Mathematical foundations and applications in dissipative models arising in life science

• Project/Area Number: 26287025
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Ryukoku University
• Principal Investigator: Morita Yoshihisa 龍谷大学, 理工学部, 教授 (10192783)
• Co-Investigator(Kenkyū-buntansha): 坂元 国望 広島大学, 理学研究科, 教授 (40243547) ; 村川 秀樹 九州大学, 数理学研究院, 助教 (40432116) ; 四ツ谷 晶二 龍谷大学, 理工学部, 教授 (60128361) ; 神保 秀一 北海道大学, 理学研究院, 教授 (80201565) ; 岩見 真吾 九州大学, 理学研究院, 准教授 (90518119)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥14,170,000 (Direct Cost: ¥10,900,000、Indirect Cost: ¥3,270,000); Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2015: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2014: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
• Keywords: 反応拡散系 / パターン形成 / 安定性 / 分岐解析 / 固有値比較の原理 / 細胞極性モデル / 細胞接着モデル / ウイルス感染モデル / 非線形境界条件 / 安定性解析 / 感染症モデル / 分岐構造 / 反応拡散モデル / FitzHugh-Nagumoモデル / 反応拡散方程式系 / フロント解 / 特異極限 / 散逸力学系 / 解の安定性 / 生物モデル / フロント波 / 感染モデル / FitzHugh-Nagumo方程式 / 交差拡散系 / 数理モデル

Outline of Final Research Achievements

(1) We established a mathematical method analyzing spatial patterns in some models of cell polarity. Moreover, we gave a condition allowing the instability of uniform states in a model of conserved diffusion systems coupled on the boundary. (2) We proposed a numerically efficient scheme for simulations of cell-cell adhesion model. (3) We improved an infectious model of virus by taking a delay effect into account and verified that the model matches experimental data.

Research Products

• [Int'l Joint Research] Paris-Sud University(France)
• [Int'l Joint Research] National Central University(Taiwan)
• [Int'l Joint Research] Tamkang University/National Central University/National Center for Theoretical Science(Taiwan)
• [Journal Article] Stability and spectral comparison of a reaction-diffusion system with mass conservation (2018)
  • Author(s): E. Latos, T. Suzuki, and Y. Morita
  • Journal Title: J. Dynam. Differential Equations Volume: 印刷中 Issue: 2 Pages: 823-844
  • DOI: 10.1007/s10884-018-9650-6
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A diffusion model for cell polarization with interactions on the membrane (2018)
  • Author(s): Y. Morita and K. Sakamoto
  • Journal Title: Japan J. Indust. Appl. Math. Volume: 35 Issue: 1 Pages: 261-276
  • DOI: 10.1007/s13160-017-0290-8
  • NAID: 210000174677
  • Peer Reviewed
• [Journal Article] Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation (2018)
  • Author(s): J.-L. Chern, Y. Morita, and T.-T. Shieh
  • Journal Title: J. Differential Equations Volume: 264 Issue: 2 Pages: 550-574
  • DOI: 10.1016/j.jde.2017.09.015
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Nonlocal eigenvalue problems arising in a generalized phase-field-type system (2018)
  • Author(s): S. Jimbo and Y. Morita
  • Journal Title: Japan J. Indust. Appl. Math. Volume: 34 Issue: 2 Pages: 555-584
  • DOI: 10.1007/s13160-017-0254-z
  • NAID: 210000188099
  • Peer Reviewed
• [Journal Article] An efficient linear scheme to approximate nonlinear diffusion problems (2018)
  • Author(s): H. Murakawa
  • Journal Title: Jpn. J. Ind. Appl. Math. Volume: 35(1) Issue: 1 Pages: 71-101
  • DOI: 10.1007/s13160-017-0279-3
  • Peer Reviewed
• [Journal Article] A PDE multiscale model of hepatitis C virus infection can be transformed to a system of ODEs (2018)
  • Author(s): K. Kitagawa, S. Nakaoka, Y. Asai, K. Watashi, S. Iwami
  • Journal Title: Journal of Theoretical Biology Volume: 48 Pages: 80-85
  • DOI: 10.1016/j.jtbi.2018.04.006
  • Peer Reviewed / Open Access
• [Journal Article] Sporadic on/off switching of HTLV-1 Tax expression is crucial to maintain the whole population of virus-induced leukemic cells. (2018)
  • Author(s): Mahgoub M, Yasunaga JI, Iwami S, Nakaoka S, Koizumi Y, Shimura K, Matsuoka M.
  • Journal Title: Proc Natl Acad Sci U S A Volume: 115 Issue: 6 Pages: 529-538
  • DOI: 10.1073/pnas.1715724115
  • NAID: 120006697286
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems (2017)
  • Author(s): M. Molati, H. Murakawa
  • Journal Title: Proceedings of Equadiff 2017 Conference Volume: 1 Pages: 305-314
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carbon-nanotube geometries as optimal configurations (2017)
  • Author(s): E. Mainini，H. Murakawa，P. Piovano and U. Stefanelli
  • Journal Title: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Volume: 15(4) Issue: 4 Pages: 1448-1471
  • DOI: 10.1137/16m1087862
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Vanishing, moving and immovable interfaces in fast reaction limits (2017)
  • Author(s): M. Iida, H. Monobe, H. Murakawa and H. Ninomiya
  • Journal Title: Journal of Differential Equations Volume: 印刷中 Issue: 5 Pages: 2715-2735
  • DOI: 10.1016/j.jde.2017.04.009
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] A linear finite volume method for nonlinear cross-diffusion systems (2017)
  • Author(s): H. Murakawa
  • Journal Title: Numer. Math Volume: 136 Issue: 1 Pages: 1-26
  • DOI: 10.1007/s00211-016-0832-z
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Human-specific adaptations in Vpu conferring anti-tetherin activity are critical for efficient early HIV-1 replication in vivo. (2017)
  • Author(s): Eri Yamada, Shinji Nakaoka, Lukas Klein, Elisabeth Reith, Simon Langer, Kristina Hopfensperger, Shingo Iwami, Gideon Schreiber, Frank Kirchhoff, Yoshio Koyanagi, Daniel Sauter & Kei Sato
  • Journal Title: Cell Host & Microbe Volume: 23 Issue: 1 Pages: 110-120
  • DOI: 10.1016/j.chom.2017.12.009
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Number of infection events per cell during HIV-1 cell-free infection (2017)
  • Author(s): Ito Y, Remion A, Tauzin A, Ejima K, Nakaoka S, Iwasa Y, Iwami S, Mammano F
  • Journal Title: Sci Rep Volume: 7 Issue: 1 Pages: 6559-6559
  • DOI: 10.1038/s41598-017-03954-9
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Reply to Padmanabhan and Dixit: Hepatitis C virus entry inhibitors for optimally boosting direct-acting antiviral-based treatments. (2017)
  • Author(s): Ohashi HK, Koizumi Y, Fukano K, Wakita T, Perelson AS, Iwami S, Watashi K
  • Journal Title: Proc Acad Natl Acad USA Volume: 114 Issue: 23
  • DOI: 10.1073/pnas.1705234114
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] HIV-1 competition experiments in humanized mice show that APOBEC3H imposes selective pressure and promotes virus adaptation. (2017)
  • Author(s): Yusuke Nakano, Naoko Misawa, Guillermo Juarez-Fernandez, Miyu Moriwaki, Shinji Nakaoka, Takaaki Funo, Eri Yamada, Andrew Soper, Rokusuke Yoshikawa, Diako Ebrahimi, Yuuya Tachiki, Shingo Iwami, Reuben S. Harris, Yoshio Koyanagi & Kei Sato
  • Journal Title: PLOS Pathogens Volume: 13 Issue: 5 Pages: 31-31
  • DOI: 10.1371/journal.ppat.1006348
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] A highly pathogenic simian/human immunodeficiency virus effectively produces infectious virions compared with a less pathogenic virus in cell culture (2017)
  • Author(s): Iwanami S, Kakizoe Y, Morita S, Miura T, Nakaoka S, Iwami S
  • Journal Title: Theor Biol Med Model Volume: 14 Issue: 1 Pages: 9-9
  • DOI: 10.1186/s12976-017-0055-8
  • NAID: 120006305768
  • Peer Reviewed / Open Access
• [Journal Article] A heart-brain-kidney network controls adaptation to cardiac stress through tissue macrophage activation and cellular communication (2017)
  • Author(s): Fujiu K, Shibata M, Nakayama Y, Ogata F, Matsumoto S, Noshita K, Iwami S, Nakae S, Komuro I, Nagai R, Manabe I
  • Journal Title: Nature Medicine Volume: 印刷中 Issue: 5 Pages: 611-622
  • DOI: 10.1038/nm.4326
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Secondary bifurcation for a nonlocal Allen-Cahn equation (2017)
  • Author(s): Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
  • Journal Title: Journal of Differential Equations Volume: 印刷中 Issue: 5 Pages: 2687-2714
  • DOI: 10.1016/j.jde.2017.04.010
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems (2017)
  • Author(s): J.-L. Chern, S. Yotsutani, N. Kawano
  • Journal Title: Proceedings of EQUADIFF 2017 Conference Volume: - Pages: 283-286
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Reelin transiently promotes N-cadherin-dependent neuronal adhesion during mouse cortical development (2017)
  • Author(s): Yuki Matsunaga, Mariko Noda, Hideki Murakawa, Kanehiro Hayashi, Arata Nagasaka, Seika Inoue, Takaki Miyata, Takashi Miura, Ken-ichiro Kubo, and Kazunori Nakajima
  • Journal Title: Proc. Natl. Acad. Sci. U.S.A. Volume: 114 Issue: 8 Pages: 2048-2053
  • DOI: 10.1073/pnas.1615215114
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Carbon-nanotube geometries: analytical and numerical results (2017)
  • Author(s): E. Mainini, H. Murakawa, P. Piovano and U. Stefanelli
  • Journal Title: Discrete Contin. Dyn. Syst. S Volume: 10 Issue: 1 Pages: 141-160
  • DOI: 10.3934/dcdss.2017008
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Duration of SHIV production by infected cells is not exponentially distributed: Implications for estimates of infection parameters and antiviral efficacy (2017)
  • Author(s): CA. Beauchemin, T. Miura, S. Iwami
  • Journal Title: Scientific Reports Volume: 7 Issue: 1 Pages: 42765-42765
  • DOI: 10.1038/srep42765
  • NAID: 120005997746
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Self-similar solution for a quenching problem with spatially dependent nonlinearity (2016)
  • Author(s): J.-S. Guo, Y. Morita, S. Yotsutani
  • Journal Title: Nonlinear Analysis Volume: 147 Pages: 45-62
  • DOI: 10.1016/j.na.2016.08.026
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition (2016)
  • Author(s): S. Jimbo and K. Kurata
  • Journal Title: Indiana. Univ. Math. J. Volume: 65 Issue: 3 Pages: 867-898
  • DOI: 10.1512/iumj.2016.65.5831
  • Peer Reviewed
• [Journal Article] Exact multiplicity of stationary limiting problems of a cell polarization model (2016)
  • Author(s): Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani
  • Journal Title: Discrete and Continuous Dynamical Systems Volume: 36 Issue: 10 Pages: 5627-5655
  • DOI: 10.3934/dcds.2016047
  • Peer Reviewed
• [Journal Article] Limiting Classification on Linearized Eigenvalue Problems for 1-dimensional Allen-Cahn Equation II -- Asymptotic formulas of eigenfunctions (2016)
  • Author(s): Tohru Wakasa, Shoji Yotsutani
  • Journal Title: J. Differential Equations Volume: 261 Issue: 10 Pages: 5465-5498
  • DOI: 10.1016/j.jde.2016.08.016
  • Peer Reviewed
• [Journal Article] (In)validating experimentally-derived knowledge about influenza A defective interfering particles (2016)
  • Author(s): LE. Liao, S. Iwami, CA. Beauchemin
  • Journal Title: Journal of the Royal Society Interface Volume: 13 Issue: 124 Pages: 20160412-20160412
  • DOI: 10.1098/rsif.2016.0412
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Impact of asymptomatic infections on the early spread of malaria (2016)
  • Author(s): T. Funo, H. Inaba, M. Jusup, A. Tsuzuki, N. Minakawa, S. Iwami
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: 33 Issue: 3 Pages: 671-681
  • DOI: 10.1007/s13160-016-0228-6
  • NAID: 210000176097
  • Peer Reviewed
• [Journal Article] Reaction-diffusion models with a conservation law and pattern formation (2016)
  • Author(s): Y.Morita and N. Shinjo
  • Journal Title: Josai Mathmatical Monographs Volume: 9 Pages: 177-190
  • NAID: 120005744555
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition (2016)
  • Author(s): S. Jimbo and K. Kurata
  • Journal Title: Indiana. Univ. Math. J. Volume: 印刷中
• [Journal Article] Carbon-nanotube geometries: analytical and numerical results (2016)
  • Author(s): E. Mainini, H. Murakawa, P. Piovano and U. Stefanelli
  • Journal Title: Discrete Contin. Dyn. Syst. S Volume: 印刷中
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Quantifying the effect of Vpu on the promotion of HIV-1 replication in the humanized mouse model (2016)
  • Author(s): H. Ikeda, S Nakaoka, RJ. De Boer, S. Morita, N. Misawa, Y. Koyanagi, K. Aihara, K. Sato, and S. Iwami
  • Journal Title: Retrovirology Volume: 13 Issue: 1 Pages: 28-28
  • DOI: 10.1186/s12977-016-0262-0
  • NAID: 120006353849
  • Peer Reviewed / Open Access
• [Journal Article] Dynamics of HIV infection in lymphoid tissue network (2015)
  • Author(s): Shinji Nakaoka, Shingo Iwami & Kei Sato
  • Journal Title: Journal of Mathematical Biology Volume: 72 Issue: 4 Pages: 909-938
  • DOI: 10.1007/s00285-015-0940-x
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A weakly coupled system of advection-reaction and diffusion equations in physiological gas transport (2015)
  • Author(s): Y. Morita and N. Shinjo
  • Journal Title: Japan J. Indust. Appl. Math. Volume: 32 Issue: 2 Pages: 437-463
  • DOI: 10.1007/s13160-015-0174-8
  • NAID: 210000164964
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Perturbations and dynamics of reaction-diffusion systems with mass conservation (2015)
  • Author(s): M. Kuwamura and Y. Morita
  • Journal Title: Physical Review E Volume: 92 Issue: 1 Pages: 012908-012908
  • DOI: 10.1103/physreve.92.012908
  • NAID: 120005647289
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] 変分的構造をもつ反応拡散系と安定性解析 (2015)
  • Author(s): 森田 善久
  • Journal Title: RIMS Kokyuroku Volume: 1979 Pages: 1-36
  • Open Access
• [Journal Article] Hadamard variational formula for the eigenvalue of the Stokes equations with the Dirichlet boundary conditions (2015)
  • Author(s): S. Jimbo and E. Ushikoshi
  • Journal Title: Far East J. Math. Sci. Volume: 98 Issue: 6 Pages: 713-739
  • DOI: 10.17654/fjmsnov2015_713_739
  • Peer Reviewed
• [Journal Article] Eigenvalues of the Laplacian in a domain with a thin tubular hole (2015)
  • Author(s): S. Jimbo
  • Journal Title: J. Elliptic and Parabolic Equations Volume: 1 Pages: 137-174
  • Peer Reviewed / Open Access
• [Journal Article] Continuous models for cell-cell adhesion (2015)
  • Author(s): Murakawa, H., and Togashi, H.
  • Journal Title: Journal of Theoretical Biology Volume: 374 Pages: 1-12
  • DOI: 10.1016/j.jtbi.2015.03.002
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Numerical solution of nonlinear cross-diffusion systems by a linear scheme (2015)
  • Author(s): H. Murakawa
  • Journal Title: Adv. Stud. Pure Math. Volume: 64 Pages: 243-251
  • Peer Reviewed
• [Journal Article] Comment: Dynamically rich, yet parameter-sparse models for spatial epidemiology Comment on “Coupled disease-behavior dynamics on complex networks: A review”by Z. Wang et al. (2015)
  • Author(s): M. Jusup, S. Iwami, B. Podobnik, and E. Stanley
  • Journal Title: Physics of Life Reviews Volume: 15 Pages: 43-46
  • DOI: 10.1016/j.plrev.2015.09.006
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Exploring the conserved quantity of viral infection model with periodical cell removal (2015)
  • Author(s): Y. Kakizoe, and S. Iwami
  • Journal Title: Japan J. Indust. Appl. Math. Volume: 32 Issue: 3 Pages: 1-9
  • DOI: 10.1007/s13160-015-0187-3
  • NAID: 210000180589
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Pandemic HIV-1 Vpu overcomes intrinsic herd immunity mediated by tetherin (2015)
  • Author(s): Shingo Iwami, Kei Sato, Satoru Morita, Hisashi Inaba, Tomoko Kobayashi, Junko S. Takeuchi, Yuichi Kimura, Naoko Misawa, Fengrong Ren, Yoh Iwasa, Kazuyuki Aihara & Yoshio Koyanagi
  • Journal Title: Scientific Reports Volume: 5 Issue: 1 Pages: 12256-12256
  • DOI: 10.1038/srep12256
  • NAID: 120005774579
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Quantifying the antiviral effect of IFN on HIV-1 replication in cell culture (2015)
  • Author(s): H. Ikeda, A. Godinho-Santos, S. Rato, B. Vanwalscappel, F. Clavel, K. Aihara, S. Iwami†, and F. Mammano
  • Journal Title: Scientific Reports Volume: 5 Issue: 1 Pages: 15679-15679
  • DOI: 10.1038/srep11761
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A method to determine the duration of the eclipse phase for in vitro infection with a highly pathogenic SHIV strain (2015)
  • Author(s): Y. Kakizoe, S. Nakaoka, CA. Beauchemin, S. Morita, H. Mori, T. Igarashi, K. Aihara, T. Miura, and S. Iwami
  • Journal Title: Scientific Reports Volume: 5 Issue: 1 Pages: 10371-10371
  • DOI: 10.1038/srep10371
  • NAID: 120005689172
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A conservation law for virus infection kinetics in vitro (2015)
  • Author(s): Yusuke Kakizoe, Satoru Morita, Shinji Nakaoka, Yasuhiro Takeuchi, Kei Sato, Tomoyuki Miura, Catherine A. A. Beauchemin, and Shingo Iwami
  • Journal Title: Journal of Theoretical Biology Volume: 376 Pages: 39-47
  • DOI: 10.1016/j.jtbi.2015.03.034
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Spectral comparison and gradient-like property (2015)
  • Author(s): Chao-Nien Chen, Shuichi Jimbo, and Yoshihisa Morita
  • Journal Title: Nonlinearity Volume: 28 Issue: 4 Pages: 1003-1016
  • DOI: 10.1088/0951-7715/28/4/1003
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Destabilization/Stabilization of Diffusion Systems by Diffusion and Boundary Flux (2014)
  • Author(s): K. Sakamoto
  • Journal Title: 数理解析研究所講究録 Volume: 1924 Pages: 30-54
  • Open Access
• [Journal Article] Error estimates for discrete-time approximations of nonlinear cross-diffusion systems (2014)
  • Author(s): H. Murakawa
  • Journal Title: SIAM J. Numer. Anal. Volume: 52 Issue: 2 Pages: 955-974
  • DOI: 10.1137/130911019
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium (2014)
  • Author(s): D. Hilhorst, H. Murakawa
  • Journal Title: Networks and Heterogeneous Media Volume: 9 Issue: 4 Pages: 669-682
  • DOI: 10.3934/nhm.2014.9.669
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Cross-diffusion systems: RDS approximation and Numerical analysis (2014)
  • Author(s): H. Murakawa
  • Journal Title: 数理解析研究所講究録 Volume: 1924 Pages: 21-29
  • Open Access / Acknowledgement Compliant
• [Journal Article] APOBEC3D and APOBEC3F Potently Promote HIV-1 Diversification and Evolution in Humanized Mouse Model (2014)
  • Author(s): Sato, K. Takeuchi, J. S. Misawa, N. Izumi, T. Kobayashi, T. Kimura, Y. Iwami, S. Takaori-Kondo, A. Hu, W. S. Aihara, K. Ito, M. An, D. S. Pathak, V. K. Koyanagi, Y.
  • Journal Title: PLoS Pathog Volume: 10 Issue: 10 Pages: e1004453-e1004453
  • DOI: 10.1371/journal.ppat.1004453
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Mathematical modeling of multi-drugs therapy: a challenge for determining the optimal combinations of antiviral drugs (2014)
  • Author(s): Y. Koizumi, S. Iwami
  • Journal Title: Theoretical Biology Medical Modelling Volume: 11 Issue: 1 Pages: 41-41
  • DOI: 10.1186/1742-4682-11-41
  • Peer Reviewed / Open Access
• [Journal Article] Improving the estimation of the death rate of infected cells from time course data during the acute phase of virus infections: application to acute HIV-1 infection in a humanized mouse model (2014)
  • Author(s): H. Ikeda, RJ. de Boer RJ, K. Sato, S. Morita, N. Misawa, Y. Koyanagi, K. Aihara, S. Iwami
  • Journal Title: Theoretical Biology Medical Modelling Volume: 11 Issue: 1 Pages: 22-22
  • DOI: 10.1186/1742-4682-11-22
  • Peer Reviewed / Open Access
• [Presentation] Turing-type instability of diffusion equations with mass transport through the boundary (2018)
  • Author(s): Y. Morita
  • Organizer: The Third International Conference on the Dynamics and Differential Equations: Fundamentals and Developments
  • Int'l Joint Research / Invited
• [Presentation] Entire solutions to a reaction-diffusion equation in multiple semi-infinite intervals with a junction (2018)
  • Author(s): Y. Morita
  • Organizer: International Conference on Nonlinear Analysis and its Applications
  • Int'l Joint Research / Invited
• [Presentation] Y-shaped graph and time entire solutions of a semilinear parabolic equation (2018)
  • Author(s): S. Jimbo
  • Organizer: Differential Equations and Networks
  • Int'l Joint Research / Invited
• [Presentation] Eigenvalue problem of the Laplacian in a domain with a thin tubular hole (2018)
  • Author(s): S. Jimbo
  • Organizer: The Third International Conference on the Dynamics and Differential Equations: Fundamentals and Developments-In Memory of Professor Jack K. Hale-
  • Int'l Joint Research / Invited
• [Presentation] 細胞間接着の数理モデル (2018)
  • Author(s): 村川秀樹
  • Organizer: 自己組織化研究会
  • Invited
• [Presentation] Modeling virus infection in cell culture (2018)
  • Author(s): S. Iwami
  • Organizer: Simons Semester on Mathematical Biology in Warsaw, Epi-workshop
  • Int'l Joint Research / Invited
• [Presentation] Global bifurcation and continuation for a nonlocal Allen-Cahn equation (2017)
  • Author(s): T.Tsujikawa, K.Kuto, T.Mori and S.Yotsutani
  • Organizer: MIMS International Conference on "Reaction-diffusion system, theory and applications"
  • Place of Presentation: 明治大学駿河台キャンパス
  • Year and Date: 2017-03-17
  • Int'l Joint Research / Invited
• [Presentation] Dynamical law of weakly interacting fronts in the FitzHugh-Nagumo system (2017)
  • Author(s): Y. Morita
  • Organizer: International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations
  • Int'l Joint Research / Invited
• [Presentation] Weakly interacting fronts and standing waves in the FitzHugh-Nagumo system (2017)
  • Author(s): Y. Morita
  • Organizer: Equadiff2017
  • Int'l Joint Research / Invited
• [Presentation] Localized patterns in a reaction-diffusion system with mass conservation (2017)
  • Author(s): Y. Morita
  • Organizer: Equadiff2017
  • Int'l Joint Research / Invited
• [Presentation] Fast reaction limit : classification and analysis (2017)
  • Author(s): H. Murakawa
  • Organizer: ReaDiNet 2017: International Conference on Mathematical Biology
  • Int'l Joint Research / Invited
• [Presentation] Modeling of cell-cell adhesion and its application (2017)
  • Author(s): H. Murakawa
  • Organizer: Reaction-Diffusion Systems and Mathematical Modelling in Biology
  • Int'l Joint Research / Invited
• [Presentation] Classification and analysis of fast reaction limit problems (2017)
  • Author(s): H. Murakawa
  • Organizer: Ito Workshop on Partial Differential Equations
  • Int'l Joint Research / Invited
• [Presentation] An efficient linear scheme for the Stefan problem，the porous medium equation and nonlinear cross-diffusion systems (2017)
  • Author(s): H. Murakawa
  • Organizer: Equadiff2017
  • Int'l Joint Research / Invited
• [Presentation] Numerical analysis for nonlinear diffusion problems (2017)
  • Author(s): 村川秀樹
  • Organizer: RIMS共同研究 数値解析学の最前線 - 理論・方法・応用 -
  • Invited
• [Presentation] 急速反応極限問題の分類と解析 (2017)
  • Author(s): 村川秀樹
  • Organizer: RIMS共同研究 非線形現象と反応拡散方程式
  • Invited
• [Presentation] Quantification of virus infection in cell culture (2017)
  • Author(s): S. Iwami
  • Organizer: A3-NIMS joint workshop on mathematical biology
  • Int'l Joint Research / Invited
• [Presentation] Quantifying antiviral activity optimizes drug combinations against HCV infection (2017)
  • Author(s): S. Iwami
  • Organizer: The 18th RIES-HOKUDAI international symposium
  • Int'l Joint Research / Invited
• [Presentation] HCV entry inhibitors for optimally boosting direct-acting antiviral-based treatments (2017)
  • Author(s): S. Iwami
  • Organizer: Innovative Mathematical Modeling for the Analysis of Infectious Disease Data
  • Int'l Joint Research / Invited
• [Presentation] Y-shaped graph and time entire solutions of a semilinear parabolic equation (2016)
  • Author(s): S. Jimbo
  • Organizer: Geometry of solutions of PDE's and its related inverse problem
  • Place of Presentation: 東北大学青葉山キャンパス 仙台
  • Year and Date: 2016-10-05
  • Int'l Joint Research / Invited
• [Presentation] Localized patterns in reaction-diffusion systems with conservation property (2016)
  • Author(s): Y. Morita
  • Organizer: Reaction-Diffusion Systems in Mathematics and Biomedicine
  • Place of Presentation: Villa Clythia, Frejus, France
  • Year and Date: 2016-09-19
  • Int'l Joint Research / Invited
• [Presentation] 非局所項をもつ１次元定常Allen-Cahn方程式における ２次分岐と大域的解構造 (2016)
  • Author(s): 久藤衡介, 森竜樹, 辻川亨, 四ツ谷晶二
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 関西大学 千里山キャンパス
  • Year and Date: 2016-09-15
  • Invited
• [Presentation] Localized patterns in Reaction-diffusion systems with mass conservation (2016)
  • Author(s): Y. Morita
  • Organizer: Mathematics of Pattern Formation
  • Place of Presentation: Mathematical Research and Conference Center, Bedlewo, Poland
  • Year and Date: 2016-09-12
  • Int'l Joint Research / Invited
• [Presentation] Bulk Reaction versus Boundary Flux in diffusive systems (2016)
  • Author(s): K. Sakamoto
  • Organizer: 2016年日本数理生物学会年会
  • Place of Presentation: 九州大学 伊都キャンパス
  • Year and Date: 2016-09-07
  • Invited
• [Presentation] Spectral comparison in a generalized phase-field type system (2016)
  • Author(s): Y. Morita
  • Organizer: The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Hyatt Regency Orlando, Florida, USA
  • Year and Date: 2016-07-01
  • Int'l Joint Research / Invited
• [Presentation] Cross diffusion models in population biology Dynamical Systems, Differential Equations and Applications (2016)
  • Author(s): Y. Lou, W.-M.Ni, M.Winkler and S. Yotsutani
  • Organizer: The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Hyatt Regency Orlando, Florida, USA
  • Year and Date: 2016-07-01
  • Int'l Joint Research / Invited
• [Presentation] An elementary analysis of boundary interactions and bulk diffusion systems, (2016)
  • Author(s): K. Sakamoto
  • Organizer: International Conference on Reaction Diffusion Equations and their Applications to the Life, Social and Physical Sciences
  • Place of Presentation: Renmin University of China, P.R. China
  • Year and Date: 2016-05-26
  • Int'l Joint Research / Invited
• [Presentation] Planar standing waves of the FitzHugh-Nagumo system (2016)
  • Author(s): Y. Morita
  • Organizer: 9th European Conference on Elliptic and Parabolic Problems
  • Place of Presentation: Hotel Serapo, Gaeta, Italy
  • Year and Date: 2016-05-23
  • Int'l Joint Research / Invited
• [Presentation] A modified model of cell-cell adhesion (2016)
  • Author(s): H. Murakawa
  • Organizer: ALGORITMY 2016 Conference on Scientific Computing
  • Place of Presentation: Vysoke Tatry, Podbanske
  • Year and Date: 2016-03-13
  • Int'l Joint Research / Invited
• [Presentation] Standing fronts of the FitzHugh-Nagumo system and their interacting dynamics (2016)
  • Author(s): Y. Morita
  • Organizer: Workshop on recent development in reaction-diffusion equations
  • Place of Presentation: National Taiwan University, Taiwan
  • Year and Date: 2016-02-26
  • Invited
• [Presentation] Towards understanding of cell adhesion and cell sorting (2016)
  • Author(s): H. Murakawa
  • Organizer: Groupe de Travail: Equations Elliptiques et Paraboliques non Lineaires
  • Place of Presentation: Univ. Paris-sud, France
  • Year and Date: 2016-02-15
  • Invited
• [Presentation] 細胞接着・細胞選別:モデリングと解析 (2015)
  • Author(s): 村川 秀樹
  • Organizer: Turing 機構に関連するパターンとダイナミクス
  • Place of Presentation: 広島大学
  • Year and Date: 2015-12-18
  • Invited
• [Presentation] Modeling and analysis of cell-cell adhesion (2015)
  • Author(s): H. Murakawa
  • Organizer: International conference on mathematical modeling and applications 2015 Self-Organization Modeling and Analysis
  • Place of Presentation: Meiji Univ., Japan
  • Year and Date: 2015-10-26
  • Int'l Joint Research / Invited
• [Presentation] A modified continuous model for cell-cell adhesion (2015)
  • Author(s): H. Murakawa
  • Organizer: 2015 Joint Meeting of JSMB and CJK Colloquium on Mathematical Biology
  • Place of Presentation: Doshisya Univ., Japan
  • Year and Date: 2015-08-26
  • Int'l Joint Research / Invited
• [Presentation] A linear finite volume method for nonlinear cross-diffusion systems (2015)
  • Author(s): H. Murakawa
  • Organizer: Mathematical Biology Conference on Cross-diffusion, chemotaxis, and related problems
  • Place of Presentation: KAIST, Daejeon, Korea
  • Year and Date: 2015-07-08
  • Int'l Joint Research / Invited
• [Presentation] パターン形成とダイナミクスの解を求めて (2015)
  • Author(s): 森田 善久
  • Organizer: パターン生成とダイナミクスの解構造の探求
  • Place of Presentation: 北海道大学
  • Year and Date: 2015-06-26
  • Invited
• [Presentation] 細胞接着・細胞選別の数理 (2015)
  • Author(s): 村川 秀樹
  • Organizer: パターン生成とダイナミクスの解構造の探求
  • Place of Presentation: 北海道大学
  • Year and Date: 2015-06-26
  • Invited
• [Presentation] Weakly interacting front dynamics in the FitzHugh-Nagumo system (2015)
  • Author(s): Y. Morita
  • Organizer: Asymptotic Problems: Elliptic and Parabolic Issue
  • Place of Presentation: Vilnius, Lithuania
  • Year and Date: 2015-06-01
  • Int'l Joint Research / Invited
• [Presentation] 変分的構造をもつ反応拡散系と安定性解析 (2015)
  • Author(s): 森田善久
  • Organizer: RIMS研究集会「パターン形成と界面ダイナミクスの数理」
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2015-01-06 – 2015-01-08
  • Invited
• [Presentation] 反応拡散系における保存則とパターン形成 (2014)
  • Author(s): 森田善久
  • Organizer: 2014年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学瀬田キャンパス
  • Year and Date: 2014-12-18 – 2014-12-20
  • Invited
• [Presentation] Reaction-diffusion system approximation and fast reaction limit (2014)
  • Author(s): H. Murakawa
  • Organizer: 2nd Slovak-Japan Conference on Applied Mathematics
  • Place of Presentation: Radzovce-Obrucna, Cerova vrchovina, Slovakia
  • Year and Date: 2014-09-14 – 2014-09-18
  • Invited
• [Presentation] Reaction-diffusion system approximation: Theory and Applications (2014)
  • Author(s): H. Murakawa
  • Organizer: Wayamba International Conference WinC 2014
  • Place of Presentation: Wayamba University of Sri Lanka, Kuliyapitiya, Sri Lanka
  • Year and Date: 2014-08-29 – 2014-08-30
  • Invited
• [Presentation] Mechanism-based analysis of drug combination effects on HCV replication in Huh-7 cells (2014)
  • Author(s): S. Iwami
  • Organizer: 9th European Conference on Mathematical and Theoretical Biology
  • Place of Presentation: Gothenburg, Sweeden
  • Year and Date: 2014-07-15 – 2014-07-19
  • Invited
• [Presentation] Gradient-like property and spectral comparison in a mass-conserved reaction-diffusion system (2014)
  • Author(s): Y.Morita
  • Organizer: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Universidad Autonoma de Madrid, Madrid, Spain
  • Year and Date: 2014-07-07 – 2014-07-11
  • Invited
• [Presentation] Mathematical models of cell-cell adhesion: diffusion vs. advection (2014)
  • Author(s): H. Murakawa
  • Organizer: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Universidad Autonoma de Madrid, Madrid, Spain
  • Year and Date: 2014-07-07 – 2014-07-11
  • Invited
• [Presentation] Semilinear and linear approximations to nonlinear diffusion problems (2014)
  • Author(s): H. Murakawa
  • Organizer: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Universidad Autonoma de Madrid, Madrid, Spain
  • Year and Date: 2014-07-07 – 2014-07-11
  • Invited
• [Presentation] Existence and stability of standing wavefronts in FitzHugh-Nagumo equations (2014)
  • Author(s): Y. Morita
  • Organizer: 8th European Conference on Elliptic and Parabolic Problems
  • Place of Presentation: Hotel Serapo, Gaeta, Italy
  • Year and Date: 2014-05-26 – 2014-05-30
  • Invited
• [Presentation] Eigenvalues of the Laplacian in a domain with a thin tubular hole (2014)
  • Author(s): S. JIMBO
  • Organizer: 8th European Conference on Elliptic and Parabolic Problems
  • Place of Presentation: Hotel Serapo, Gaeta, Italy
  • Year and Date: 2014-05-26 – 2014-05-30
  • Invited