomotion, 第18回日本数理生物学会大会, 京都 (2008年9月)
  16. A Mathematical Model of Amoeboid Locomotion, Dynamics Days Asia Pacific 5, Nara (2008年9月)
  17. Patterns and Computations in Biological Systems -- True Slime Mold --, Czech-Japanese Seminar in Applied Mathematics 2008, Takachiho, Miyazaki (2008年9月)
  18. A Mathematical Model of Locomoting Amoeba, The Second China-Japan Colloquium of Mathematical Biology, Okayama (2008年8月)
  19. A Biologically Motivated Shortest Path Finding Problem, 数理解析研究所研究集会, 京都 (2007年11月)
  20. Dynamical Synchronization in True Slime Mold - Maze Solving Amoeba -, The 23rd Symposium of the Society of Population Ecology "Spatial Structure and Dynamics of Ecological System", Sapporo (2007年10月)
  21. A Biologically Motivated Shortest Path Finding Algorithm, The Workshop on Mathematical Modelling and Analysis of Biological Pattern Formations and the Related Topics, Nagoya (2007年9月)
  22. A Biologically Motivated Shortest Path Finding Algorithm, Mathematical Modeling and Analysis in Biological and Chemical Systems, Orsay, France (2007年9月)
  23. 計算するアメーバ -- 真正粘菌変形体 --, 京都算楽会第3回研究会、由布市 (2007年5月)
  24. Patterns and Computations in Biological Systems -- Physarum Polycephalum --, International Workshop on Information Communication Technology, Sendai International Center (2006年12月)
  25. 真正粘菌変形体のダイナミクスと情報処理, General Topology シンポジウム, 愛媛大学 (2006年12月)
  26. 真正粘菌変形体のダイナミクスと情報処理について, 非線形現象のモデル化とその数理解析, 京都大学 (2006年11月)
  27. 真正粘菌変形体の運動と情報処理について, 盛岡応用数学小研究集会, 岩手大学 (2006年11月)
  28. 生物に学ぶ最短経路探索アルゴリズム, 九州大学生物学科フロントリサーチャー院生企画シンポジウム, 九州大学 (2006年11月)
  29. 生物における構造形成と情報処理 --- 真正粘菌をモデル生物として ---, 日本数学会秋期総合分科会, 大阪市立大学 (2006年9月)
  30. Physarum Solver - Biologically Motivated Shortest Path Finding Algorithm, Understanding and Control of Life's Function via System Biology、湘南国際村 (2006年9月)
  31. 生物に学ぶ最短経路探索アルゴリズム, 数理分子生命理学専攻第2回公開シンポジウム「生命科学と数理科学の融合」, 広島大学 (2006年8月)
  32. Modeling of the evolution of 3 Dimensional polycrystalline structures, 19th General Meeting of the International Mineralogical Association, Kobe (2006年7月)

一般講演

  1. A Mathematical Model of Locomoting Amoeba, European Conference on Mathematical and Theoretical Biology, Edinburgh, UK (2008年6,7月)
  2. A Mathematical Model of Amoeboid Locomotion, Gordon Research Conference on Mathematical Biology and Biomathematics, Barga, Italy (2008年6月)

栄 伸一郎 (研究分担者:九州地区担当)

発表論文・著書

  1. S.-I. Ei and T. Tsujikawa, The dynamics of weakly interacting fronts in an adsorbate induced phase transition model, KYBERNETIKA vol.40 (2009).
  2. S.-I. Ei, Y. Nishiura and K. Ueda, Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity, J. of Math. for Industry vol. 1, 91-95 (200).
  3. X. Chen, S.-I. Ei and M. Mimura, SELF-MOTION OF CAMPHOR DISCS -MODEL AND ANALYSIS-, NETWORKS AND HETEROGENEOUS MEDIA Volume 4, Number 1 1-18 (2009).
  4. K. Ohgane, S.-I. Ei and H. Mahara, Neuron phase shift adaptive to time delay in locomotor control, Appl. Math. Modelling 33, 797-811 (2009).
  5. S.-I. Ei, H. Ikeda and T. Kawana, Dynamics of front solutions in a specific reaction-diffusion system in one dimension, Japan J. Ind. Appl. Math. 25, 117-147 (2008).
  6. K. Ohgane and S.-I. Ei, Reinitialization in bipedal locomoter control, RIMS Kokyuroku Bessatsu B3, 207-230, (2007).
  7. 藤原毅夫、栄伸一郎, フーリエ解析+偏微分方程式, 裳華房, 198p (2007).
  8. S.-I. Ei, M. Mimura and M. Nagayama, Interacting Spots in reaction diffusion systems, Discrete Continuous Dynam. System 14, 31-62 (2006).
  9. S.-I. Ei, Dynamics of Turing Patterns for Reaction-Diffusion Systems in a Cylindrical Domain on 2D, Proceedings of Hyperbolic problems, Theory, Numerics and Applications 2004 (eds. Asakura, Aiso, Kawashima,Matsumura, Nishibata, Nishihara), 121-128, Yokohama Publishers (2006).
  10. 三村昌泰, 上山大信, 西浦廉政, 長山雅晴, 栄伸一郎, パターン形成とダイナミクス, 東京大学出版会, 149p (2006).

招待講演・口頭発表

  1. 周期軌道に対する位相方程式の導出についての考察, 第9回機械工学における力学系理論の応用に関する研究会, 慶應義塾大学理工学部 (2010年3月28~30日).
  2. The effect of boundary conditions to the pulse dynamics, ミニワークショップ「反応拡散系をめぐる最近の話題」, 京都産業大学 (2010年2月20日).
  3. The effect of boundary conditions to the dynamics of pulse solutions for reaction-diffusion systems, Changua University, Taiwan (Dec. 27, 2009).
  4. Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems, 研究集会「微分方程式の総合的研究」,東京大学大学院数理科学研究科, (2009年12月18~19日).
  5. The effect of boundary conditions to the pulse dynamics, 研究集会「第五回 非線型の諸問題」, 長崎商工会議所 (2009年9月16~18日).
  6. The effect of boundary conditions to the dynamics of pulse solutions for reaction-diffusion systems, 第34回偏微分方程式論札幌シンポジウム, 北海道大学理学部 (2009年8月24日~29日).
  7. The dynamics of boundary spikes for reaction-diffusion systems in 2D, 2nd International conference on Reaction-diffusion systems and viscosity solutions, 13-18, Department of applied mathematics, Providence University, Taiwan (July, 2009)
  8. 自己複製ダイナミクスの数理, RIMS研究集会, 散逸系の数理 -パターンを表現する漸近解の構成-, 京都大学数理解析研究所 (2009年6月24~26日).
  9. The effect of boundary conditions to the pulse dynamics, Reaction-Diffusion Systems: Modeling and Analysis ReaDiLab Conference, Orsay, France (June 2-5, 2009).
  10. Interaction of deformed pulses in two dimensional spaces, 研究集会「非線形問題に現れる特異性の解析 (SNP2008)」, 関西セミナーハウス (2008年12月1-3日).
  11. Motion of a transition layer in heterogeneous environment, 九州大学数値解析セミナー (Q-NA), KKRホテル金沢 (2008年11月17日-11月19日).
  12. The motion of a transition layer for a bistable reaction diffusion equation in one dimensional space with heterogeneous environment, Mathematical Understanding of Complex Systems arising in Biology and Medicine, CNRS Japan-France LIA ReaDiLab, 明治大学紫紺館 (2008年10月27-29日).
  13. Dynamics of Pulses Constructed by Front Interaction, NSCセミナー, 北海道大学電子科学研究所, 2008月8月11日.
  14. 周期解の位相ダイナミクスの導出法とその応用, 日本数学会応用数学特別セッション 「結合振動子系の数理」 -力学系としての構造解明と応用を目指して-, 日本数学会年会, 近畿大学本部キャンパス (2008年3月23-26日).
  15. The dynamics of spikes along boundaries in two dimensional space,「首都大学東京 数理解析小研究集会」,首都大学東京, (2008年3月7-8日).
  16. 非線形偏微分方程式系におけるマルチスケール現象の数理, 第三回 九州大学 産業技術数理研究センター ワークショップ[兼 第三回 連成シミュレーションフォーラム] 「自然現象における階層構造と数理的アプローチ」 Hierarchical Structures in Nature: how we can approach them in mathematics, 九州大学 情報基盤研究開発センター, (2008年3月6-8日).
  17. The dynamics of boundary spikes for reaction-diffusion systems in space dimension 2, 埼玉大学数学教室談話会 (2008年1月25日).
  18. Boundary spikes for reaction-diffusion systems II: Dynamics of boundary spikes, Workshop 非線形問題に現れる特異性の解析 SNP2007, 関西セミナーハウス (2007年11月26-28日).
  19. 反応拡散系におけるパターンダイナミクス, ミニシンポジウム「生物系の理論考察のための数学的手法」, 研究集会「生物数学の理論とその応用」京都大学数理解析研究所 (2007年10月29日~11月2日).
  20. The dynamics of boundary spikes for reaction-diffusion systems in space dimension 2, Mathematical modeling and analysis in biological and chemical systems, ReaDiLab Conference in Orsay & IHES, France (September 3-5, 2007).
  21. Interface Equations for Reaction-Diffusion Systems Near Critical Point, SIAM Conference on Applications of Dynamical Systems, MS70 Theory and Applications of Renormalization Group Methods, Snowbird, USA (May 28-June 1, 2006)

研究集会組織委員

  1. 「九州における偏微分方程式」研究集会 組織委員, 九州大学西新プラザ (2010年1月25 - 27日).
  2. 九州非線形偏微分方程式・冬の学校, 組織委員長, 福岡大学セミナーハウス (2009年11月6, 7日).
  3. ワークショップ「創発現象の世界」組織委員, 九州大学西新プラザ (2009年10月16, 17日).