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New modeling and mathematical analysis for pattern formations in life sciences

Research Project

Project/Area Number 18H01139
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionRyukoku University

Principal Investigator

森田 善久  龍谷大学, 先端理工学部, 教授 (10192783)

Co-Investigator(Kenkyū-buntansha) 宮路 智行  京都大学, 理学研究科, 准教授 (20613342)
村川 秀樹  龍谷大学, 先端理工学部, 准教授 (40432116)
李 聖林  広島大学, 統合生命科学研究科(理), 教授 (50620069)
神保 秀一  北海道大学, 理学研究院, 教授 (80201565)
岩見 真吾  名古屋大学, 理学研究科, 教授 (90518119)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Granted (Fiscal Year 2021)
Budget Amount *help
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2021: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2020: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Keywordsパターン形成 / 安定性解析 / 細胞極性モデル / 分岐解析 / 数値シミュレーション / 反応拡散方程式系 / フロント波の伝播 / 細胞接着モデル / ウィルス感染モデル / 特異極限 / 数理モデル / 数理シミュレーション / チューリング不安定性 / 反応拡散方程式 / Turing不安定性
Outline of Annual Research Achievements

以下のような成果を上げた.1) 非対称細胞分裂は特徴的なタンパク質が局在化によって起こることが知られており,細胞膜と細胞質との物質のやりとりを記述する通常の反応拡散系によるモデルと,細胞質と細胞膜での物質の拡散をそれぞれ記述したバルク表面拡散モデルが提案されている.代表者の森田と分担者の李は,これらの2つのモデルが数学的に共通の構造を持っていることを明らかにし,極性が発現し安定な局在領域が存在するパラメータの条件を与えた.その議論の過程で新しいタイプの非局所項を持つ方程式系を導出した.2) 森田と分担者の神保は,非有界な星状領域において反応拡散方程式のフロント波の伝播を特徴付ける全域解の研究を行った.ジャンクションの影響で伝播がブロックされる現象がこれまでの研究で知られていたが,ジャンクションから遠く離れると,フロント波の形状に復元することを証明した.この研究は,複雑な領域におけるフロント伝播を研究する成果として位置づけることができ,今後生物現象に関連した問題にも応用できることが期待できる.3) 森田は共同研究者と,旧石器時代の狩猟採取社会の人口分布の変遷を記述する反応拡散系のモデルについて研究し,特異極限でモデル方程式を単純化する近似が数学的に正当化されることを証明した.この手法は他の反応拡散系のモデルの解析にも応用できる成果である.4) 分担者の村川は拡散方程式系の急速反応極限の特異極限問題の研究で新しい定理を証明した.5)分担者の宮路は,モデル方程式の力学系について,数値近似の位相計算によってモース分解を調べる方法を提案した.6)分担者の岩見は,分子生物学者と共同で,細胞のウィルス感染した場合に観測される特異なタンパク質の発現のメカニズムについて数理的な観点から検証する方法を発展させた.この研究は,感染モデルの改良につながる成果として期待できる.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

研究課題の具体的な問題として設定していた細胞極性モデルのパターン形成に関する数学解析が進んだ.反応拡散系の特異極限の問題でも成果が得られている.星状領域における反応拡散方程式のフロント波の伝播の研究も進み,さらに複雑な領域での研究につながる成果が得られている.このように,多数の結果が成果として得られており,順調に研究は進んでいる.

Strategy for Future Research Activity

複雑な領域における反応拡散モデルのフロントパターンの伝播に関する研究を進め,この方面の解析的な手法を発展させることで,生物モデルのパターンの伝播に関する理解を深める.また,細胞極性モデルにおいてさらに数学解析を発展させる.ウィルス感染の研究では,感染が空間的に伝播する現象に取り組む.効果的な研究打合せと,セミナーや研究会を通して情報交換と議論を進めていく.また,成果の公表にも積極的に取り組む.

Report

(3 results)
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report

Research Products

(90 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (4 results) Journal Article (41 results) (of which Int'l Joint Research: 18 results,  Peer Reviewed: 38 results,  Open Access: 19 results) Presentation (44 results) (of which Int'l Joint Research: 31 results,  Invited: 36 results) Remarks (1 results)

  • [Int'l Joint Research] University of Graz(オーストリア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Univ. Paris-Sud(フランス)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Graz(オーストリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Univ. Paris-Sud(フランス)

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph2021

    • Author(s)
      S. Jimbo, Y. Morita
    • Journal Title

      Discrete and Contin. Dyn. Syst.

      Volume: 41(9) Pages: 4013-4039

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Long time behavior and stable patterns in high-dimensional polarity models of asymmetric cell division2021

    • Author(s)
      Y. Morita, S. Seirin-Lee
    • Journal Title

      J. Math. Biol.

      Volume: 82,66

    • DOI

      10.1007/s00285-021-01619-w

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Singular limit for a reaction-diffusion-ODE system in a neolithic transition model2021

    • Author(s)
      J. Elias, D. Hilhorst, M. Mimura, Y. Morita
    • Journal Title

      J. Differential Equations

      Volume: 295 Pages: 39-69

    • DOI

      10.1016/j.jde.2021.05.044

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Role of Cytoplasmic MEX-5/6 Polarity in Asymmetric Cell Division2021

    • Author(s)
      Seirin-Lee Sungrim
    • Journal Title

      Bull. Math. Biol.

      Volume: 83 Pages: 1-27

    • DOI

      10.1007/s11538-021-00860-0

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Fast reaction limit of reaction-diffusion systems2021

    • Author(s)
      H. Murakawa
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 14(3) Pages: 1047-1062

    • DOI

      10.3934/dcdss.2020405

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computing Morse decomposition of ODEs via Runge-Kutta method2021

    • Author(s)
      Y. Chiba, T. Miyaji, T. Ogawa
    • Journal Title

      JSIAM Letters

      Volume: 13 Issue: 0 Pages: 40-43

    • DOI

      10.14495/jsiaml.13.40

    • NAID

      130008070959

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A quantitative model used to compare within-host SARS-CoV-2, MERS-CoV and SARS-CoV dynamics provides insights into the pathogenesis and treatment of SARS-CoV-22021

    • Author(s)
      K.S. Kim, K. Ejima, S. Iwanami, Y. Fujita, H. Ohashi, Y. Koizumi, Y. Asai, S. Nakaoka, K. Watashi, K. Aihara, R.N. Thompson, R. Ke, A.S. Perelson and S. Iwami.
    • Journal Title

      PLOS Biology

      Volume: 19 Pages: 3001128-3001128

    • DOI

      10.1371/journal.pbio.3001128

    • NAID

      120006997052

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Quantifying antiviral effects against simian/human immunodeficiency virus induced by host immune response2021

    • Author(s)
      T. Oda, K.S. Kim, Y. Fujita, Y. Ito, T. Miura, S. Iwami.
    • Journal Title

      J. Theor. Biol.

      Volume: 509 Pages: 110493-110493

    • DOI

      10.1016/j.jtbi.2020.110493

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Required concentration index quantifies effective drug combinations against hepatitis C virus infection2021

    • Author(s)
      Kakizoe Yusuke、Koizumi Yoshiki、Ikoma Yukino、Ohashi Hirofumi、Wakita Takaji、Iwami Shingo、Watashi Koichi
    • Journal Title

      Theoretical Biology and Medical Modelling

      Volume: 18 Pages: 4-4

    • DOI

      10.1186/s12976-020-00135-6

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations and nonlinear cross-diffusion systems2020

    • Author(s)
      Rafael Bailo, Jose A. Carrillo, Hideki Murakawa and Markus Schmidtchen
    • Journal Title

      Math. Models Methods Appl. Sci.

      Volume: 30(13) Pages: 2487-2522

    • DOI

      10.1142/s0218202520500487

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 細胞接着パターンの数理解析に向けて2020

    • Author(s)
      村川秀樹
    • Journal Title

      数理解析研究所講究録

      Volume: 2166 Pages: 17-21

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 細胞間接着の数理モデルとその応用2020

    • Author(s)
      村川秀樹
    • Journal Title

      数理解析研究所講究録

      Volume: 2165 Pages: 100-104

    • Related Report
      2020 Annual Research Report
  • [Journal Article] T. Honda. Modeling Borna disease virus in vitro spread reveals the mode of antiviral effect conferred by an endogenous bornavirus-like element2020

    • Author(s)
      K.S. Kim, Y. Yamamoto, S. Nakaoka, K. Tomonaga, S. Iwami,
    • Journal Title

      J Virol.

      Volume: -

    • DOI

      10.1128/jvi.01204-20

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modeling the efficiency of filovirus entry into cells in vitro: Effects of SNP mutations in the receptor molecule2020

    • Author(s)
      K.S. Kim, T. Kondoh, Y. Asai, A. Takada, S. Iwami.
    • Journal Title

      PLOS Computational Biology

      Volume: 16

    • DOI

      10.1371/journal.pcbi.1007612

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantifying the antiviral effect of APOBEC3 on HIV-1 infection in humanized mouse model2020

    • Author(s)
      Tatsuya Kurusu, Kwang Su Kim, Yoshiki Koizumi, Shinji Nakaoka, Keisuke Ejima, Naoko Misawa, Yoshio Koyanagi, Kei Sato, Shingo Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 498 Pages: 110295-110295

    • DOI

      10.1016/j.jtbi.2020.110295

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Should a viral genome stay in the host cell or leave? A quantitative dynamics study of how hepatitis C virus deals with this dilemma2020

    • Author(s)
      S. Iwanami, K. Kitagawa, H. Ohashi, Y. Asai, K. Shionoya, W. Saso, K. Nishioka, H. Inaba, S. Nakaoka, T. Wakita, O. Diekmann, S. Iwami and K. Watashi
    • Journal Title

      PLOS Biology

      Volume: 18(7) Pages: 3000562-3000562

    • DOI

      10.1371/journal.pbio.3000562

    • NAID

      120006872724

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Entire solutions of the Fisher-KPP equation on the half line2020

    • Author(s)
      LOU BENDONG、LU JUNFAN、MORITA YOSHIHISA
    • Journal Title

      Euro. J. Appl. Math.

      Volume: - Pages: 1-16

    • DOI

      10.1017/s0956792519000093

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Turing type instability in a diffusion model with mass transport on the boundary2020

    • Author(s)
      Morita Yoshihisa、Kunimochi Sakamoto
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 40 Pages: 3813-3836

    • DOI

      10.3934/dcds.2020160

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymmetric cell division from a cell to cells: Shape, length, and location of polarity domain2020

    • Author(s)
      Seirin‐Lee Sungrim
    • Journal Title

      Development, Growth & Differentiation

      Volume: 62 Pages: 188-195

    • DOI

      10.1111/dgd.12652

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell.2020

    • Author(s)
      Seirin-Lee S, Sukekawa T, Nakahara T, Ishii H, Ei SI
    • Journal Title

      Journal of Mathematical Biology

      Volume: 1 Pages: 1885-1917

    • DOI

      10.1007/s00285-020-01484-z

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A Single Reaction-Diffusion Equation for the Multifarious Eruptions of Urticaria2020

    • Author(s)
      Seriri Lee, Yanase Y, Takahagi S, Hide M
    • Journal Title

      PLOS Computational Biology

      Volume: 16

    • DOI

      10.1371/journal.pcbi.1007590

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The machinery for endocytosis of epidermal growth factor receptor coordinates the transport of incoming hepatitis B virus to the endosomal network.2020

    • Author(s)
      Iwamoto M, Saso W, Nishioka K, Ohashi H, Sugiyama R, Ryo A, Ohki M, Yun JH, Park SY, Ohshima T, Suzuki R, Aizaki H, Muramatsu M, Matano T, Iwami S, Sureau C, Wakita T, Watashi K
    • Journal Title

      Journal of Biological Chemistry

      Volume: 295 Pages: 800-807

    • DOI

      10.1074/jbc.ac119.010366

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-section2020

    • Author(s)
      JIMBO Shuichi、RODR?GUEZ MULET Albert
    • Journal Title

      J. Math. Soc. Japan

      Volume: 72 Issue: 1 Pages: 119-154

    • DOI

      10.2969/jmsj/81198119

    • NAID

      130007789866

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Role of dynamic nuclear deformation on genomic architecture reorganization2019

    • Author(s)
      Seirin-Lee Sungrim、Osakada Fumitaka、Takeda Junichi、Tashiro Satoshi、Kobayashi Ryo、Yamamoto Takashi、Ochiai Hiroshi
    • Journal Title

      PLoS Comput Biol.

      Volume: 15 Pages: 1007289-1007289

    • DOI

      10.1371/journal.pcbi.1007289

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] N-Cadherin Orchestrates Self-Organization of Neurons within a Columnar Unit in the Drosophila Medulla2019

    • Author(s)
      Trush Olena、Liu Chuyan、Han Xujun、Nakai Yasuhiro、Takayama Rie、Murakawa Hideki、Carrillo Jose A.、Takechi Hiroki、Hakeda-Suzuki Satoko、Suzuki Takashi、Sato Makoto
    • Journal Title

      Journal of Neuroscience

      Volume: 39 Pages: 5861-5880

    • DOI

      10.1523/jneurosci.3107-18.2019

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation2019

    • Author(s)
      Jose A Carrillo, Hideki Murakawa, Makoto Sato, Hideru Togashi, Olena Trush
    • Journal Title

      J. Theor. Biol.

      Volume: 474 Pages: 14-24

    • DOI

      10.1016/j.jtbi.2019.04.023

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Revealing uninfected and infected target cell dynamics from peripheral blood data in highly and less pathogenic simian/human immunodeficiency virus infected Rhesus macaque2019

    • Author(s)
      A. Hara, S. Iwanami, Y. Ito, T. Miura, S. Nakaoka and S. Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 479 Pages: 29-36

    • DOI

      10.1016/j.jtbi.2019.07.005

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Entire solutions to reaction-diffusion equations in multiple half-lines with a junction2019

    • Author(s)
      Jimbo Shuichi、Morita Yoshihisa
    • Journal Title

      J. Differential Equations

      Volume: 267 Pages: 1247-1276

    • DOI

      10.1016/j.jde.2019.02.008

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-section2019

    • Author(s)
      Shuichi JIMBO, Albert Rodriguez Mulet
    • Journal Title

      J. Math. Soc. Japan

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach2019

    • Author(s)
      M. Molati and H. Murakawa
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 67 Pages: 253-263

    • DOI

      10.1016/j.cnsns.2018.06.024

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Epidermal growth factor receptor is a host entry cofactor triggering hepatitis B virus internalization2019

    • Author(s)
      M. Iwamoto, W. Saso, R. Sugiyama, K. Ishii, M. Ohki, S. Nagamori, R. Suzuki, H. Aizaki, A. Ryo, J-H Yun, S-Y Park, N. Ohtani, M. Muramatsu, S. Iwami, Y. Tanaka, C. Sureau, T. Wakita and K. Watashi
    • Journal Title

      Proc Natl Acad Sci USA

      Volume: 116 Pages: 8487-8492

    • DOI

      10.1073/pnas.1811064116

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection2019

    • Author(s)
      Kitagawa K., Kuniya T., Nakaoka S., Asai Y., Watashi K. and Iwami S.
    • Journal Title

      Bull Math Biol

      Volume: 81(5) Pages: 1427-1441

    • DOI

      10.1007/s11538-018-00564-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Quantitative immunology by data analysis using mathematical models2019

    • Author(s)
      S. Iwanami and S. Iwami
    • Journal Title

      Reference Module in Life Sciences

      Volume: 2 Pages: 984-992

    • DOI

      10.1016/b978-0-12-809633-8.20250-1

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Human photoplethysmogram through the Morse graph: Searching for the saddle point in experimental data2019

    • Author(s)
      Miyaji Tomoyuki、Sviridova Nina、Aihara Kazuyuki、Zhao Tiejun、Nakano Akimasa
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 29 Pages: 043121-043121

    • DOI

      10.1063/1.5088989

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stability and spectral comparison of a reaction-diffusion system with mass conservation2018

    • Author(s)
      E. Latos, T. Suzuki, and Y. Morita
    • Journal Title

      J. Dyn. Diff. Equat.

      Volume: 印刷中 Pages: 823-844

    • DOI

      10.1007/s10884-018-9650-6

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical analysis for nonlinear diffusion problems2018

    • Author(s)
      村川秀樹
    • Journal Title

      数理解析研究所講究録

      Volume: 2094 Pages: 16-25

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Malaria incidences in South Africa linked to a climate mode in southwestern Indian Ocean2018

    • Author(s)
      SK. Behera, Y. Morioka, T. Ikeda, T. Doi, JV. Ratnam, M. Nonaka, A. Tsuzuki, C. Imai, Y. Kim, M. Hashizume, S. Iwami, P. Kruger, R. Maharaj, N. Sweijd and N. Minakawa
    • Journal Title

      Environmental Development

      Volume: 27 Pages: 47-57

    • DOI

      10.1016/j.envdev.2018.07.002

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamics of HIV-1 coinfection in different susceptible target cell populations during cell-free infection2018

    • Author(s)
      Y. Ito, A. Tauzin, A. Remion, K. Ejima, F. Mammano and S. Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 455 Pages: 39-46

    • DOI

      10.1016/j.jtbi.2018.06.025

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A PDE multiscale model of hepatitis C virus infection can be transformed to a system of ODEs2018

    • Author(s)
      K. Kitagawa, S. Nakaoka, Y. Asai, K. Watashi, S. Iwami
    • Journal Title

      J Theor Biol

      Volume: 48 Pages: 80-85

    • DOI

      10.1016/j.jtbi.2018.04.006

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dynamics of Localized Unimodal Patterns in Reaction-Diffusion Systems for Cell Polarization by Extracellular Signaling2018

    • Author(s)
      Kuwamura Masataka、Seirin-Lee Sungrim、Ei Shin-ichiro
    • Journal Title

      SIAM J. on Applied Mathematics

      Volume: 78 Pages: 3238-3257

    • DOI

      10.1137/18m1163749

    • NAID

      120006550254

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Phase Field Method and Its Application to Biology2018

    • Author(s)
      LEE S. Seirin、KOBAYASHI Ryo
    • Journal Title

      Biophysics

      Volume: 58 Issue: 4 Pages: 216-219

    • DOI

      10.2142/biophys.58.216

    • NAID

      130007420532

    • ISSN
      0582-4052, 1347-4219
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] 反応拡散系とパターン形成 -制約によって見える新たな解構造-2021

    • Author(s)
      森田善久
    • Organizer
      日本数学会2021年度年会 企画特別講演
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 無限星状グラフにおける反応拡散方程式のフロント波の伝播とブロッキング2021

    • Author(s)
      森田善久
    • Organizer
      北陸応用数理2021
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Singular deformation of domains and several spectral problems2021

    • Author(s)
      S. Jimbo
    • Organizer
      Mini-courses in Mathematical Analysis (Padova University)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 上皮組織形成の数理モデルと数値解法2021

    • Author(s)
      村川秀樹
    • Organizer
      日本数学会2021年度年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Segregation pattern in a mathematical model of cell polarity2020

    • Author(s)
      Y.Morita
    • Organizer
      The Eighth Pacific Rim Conference in Mathematics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Phase separation model for chromatin reorganization of eukaryotic cell nuclei2020

    • Author(s)
      S. Seirin-Lee
    • Organizer
      JSPS core-to-core program conference for Establishing International Research Network of Mathematical Oncology, Fusion of Mathematics and Biology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] How the cell uses mathematics for asymmetry2020

    • Author(s)
      李聖林
    • Organizer
      日本分子生物学会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 感覚器におけるモザイク様細胞パターン形成の数理モデルと数値解法2020

    • Author(s)
      村川秀樹
    • Organizer
      2020年度応用数学合同研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 細胞選別現象の解明に向けた数理モデリングとその解析2020

    • Author(s)
      村川秀樹
    • Organizer
      楕円型・放物型微分方程式研究集会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Mathematical models of cell-cell adhesion: macro- and microscopic perspectives2020

    • Author(s)
      H. Murakawa
    • Organizer
      Micro-to-Macro Modelling in Developmental Biology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線形非局所Fokker-Planck型方程式に対するエネルギー散逸有限体積スキーム2020

    • Author(s)
      村川秀樹
    • Organizer
      2020年度秋季総合分科会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 力学系に対する位相的計算法とその応用2020

    • Author(s)
      宮路智行
    • Organizer
      大阪大学MMDモデリング部門主催ワークショップ 工学と数学の接点を求めて
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Runge-Kutta法によるMorse分解の近似計算2020

    • Author(s)
      宮路智行
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Pattern formation in reaction-diffusion models with mass conservation law2019

    • Author(s)
      Yoshihisa Morita
    • Organizer
      Workshop on emerging areas in reaction-diffusion systems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Blocking of propagation in a bistable reaction-diffusion equation in a star a graph2019

    • Author(s)
      Yoshihisa Morita
    • Organizer
      International Conference on Elliptic and Parabolic Problems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Patterns induced by diffusion in reaction-diffusion systems with mass conservation2019

    • Author(s)
      Yoshihisa Morita
    • Organizer
      9th International Congress on Industrial and Applied Mathematics - ICIAM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time entire solution of the Allen-Cahn equation in the star graph2019

    • Author(s)
      神保 秀一
    • Organizer
      日本数学会(企画特別講演)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Y-shaped graph and time entire solutions of the Allen-Cahn equation2019

    • Author(s)
      Shuichi Jimbo
    • Organizer
      Workshop on New Trends in Variational Models
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Application of A Topological Computation Method to Biomedical Signals2019

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      大阪大学MMDS主催ワークショップ「工学と数学との接点を求めて」
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A population dynamics model of cell-cell adhesion and its numerical analysis2019

    • Author(s)
      Hideki Murakawa
    • Organizer
      European Numerical Mathematics and Advanced Applications Conference 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Modeling and numerical analysis for cell-cell adhesion2019

    • Author(s)
      Hideki Murakawa
    • Organizer
      9th International Congress on Industrial and Applied Mathematics - ICIAM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] How IFN-α changes cccDNA decay rate in HBV infection2019

    • Author(s)
      Shingo Iwami
    • Organizer
      The 4th Workshop on Virus Dynamics in Paris
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modeling and quantifying virus dynamics in cell culture2019

    • Author(s)
      Shingo Iwami
    • Organizer
      9th International Congress on Industrial and Applied Mathematics - ICIAM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Turing-type instability in coupled equations of bulk and lateral diffusions2018

    • Author(s)
      Y. Morita
    • Organizer
      ReaDiNet2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions to reaction-diffusion equations in a domain of star graph2018

    • Author(s)
      Y. Morita
    • Organizer
      The 43rd Sapporo Symposium on Partial Differential Equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions of reaction-diffusion equations in multiple semi-infinite intervals with a junction2018

    • Author(s)
      Y. Morita
    • Organizer
      Infinite Dimensional and Stochastic Dynamical Systems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Turing-type instability of diffusion equations with mass transport through the boundary2018

    • Author(s)
      Y. Morita
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions to a reaction-diffusion equation in a domain of half-lines with a junction2018

    • Author(s)
      Y. Morita
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Y-shaped graph and time entire solutions of a semilinear parabolic equation2018

    • Author(s)
      神保秀一
    • Organizer
      RIMS研究集会ー反応拡散方程式 -- 伝播現象と特異性の解析および諸科学への応用
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] A population dynamics model of cell-cell adhesion and its applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Applications of a population dynamics model of cell-cell adhesion2018

    • Author(s)
      H. Murakawa
    • Organizer
      Journee d'Analyse Non Lineaire
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An efficient linear scheme for nonlinear diffusion problems2018

    • Author(s)
      H. Murakawa
    • Organizer
      The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A continuous model of cell-cell adhesion and its applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A mathematical model of cell-cell adhesion and its application2018

    • Author(s)
      H. Murakawa
    • Organizer
      The 12th AIMS Conference on Dynamical Systems,Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical Modeling of Cell-cell Adhesion and its Applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Joint Annual Meeting of 70th JSCB and 51st JSDB
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 細胞間接着の数理モデルとその応用2018

    • Author(s)
      村川秀樹
    • Organizer
      第15回 生物数学の理論とその応用 --次世代の数理科学への展開--
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Mathematical modeling of cell-cell adhesion and its applications2018

    • Author(s)
      村川秀樹
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Quantifying antiviral activity optimizes drug combinations against hepatitis C virus infection2018

    • Author(s)
      S. Iwami
    • Organizer
      ECMTB2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] PKPDVD modeling for multi-drug treatment on HCV infection2018

    • Author(s)
      S. Iwami
    • Organizer
      KSIAM2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Characterizing SHIV infection in vitro and in vivo2018

    • Author(s)
      S. Iwami
    • Organizer
      2018 Annual Meeting of JSMB & SMB
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multifarious Eruptions of Urticaria Solved by A Simple Mathematical Equation2018

    • Author(s)
      S. Seiren-Lee
    • Organizer
      A3 international meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pattern formation induced by a domain deformation2018

    • Author(s)
      S. Seirin-Lee
    • Organizer
      ECMTB2018 conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shape, length and location of PAR polarity in asymmetric cell division2018

    • Author(s)
      S. Seirin-Lee
    • Organizer
      2018 Annual Meeting of JSMB & SMB
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Cell, shape, pattern formation, and the modeling tool for describing all of them2018

    • Author(s)
      S. Seirin-Lee
    • Organizer
      he 3rd A3 international workshop on mathematical and life sciences
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Remarks] 森田善久の個人ページ

    • URL

      https://www.math.ryukoku.ac.jp/~morita/index_research.html

    • Related Report
      2020 Annual Research Report

URL: 

Published: 2018-04-23   Modified: 2022-12-28  

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