北海道大学電子科学研究所　附属社会創造数学研究センター　人間数理研究分野

人間数理研究分野全体
研究成果
■Research Papers

2024年度

[Masaharu NAGAYAMA]

K. Xiong, M. Nagayama, K. Ijiro and H. Mitomo, Fair Surface Modification with Mixed Alkanethiols on Gold Nanoparticles through Minimal Unfair Ligand Exchange, to appear in Nanoscale Adv., 2024, DOI: 10.1039/D4NA00270A

[Junyong EOM]

Junyong Eom, Won-Kwang Park, Real-time detection of small objects in transverse electric polarization: Evaluations on synthetic and experimental datasets, AIMS Mathematics 9z(8) , 2024 DOI: 10.3934/math.20241104

[Gen NAKAMURA]

H.Itou, V.A. Kovtunenko, G.Nakamura, Forward and inverse problems for creep models in viscoelasticity, Phil. Trans. R. Soc. A 382: 20230295, DOI: https://doi.org/10.1098/rsta.2023.0295

2023年度

[Junyong EOM]

Junyong Eom, Gen Nakamura, Goro Nishimura, Chunlong Sun, Local analysis for locating a single point target in time-domain fluorescence diffuse optical tomography, Differential Integral Equations 37(1/2): 27-58 (January/February 2024). DOI: 10.57262/die037-0102-27

Junyong Eom, Manabu Machida, Gen Nakamura, Goro Nishimura, C. L. Sun, Expressions of the peak time for time-domain boundary measurements of diffuse light, Journal of Mathematical Physics, (2023) DOI: 10.1063/5.0081169

Shuli Chen, Junyong Eom, Gen Nakamura, Goro Nishimura, Approximate peak time and its application to time-domain fluorescence diffuse optical tomography, Communications on Analysis and Computation, (2023) DOI: 10.3934/cac.2023019

Junyong Eom, Gen Nakamura, Goro Nishimura, C. L. Sun, Local analysis for locating a single point target in time-domain fluorescence diffuse optical tomography, Differential and Integral Equations, (2024) DOI: 10.57262/die037-0102-27

[Keiichiro KAGAWA]

Ken Yamamoto, Seiya Uezu, Keiichiro Kagawa, Yoshihiro Yamazaki, Takuma Narizuka, Statistical analysis of player and team ball possession time in football, to be published in Phys. Rev. E. arXiv:2308.05460

[Shinya UCHIUMI]

Masahisa Tabata, Shinya Uchiumi, Behavior of Lagrange-Galerkin solutions to the Navier-Stokes problem for small time increment, Numerical Methods for Partial Differential Equations, 39(6), 4295–4316, Nov. 2023.

[Gen NAKAMURA]

J. Eom, G. Nakamura, G. Nishimura, C. Sun, Local analysis for locating a single point target in time-domain fluorescence diffuse optical tomography, Differential and Integral Equations, 37 (2024) pp. 27-58

S. Chen, G. Nakamura, H. Wang, Simultaneously identifying piecewise smooth conductivity and initial value for a heat conduction equation, Inverse Problems and Imaging (2024)

Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin, Gen Nakamura, Resolvent estimates for viscoelastic systems of extended Maxwell type and their applications (2024), Accepted to SIAM J. Math. Analysis

[ Yasumasa NISHIURA]

Edgar Avalos, Takashi Teramoto, Yutaro Hirai, Hiroshi Yabu, and Yasumasa Nishiura, Controlling the Formation of Polyhedral Block Copolymer Nanoparticles: Insights from Process Variables and Dynamic Modeling,ACS Omega Article ASAP　(2024) 9, 17276–17288, DOI: 10.1021/acsomega.3c10302

Yasumasa Nishiura, Takashi Teramoto, and Kei-Ichi Ueda, Arbitrarily weak head-on collision can induce annihilation — The role of hidden instabilities, Https://doi.org/10.48550/arXiv.2306.06421

[Yueyuan GAO]

Yueyuan Gao, Natsuhiko Yoshinaga,　Inverse problems of inhomogeneous fracture toughness using phase-field models,Physica D: Nonlinear Phenomena, DOI::10.1016/j.physd.2023.133734,　Jun.2023.

2022年度

[ Masaharu NAGAYAMA]

Keisuke Imafuku, Hiroaki Iwata, Ken Natsuga, Makoto Okumura, Yasuaki Kobayashi, Hiroyuki Kitahata, Akiharu Kubo, Masaharu Nagayama, Hideyuki Ujiie, “Zonula occludens‐1 distribution and barrier functions are affected by epithelial proliferation and turnover rates“, Cell Proliferation e13441 (2023)

[Yasuaki KOBAYASHI]

[ Yikan LIU ]

Xinchi Huang, Yikan Liu, Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations, Practical Inverse Problems and Their Prospects, Mathematics for Industry, 37, Springer, Singapore, accepted, 2023. arXiv: 2209.14762

Yikan Liu, Masahiro Yamamoto, Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time, Practical Inverse Problems and Their Prospects, Mathematics for Industry, 37, Springer, Singapore, accepted, 2023. arXiv: 2209.04122

Yavar Kian, Yikan Liu, Masahiro Yamamoto, Uniqueness of inverse source problems for general evolution equations, Commun. Contemp. Math., accepted, 2023. doi: 10.1142/S0219199722500092

Zhiyuan Li, Xinchi Huang, Yikan Liu, Well-posedness for coupled systems of time-fractional diffusion equations, Fract. Calc. Appl. Anal., 26(2), 2023, 533–566. doi: 10.1007/s13540-023-00149-0

Yikan Liu, Masahiro Yamamoto, Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior, Inverse Problems, 39(2), 2023, 024003 (28pp). doi: 10.1088/1361-6420/acab7a

Zhiyuan Li, Yikan Liu, Masahiro Yamamoto, Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions, Inverse Probl. Imaging, 17(1), 2023, 1–22. doi: 10.3934/ipi.2022027

[Yueyuan Gao]

Danielle Hilhorst, Florian Salin, Victor Schneider, Yueyuan Gao, Lecture notes on the singular limit of reaction-diffusion systems, Interdisciplinary Information Sciences,Nov.2022,

Reika Fukuizumi, Yueyuan Gao, Guido Schneider, Motomitsu Takahashi, Pattern formation in 2D stochastic anisotropic Swift-Hohenberg equation, Interdisciplinary Information Sciences (IIS), Graduate School of Information Sciences, Tohoku University, arXiv:2212.00976 ,Sept.2022

[Makoto Okumura]

Makoto Okumura, Takeshi Fukao, Daisuke Furihata, Shuji Yoshikawa、A second-order accurate structure-preserving scheme for the Cahn-Hiliard equation with a dynamic boundary condition, Commun. Pure Appl. Anal., 21 (2022), 355-392, February 2022, 21(2): 355-392. DOI: 10.3934/cpaa.2021181

[Junyong EOM]

Junyong Eom, Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data, J. Math. Anal. Appl., (2023) DOI: 10.1016/j.jmaa.2022.126625

[Gen NAKAMURA]

Sun Shiwei; Nakamura Gen; Wang Haibing, Numerical studies of domain sampling methods for inverse boundary value problems by one measurement, Journal of Computational Physics, 485 (2023), https://doi.org/10.1016/j.jcp.2023.112099.

Tanuma, Kazumi; Xu, Xiang; Nakamura Gen, Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited, Journal of Elasticity, 153 (2023), 423-453, https://doi.org/10.1007/s10659-023-10005-0.

M de Hoop, Maarten V.; Furuya, Takashi; Lin, Ching-Lung; Nakamura, Gen; Vashisth, Manmohan, Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners. Inverse Problems 39 (2023), no. 2, Paper No. 025005, 26 pp.

Eller, Matthias; Honda, Naofumi; Lin, Ching-Lung; Nakamura, Gen, Global unique continuation from the boundary for a system of viscoelasticity with analytic coefficients and a memory term, Inverse Probl. Imaging 16 (2022), no. 6, 1529–1542.

Honda, Naofumi; Lin, Ching-Lung; Nakamura Gen; Sasayama, Satoshi, Unique continuation property of solutions to general second order elliptic systems. J. Inverse Ill-Posed Probl. 30 (2022), no. 1, 5–21.

[ Yasumasa NISHIURA]

Muneyuki Matsuo, Katsunari Yasuda, Kei Nishi, Masakazu Kuze, Hiroyuki Kitahata, Yasumasa Nishiura, and Satoshi Nakata: Originating Point of Traveling Waves on a Spherical Field Dependent on the Nature of Substrate Surface, The Journal of Physical Chemistry C (2023) DOI: 10.1021/acs.jpcc.2c08041

Yasumasa Nishiura, Shuangquan Xie:, Dynamics of N-Spot Rings with Oscillatory Tails in a Three-ComponentReaction-Diffusion System, SIAM J. APPLIED DYNAMICAL SYSTEMS Vol. 21, No. 3, pp. 2268–2296 (2022), https://doi.org/10.1137/22M1492143

Yasumasa Nishiura, Takeshi Watanabe, Traveling pulses with oscillatory tails, figure-eight-like stack of isolas, and dynamics in heterogeneous media, Physica D (2022), https://doi.org/10.1016/j.physd.2022.133448

2021年度

[ Masaharu NAGAYAMA]

Y. Wang, H. Kitahata, H. Kosumi, M. Watanabe, Y. Fujimura, S. Takashima, S.-I. Osada, T. Hirose, W. Nishie, M. Nagayama, H. Shimizu and K. Natsuga*, Collagen XVII deficiency alters epidermal patterning, Laboratory Investigation, (10 February 2022), DOI:https://doi.org/10.1038/s41374-022-00738-2

Y. Yasugahira, M. Nagayama*, On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks, Japan J. Indust. Appl. Math. (17 January 2022), DOI: https://doi.org/10.1007/s13160-021-00498-4

Y. Yasugahira, Y. Tatsumi, O. Yamanaka, H. Nishimori, M. Nagayama* and S. Nakata*, Catch and Release Chemotaxis, ChemSystemChem, (November 2021), DOI: https://doi.org/10.1002/syst.202100031

K. Ohno, Y. Kobayashi, M. Uesaka, T. Gotoda, M. Denda, H. Kosumi, M. Watanabe, K. Natsuga, and M. Nagayama, A Computational Model of the Epidermis With the Deformable Dermis and Its Application to Skin Diseases, Scientific Reports, 11, 13234 (2021), DOI: https://doi.org/10.1038/s41598-021-92540-1

M. Okamoto, T. Gotoda, and M. Nagayama, Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-diffusion system, J. Phys. Commun. 5, 055016(2021), DOI: https://doi.org/10.1088/2399-6528/ac0100

M. Nakatani, Y. Kobayashi, K. Ohno, M. Uesaka, S. Mogami, Z. Zhao, T. Sushida, H. Kitahata, and M. Nagayama, Temporal coherency of mechanical stimuli modulates tactile form perception, Scientific Reports 11, 11737 (2021), DOI: https://doi.org/10.1038/s41598-021-90661-1

Y. Fujimura, M. Watanabe, K. Ohno, Y. Kobayashi, S. Takashima, H. Nakamura, H. Kosumi, Y. Wang, Y. Mai, A. Lauria, V. Proserpio, H. Ujiie, H. Iwata, W. Nishie, M. Nagayama, S. Oliviero, G. Donati, H. Shimizu, and K. Natsuga, Hair follicle stem cell progeny heal blisters while pausing skin development, EMBO Reports, e50882 (2021), DOI: https://doi.org/10.15252/embr.202050882

M. Kim, M. Okamoto, Y. Yasugahira, S. Tanaka, S. Nakata, Y. Kobayashi, M. Nagayama, A reaction-diffusion particle model for clustering of self-propelled oil droplets on a surfactant solution, Physica D 425, 132949 (2021), DOI: https://doi.org/10.1016/j.physd.2021.132949

M. Wang, X. Han, C. Liu, R. Takayama, T. Yasugi, S.-I. Ei, M. Nagayama, Y. Tanaka and M. Sato, Intracellular trafficking of Notch orchestrates temporal dynamics of Notch activity in the fly brain, Nature communications, 12 (1), 1-15 (2021), DOI: https://doi.org/10.1038/s41467-021-22442-3

[Yasuaki KOBAYASHI]

[ Yikan LIU ]

Yavar Kian, Zhiyuan Li, Yikan Liu, Masahiro Yamamoto, The uniqueness of inverse problems for a fractional equation with a single measurement, Mathematische Annalen 380, pages 1465–1495 (2021), DOI: 10.1007/s00208-020-02027-z

Yikan Liu, Guanghui Hu, Masahiro Yamamoto, Inverse moving source problem for time-fractional evolution equations: Determination of profiles, Inverse Problems, 37(8) (2021), DOI: 10.1088/1361-6420/ac0c20

[Yueyuan GAO]

Yueyuan Gao, Danielle Hilhorst, Huy Cuong Vu Do, A Generalized Finite Volume Method for Density Driven Flows in Porous Media, Energies 2021, 14(19), 6151; DOI： 10.3390/en14196151, eISSN : 1996-1073, Sept.2021

[Makoto OKUMURA ]

Makoto Okumura and Takeshi Fukao, A new structure-preserving scheme with the staggered space mesh for the Cahn–Hilliard equation under a dynamic boundary condition, Adv. Math. Sci. Appl., 30 (2021), 347-376.

Chiharu Kosugi, Toyohiko Aiki, Martijn Anthonissen, and Makoto Okumura, Numerical results for ordinary and partial differential equations describing motions of elastic materials, Adv. Math. Sci. Appl., 30 (2021), 387-414.

Makoto Okumura, Takeshi Fukao, Daisuke Furihata, and Shuji Yoshikawa, A second-order accurate structure-preserving scheme for the Cahn–Hilliard equation with a dynamic boundary condition, Commun. Pure Appl. Anal., 21 (2022), 355-392.

[Gen NAKAMURA]

Jiang, Yu; Nakamura Gen; Shirota, Kenji, Levenberg-Marquardt method for solving inverse problem of MRE based on the modified stationary Stokes system. Inverse Problems 37 (2021), no. 12, Paper No. 125013, 30 pp.

Lin, Ching-Lung; Nakamura Gen, Classical unique continuation property for multi-term time-fractional evolution equations, Math. Annal., (2021) published online, https://doi.org/10.1007/s00208-021-02341-0

Gao, Hongjun; Fan, Jishan; Nakamura Gen, Weak-very weak uniqueness to the time-dependent Ginzburg-Landau model for superconductivity in Rn. Results Appl. Math. 12 (2021), 100183, 6 pp.

Fan, Jishan; Hu, Yuxi; Nakamura Gen, Local well-posedness for an isentropic compressible Ginzburg-Landau-Navier-Stokes with vacuum. Math. Nachr. 294 (2021), no. 5, 862–876.

de Hoop Maarten, Lin Ching-Lung, Nakamura Gen, Holmgren-John unique continuation theorem for viscoelastic systems, “Time-Dependent Problems” of Springer book series NA, (2021) 287-301.

Lin, Yi-Hsuan; Nakamura, Gen; Potthast, Roland; Wang, Haibing, Duality between range and no-response tests and its application for inverse problems. Inverse Probl. Imaging 15 (2021), no. 2, 367–386.

[ Yasumasa NISHIURA]

Yasumasa Nishiura, Hiromasa Suzuki, Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system, Journal of Differential Equations 303 (2021) 482-546, https://doi.org/10.1016/j.jde.2021.09.026

Zhen Xu , Yucen Han, Jianyuan Yin, Bing Yu , Yasumasa Nishiura, Lei Zhang, Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement, PHYSICAL REVIEW E 104, 014505 (2021), https://doi.org/10.1103/PhysRevE.104.014505

Shuangquan Xie, Theodore Kolokolnikov, Yasumasa Nishiura, Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system, Nonlinearity 34 (2021) 5708–5743, https://doi.org/10.1088/1361-6544/ac0d46

2020年度

[ Masaharu NAGAYAMA]

Junichi Kumamoto, Koji Fujimoto, Yasuaki Kobayashi, Kota Ohno, Masaharu Nagayama, Mitsuhiro Denda, Substrate membrane bearing close-packed array of micron-level pillars incrassates air-exposed three-dimensional epidermal equivalent model, Skin Research and Technology, (2021), https://doi.org/10.1111/srt.13035

Masaaki Uesaka, Ken-Ichi Nakamura, Keiichi Ueda and Masaharu Nagayama, Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term, Physica D(2021), DOI: 10.1016/j.physd.2020.132812

Shinpei Tanaka, Satoshi Nakata, Masaharu Nagayama, A surfactant reaction model for the reciprocating motion of a self-propelled droplet, Soft Matter, 17, 388-396(2020, October), DOI: 10.1039/d0sm01500h

J. Fan, M. Nagayama, G. Nakamura, M. Okamoto, A weak solution for a point mass camphor motion, Differential Integral Equations 33 (2020), no. 7-8, 431–443.

Okamoto, T. Gotoda, M. Nagayama,Existence and non‑existence of asymmetrically rotating solutions to a mathematical model of self‑propelled motion,Japan Hournal of Industrial and Applied Matehmatics, No.37巻3号,P883-P912, DOI 10.1007/s13160-020-00427-x,(2020.9)

Hirose, Y. Yasugahira, M. Okamoto, Y. Koyano, H. Kitahata, M. Nagayama,Y. Sumino, Two floating camphor particles interacting through the lateral capillary force, Journal of the physical Society of Japan, 89,074004,DOI:https://journals.jps.jp/doi/10.7566/-JPSJ.89.074004.(2020,5)

[Yasuaki KOBAYASHI]

Junichi Kumamoto, Koji Fujimoto, Yasuaki Kobayashi, Kota Ohno, Masaharu Nagayama, Mitsuhiro Denda, Substrate membrane bearing close-packed array of micron-level pillars incrassates air-exposed three-dimensional epidermal equivalent model, Skin Research and Technology, (2021), https://doi.org/10.1111/srt.13035

[ Yikan LIU ]

D. Jiang, Y. Liu and D. Wang, Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation, Adv. Comput. Math., 46(3), 2020, Article 43, DOI: 10.1007/s10444-020-09754-6

Z. Li, X. Cheng and Y. Liu, Generic well-posedness for an inverse source problem for a multi-term time-fractional diffusion equation, Taiwanese J. Math., 24(4), 2020, 1005-1020, DOI: 10.11650/tjm/191103

[Gen NAKAMURA]

G. Nakamura, M. Vashisth, M. Watanabe, Inverse boundary value problem for a non-linear hyperbolic partial differential equation (to appear in Inverse Problems).

Lin, Ching-Lung; Lin, Liren; Nakamura, Gen, Born approximation and sequence for hyperbolic equations. Asymptot, Anal. 121 (2021), no. 2, 101–123.

Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki, Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation, Inverse Problems 37 (2021), no. 1, 015012, 27 pp.

Fan, Jishan; Li, Fucai; Nakamura, Gen, Uniform regularity of the compressible full Navier-Stokes-Maxwell system. Z. Angew. Math. Phys. 72 (2021), no. 1, Paper No. 3, 10 pp.

Jiang Yu; Nakamura, Gen; Wang Haibing, Locating small inclusions in diffuse optical tomography by a direct imaging method, IMA J. Appl. Math. 85 (2020), 840-864.

Nakamrua, Gen; Tanuma, Kazumi, Xu Xian,On the Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media, Mathematical Analysis of Continuum Mechanics and Industrial Applications III, Proceedings of the International Conference CoMFoS18 (2020), 67-79

J. Fan, Y. Hu, G. Nakamura, Local existence for an isentropic compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics. Bull. Korean Math. Soc. 57 (2020), no. 4, 921–932.

J.Fan, G. Nakamura, T. Tang, Uniform regularity for a two-phase model with magneto field and a related system, J. Math. Phys. 61 (2020), no. 7, 071508, 10 pp. 7

J. Fan, M. Nagayama, G. Nakamura, M. Okamoto, A weak solution for a point mass camphor motion, Differential Integral Equations 33 (2020), no. 7-8, 431–443.

J. Fan, L. Jing, G. Nakamura, T. Tang, Regularity criteria for a density-dependent incompressible Ginzburg-Landau-Navier-Stokes system in a bounded domain, Ann. Polon. Math. 125 (2020), no. 1, 47–57.

J. Fan, L. Jing, G. Nakamura, K. Zhao, Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion, Commun. Math. Sci. 18 (2020), no. 3, 809–836.

J. Fan, L. Jing, G. Nakamura, T. Tang, A note on a non-isothermal model for superconductivity, Bull. Malays. Math. Sci. Soc. 43 (2020), no. 4, 3027–3034.

Y. Jiang, J. Fan, S. Nagayasu, G. Nakamura, Local solvability of an inverse problem to the Navier-Stokes equation with memory term, Inverse Problems 36 (2020), no. 6, 065007, 14 pp.

T. Li, S. Kabanikhin, G. Nakamura, F. Wang, D. Xu, An inverse problem of triple-thickness parameters determination for thermal protective clothing with Stephan-Boltzmann interface conditions. J. Inverse Ill-Posed Probl. 28 (2020), no. 3, 411–424.

J. Fan, L. Jing, G. Nakamura, T. Tang, Local well-posedness of the isentropic Navier-Stokes-Maxwell system with vacuum, Math. Methods Appl. Sci. 43 (2020), no. 8, 5357–5368.

C. Cârstea, G. Nakamura, L. Oksanen, Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain, Trans. Amer. Math. Soc. 373 (2020), no. 5, 3423–3443.

M. Machida, G. Nakamura, Born series for the photon diffusion equation perturbing the Robin boundary condition, J. Math. Phys. 61 (2020), no. 1, 013502, 17 pp.

C. Sun, G. Nakamura, G. Nishimura, Y. Jiang, J. Liu, M. Machida, Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target, J. Optical Society of America A, 37 (2020), no. 2, 231-239.

J. Fan, J. Sun, T. Tang, G. Nakamura, Global small solutions of the compressible nematic liquid crystal flow in a bounded domain, Ann. Polon. Math. 124 (2020), no. 1, 47–59.

Y. Jiang, G. Nakamura, H. Wang, Locating small inclusions in diffuse optical tomography by a direct imaging method, IMA J. Appl. Math. 85 (2020), 840-864.

Y-H. Lin, G. Nakamura, R. Potthast, H. Wang, Duality between range and no-response tests and its application for inverse problems, Inverse Problems and Imaging, doi:10.3934/ipi.2020072.

J.Liu, M. Machida, G. Nakamura, G. Nishimura, C. Sun, On fluorescence imaging: diffusion equation model and recovery of absorption coefficient of fluorophore (to appear in Science China Mathematics).

[ Yasumasa NISHIURA]

Yasumasa Nishiura and Hiromasa Suzuki: 　Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion systems， arXiv:2101.03311 [math.AP] http://arxiv.org/abs/2101.03311

Kei-Ichi Ueda, Yasumasa Nishiura, Keiichi Kitajo:, Mathematical mechanism of state-dependent phase resetting properties of alpha rhythm in the human brain, Neuroscience Research, 4387, 1-13, 2020, DOI: 10.1016/j.neures.2020.03.007

Nishiura, Yasumasa: Mathematics of the commons , Science Impact Ltd, Volume 2020, Number 4, October 2020, pp. 9-11(3), DOI: https://doi.org/10.21820/23987073.2020.4.9

Edgar Avalos, Kazuto Akagi, Yasumasa Nishiura: Visible fingerprint of X-ray images of epoxy resins using singular value decomposition of deep learning features, Computational Materials Science, Volume 186, January 2021, 109996, https://doi.org/10.1016/j.commatsci.2020.109996

Edgar Avalos, Shuangquan Xie, Kazuto Akagi, Yasumasa Nishiura: Bridging a mesoscopic inhomogeneity to macroscopic performance of amorphous materials in the framework of the phase field modeling, Physica D: Nonlinear Phenomena, Vol. 409, 132470, 2020, DOI: https://doi.org/10.1016/j.physd.2020.132470

[Kota OHNO]

Junichi Kumamoto, Koji Fujimoto, Yasuaki Kobayashi, Kota Ohno, Masaharu Nagayama, Mitsuhiro Denda, Substrate membrane bearing close-packed array of micron-level pillars incrassates air-exposed three-dimensional epidermal equivalent model, Skin Research and Technology, (2021), https://doi.org/10.1111/srt.13035

2019年度

[ Masaharu NAGAYAMA]

Sari Ipponjima, Yuki Umino, Masaharu Nagayama, Mitsuhiro Denda, Live imaging of alterations in cellular morphology and organelles during cornification using an epidermal equivalent model, Scientific Reports 10, Article number: 5515(2020) Open Access, Published 26 March 2020.

K. Ikeda, S-.I. Ei, M.Nagayama, M. Okamoto and A. Tomoeda, Reduced model of a reaction-diffusion system for the collective motion of camphor boats, Physical Review E 99, 062208, (2019)

[ Yikan LIU ]

J.Cheng, Y.Liu, Y.Wang, M.Yamamoto, Unique continuation property with partial information for two-dimensional anisotropic elasticity systems, Acta Math. Appl. Sinica,　36(1), 2020, 3–17.

Guanghui Hu, Yikan Liu and Masahiro Yamamoto, Inverse moving source problems for fractional diffusion(-wave) equations: Determination of orbits, in: J. Cheng et al. (eds.), Inverse Problems and Related Topics, Springer Proceedings in Mathematics & Statistics 310, Springer, Singapore, 2020, 81–100.

[Gen Nakamura]

Y. Jiang, Y. Hoshi, M. Machida, G. Nakamura, A hybrid inversion scheme combining Markov-chain Monte Carlo and iterative methods for determining optical properties of random media, Applied Sciences. 9 (2019), 3500; doi:10.3390/app9173500

C-L. Lin, G. Nakamura, Unique continuation property for multi-terms time fractional diffusion equations, Math. Ann. 373 (2019), no. 3-4, 929–952.

J.Eom, G. Nakamura, Completeness of representation of solutions for stationary homogeneous istroptic elastic-viscoelastic systems, Quart. Appl. Math. 77 (2019), no. 3, 497–506.

C.Cârstea, G. Nakamura, M. Manmohan, Reconstruction for the coefficients of a quasilinear elliptic partial differential equation, Appl. Math. Lett. 98 (2019), 121–127.

G. Nakamura, H. Wang, Solvability of interior transmission problem for the diffusion equation by constructing its Green function, J. Inverse Ill-Posed Probl. 27 (2019), no. 5, 671–701.

G.Nakamura, K. Tanuma and X. Xu, On the perturbation of Bleustein-Gulyaev waves in piezoelectric media, Mathematical Analysis of Continuum Mechanics and Industrial Applications III- Proceedings of the international conference CoMFoS18

Hiromichi Itou, Shiro Hirano, Masato Kimura, Victor A. Kovtunenko,Alexandr. M. Khludnev, R. Kuan, G. Nakamura, S. Satoshi, Strong unique continuation for two-dimensional anisotropic elliptic systems. Proc, Amer. Math. Soc. 147 (2019), no. 5, 2171–2183.

Y. Jiang, G. Nakamura, Convergence of Levenberg–Marquardt method for the inverse problem with an interior measurement, J. Inverse Ill-Posed Probl. 27 (2019), no. 2, 195–215.

2018年度

[Masaharu NAGAYAMA]

Y. Kobayashi, Y. Yasugahira, H. Kitahata, M. Watanabe, K. Natsuga, M. Nagayama, Interplay between epidermal stem cell dynamics and dermal deformations, npj Computational Materials 4(45),10.1038/s41524-018-0101-z, (2018 August)

J. Kumamoto, S. Nakanishi, M. Uesaka, Y. Yasugahira, Y. Kobayashi, M. Nagayama, S. Denda, M. Denda, Mathematical-model-guided development of full-thickness epidermal equivalent, Sci Rep 8, 17999, 10.1038/s41598-018-36647-y.(2018)

[Masaaki Uesaka]

J. Kumamoto, S. Nakanishi, M. Uesaka, Y. Yasugahira, Y. Kobayashi, M. Nagayama, S. Denda, M. Denda, Mathematical-model-guided development of full-thickness epidermal equivalent, Sci Rep 8, 17999, 10.1038/s41598-018-36647-y.(2018)

2017年度

[ Masaharu NAGAYAMA]

J.Kumamoto, M. Goto, M. Nagayama and M. Denda, Real-time imaging of human epidermal calcium dynamics in response to point laser stimulation, Journal of Dermatological Science, DOI: 10.1016/j.jdermsci.2017.01.002.

[Masakazu Akiyama]

K. Matsuda, H. Gotoh, Y. Tajika, T. Sushida, H. Aonuma, T. Niimi, M. Akiyama, Y. Inoue, S. Kondo, Complex furrows in a 2D epithelial sheet code the 3D structure of a beetle horn, Sci. Rep., 7, 13939 (2017)

M. Akiyama, T. Sushida, S. Ishida, H. Haga, Mathematical model of collective cell migrations based one cell polarity, Dev., Growth Differ., 59(5), 471-490 (2017).

M.Akiyama, A.Tero, M.Kawasaki, Y.Nishiura, Y.Yamaguchi, Theta-alpha EEG phase distributions in the frontal area for dissociation of visual and auditory working memory, Scientific Reports 7, Article number: 42776 (2017),DOI:10.1038/srep42776

[Takamichi Sushida]

M. Akiyama, T. Sushida, S. Ishida, H. Haga, Mathematical model of collective cell migrations based one cell polarity, Dev., Growth Differ., 59(5), 471-490 (2017).

2016年度

[Masaharu NAGAYAMA]

M. Sato, T. Yasugi, Y. Minami, T. Miura and M. Nagayama, Notch-mediated lateral inhibition regulates proneural wave propagation when combined with EGF-mediated reaction diffusion, PNAS 113, 35(2016), DOI: 10.1073/pnas.1602739113.

K. Nagai, K. Tachibana, Y. Tobe, M. Kazama, H. Kitahata, S. Omata and M. Nagayama, Mathematical model for self-propelled droplets driven by interfacial tension, to appear in Journal of Chemical Physics, 144, 114707 (2016), DOI: 10.1063/1.4943582.

Y. Kobayashi, Y. Sawabu, H. Kitahata, M. Denda, M. Nagayama, Mathematical model for calcium-assisted epidermal homeostasis, Journal of Theoretical Biology, doi:10.1016/j.jtbi.2016.02.032.

K. Takei , S. Denda, M. Nagayama, M.Denda, Role of STIM1-Orai1 system in intracellular calcium elevation induced by ATP in cultured human keratinocytes, Exp Dermatol (2016), DOI: 10.1111/exd.12928

[Masakazu Akiyama]

Itsuki Kunita, Tatsuya Yamaguchi, Atsushi Tero, Masakazu Akiyama, Shigeru Kuroda, Toshiyuki Nakagaki, A ciliate memorizes the geometry of a swimming arena, J R Soc Interface, Number of 13s, (2016). DOI: 10.1098/rsif.2016.0155

2015年度

[Masaharu NAGAYAMA]

J. Kumamoto, M.Tsutsumi, M.Goto, M.Nagayama and M.Denda, Japanese Cedar (Cryptomeria japonica) pollen allergen induces elevation of intracellular calcium in human keratinocytes and impairs epidermal barrier function of human skin ex vivo, Arch Dermatol Res, (2015), DOI: 10.1007/s00403-015-1602-y

Y. Kobayashi, H. Kitahata, and M. Nagayama, Model for calcium-mediated reduction of structural fluctuations in epidermis, Physical Review E 92(2015), 022709, DOI: http://dx.doi.org/10.1103/PhysRevE.92.022709

T. Mori, K. Kuto, M. Nagayama, T. Tsujikawa, S. Yotsutani, Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for call ploarization, Dynamical Systems, Differential Equations and Applications AIMS Proceedings, (2015), 861- 877, DOI:10.3934/proc.2015.0861

J. Kumamoto, H. Kitahata, M. Goto, M. Nagayama and M. Denda, Effects of medium flow on axon growth with or without nerve growth factor, Biochemical and Biophysical Research Communications, DOI:10.1016/j.bbrc.2015.07.104.

K. Nishi, T. Ueda, M. Yoshii, Y. S. Ikura, H. Nishimori, S. Nakata and M. Nagayama, Bifurcation phenomena of two self-propelled camphor disks on an annular field depending on system length, Phys.Rev.E 92(2015), 022910, DOI: http://dx.doi.org/10.1103/PhysRevE.92.022910

M. Tsutsumi, H. Kitahata, M. Fukuda, J. Kumamoto, M. Goto, S. Denda, K. Yamasaki, S. Aiba, M. Nagayama and M. Denda, Numerical and comparative three-dimensional structural analysis of peripheral nerve fibers in epidermis of atopic dermatitis patients, British Journal of Dermatology, (2015), DOI: 10.1111/bjd.13974.

M. Tsutsumi, M. Fukuda, J. Kumamoto, M. Goto, S. Denda, K. Yamasaki, S. Aiba, M. Nagayama and M. Denda, Abnormal Morphology of Blood Vessels in Erythematous Skin From Atopic Dermatitis Patients, The American journal of dermatopathology, 38(5), 363-364, (2016), DOI: 10.1097/DAD.0000000000000373

S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, Reduced model from a reaction-diffusion system of collective motion of camphor boats, Discrete and Continuous Dynamical Systems Series-S, 8(5)(2015), 847–856. DOI: 10.3934/dcdss.2015.8.847

S. Nakata, M. Nagayama, H. Kitahata, N. J. Suematsu and T. Hasegawa, Physicochemical design and analysis of self-propelled objects that are characteristically sensitive to interfacial environments, Physical Chemistry Chemical Physics, 16(2015), 10326-10338. DOI : 10.1039/C5CP00541H

[Yasuaki KOBAYASHI]

2014年度

[Masaharu NAGAYAMA]

S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, Appilcation of a center maifold theory to a reaction-diffusion system of collective motion of camphor disks and boats, Mathematica Bohemica 139(2)(2014), 363-371.

Y. Kobayashi, Y. Sanno, A. Sakai, Y. Sawabu, M. Tsutsumi, M. Goto, H. Kitahata, S. Nakata, J. Kumamoto, M. Denda, M. Nagayama, Mathematical modeling of calcium waves induced by mechanical stimulation in keratinocytes , PLoS ONE 9(3)(2014): e92650. DOI : 10.1371/journal.pone.0092650

K. Iida, H. Kitahata and M. Nagayama, Theoretical study on the translation and rotation of an elliptic camphor particle, Physica D, 272(2014), 39-50, DOI: 10.1016/j.physd.2014.01.005

M. Denda, S. Denda, M. Tsutsumi, M. Goto, J. Kumamoto, M. Nakatani, K. Takei, H. Kitahata, S. Nakata, Y. Sawabu, Y. Kobayashi, M. Nagayama, Frontiers in epidermal barrier homeostasis – an approach to mathematical modeling of epidermal calcium dynamics, Experimental Dermatology, 23(2014), 79-82, DOI : 10.1111/exd.12302.

S. Nakata, T. Miyaji T. Ueda, T. Sato, Y. S. Ikura, S. Izumi and M. Nagayama, Reciprocating motion of a self-propelled object on a molecular layer with a local minimum and a local maximum isotherm, Journal of Physical Chemistry C, 117(12)(2013) 6346-6352, DOI: 10.1021/jp400971h

T. Hirashima, Y. Hosokawa, T. Iino and M. Nagayama, On Fundamental Cellular Processes for Emergence of Collective Epithelial Movement, Biology Open, 2(7)2013, 660-666, DOI: 10.1242/bio.20134523

H. Kitahata, K. Iida and M. Nagayama, Spontaneous motion of an elliptic camphor particle, Physical Review E, 87(2013)010901, DOI:10.1103/PhysRevE.83.056207.

[Yasuaki KOBAYASHI]

Y. Kobayashi, Y. Sanno, A. Sakai, Y. Sawabu, M. Tsutsumi, M. Goto, H. Kitahata, S. Nakata, J. Kumamoto, M. Denda, M. Nagayama, Mathematical modeling of calcium waves induced by mechanical stimulation in keratinocytes, PLoS ONE 9(3)(2014): e92650. DOI : 10.1371/journal.pone.0092650

● Submitted Papers

■ Proceedings, Reports, etc.
● Proceedings

Giuseppe Floridia, Yikan Liu and Masahiro Yamamoto, Blow-up in L¹(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms, submitted. arXiv: 2302.12724

Siyu Cen, Bangti, Jin, Yikan Liu and Zhi Zhou, Numerical recovery of multiple parameters in subdiffusion from one lateral boundary measurement, submitted, 2023.

大野航太，小林康明，熊本淳一，傳田光洋，長山雅晴，”表皮構造の数理モデルにおける基底膜形状と培養皮膚への応用”，計算工学講演会論文集, 26 (2021)

小林康明，大野航太，長山雅晴，”真皮の塑性変形と形態形成の数理モデル構築”，計算工学講演会論文集26(2021)

大野航太，小林康明，後藤田剛，上坂正晃，安ケ平祐介，北畑裕之，傳田光洋，長山雅晴，”表皮構造の数理モデルを用いた皮膚疾患への応用”，計算工学講演会論文集，25（2020）

上坂正晃，後藤田剛，一本嶋佐理，北畑裕之，小林康明，安ヶ平裕介，傳田光洋，長山雅晴, “表皮構造の数理モデルにおける細胞の扁平化と細胞の多面体形状について“, 計算工学講演会論文集，24(2019)

後藤田剛，上坂正晃，安ヶ平祐介，小林康明，北畑裕之，傳田光洋，長山雅晴, ” 表皮数理モデルにおける皮膚バリア機能の恒常性“, 計算工学講演会論文集，24(2019)

後藤田剛，上坂正晃，安ヶ平裕介，小林康明，北畑裕之，傳田光洋，長山雅晴，“表皮における顆粒層の安定化とタイトジャンクション形成の数理モデリング”，計算工学講演会論文集，23(2018)

長山雅晴、”数学通信”，現象の数理モデリング〜化学反応モデルを中心に〜，pp5-12

Takamichi Sushida, Masakazu Akiyama, ” A mathematical model of cell polarity and cell migration“, Mechanisms of Development , Volume 145, Supplement, July 2017, Pages S41 ,(2017)

秋山正和,　須志田隆道, “細胞極性に着目した細胞群の運動モデル”, 　計算工学講演会論文集, (2017)

長山雅晴，小林康明，熊本淳一，傳田光洋，北畑裕之，中田聡，”真皮形状を伴う表皮構造の数理モデリング”，計算工学講演会論文集，21(2016)

小林康明，北畑裕之，長山雅晴，”表皮の連続体モデルによる真皮形状と角層形状についての解析“，計算工学講演会論文集，20(2015)

長山雅晴，小林康明，澤武裕輔，久保田実沙貴，傳田光洋，北畑裕之，中田聡，”真皮形状を考慮した皮膚構造の数理モデリング”，計算工学講演会論文集，20(2015)

長山雅晴，小林康明，熊本淳一，澤武裕輔，傳田光洋，中田聡，北畑裕之，”表皮構造の数理モデリング”，マス・フォア・インダストリー研究，3(2015)17-25.

Yasuaki Kobayashi, Yusuke Sawabu, Satoshi Ota and Masaharu Nagayama, “Mathematical model for epidermal homeostasis“, Mathematical Progress in Expressive Image Synthesis II: Proceedings of the Symposium 2014, Mathematics for Industry 18( H. Ochiai, K. Anjyo Eds.) , 119-124(2015), Springer.（査読付き）

Yasuaki Kobayashi and Masaharu Nagayama, “Mathematical model of epidermal structure“, Applications + Practical Conceptualization + Mathematics = fruitful Innovation: Proceedings of the Forum of Mathematics for Industry 2014, Mathematics for Industry 11(R.S. Anderssen et al. Eds.), 121-126(2015), Springer.（査読付き）

長山雅晴，若井健，小林康明，西慧，井倉 S. 弓彦，中田聡，”樟脳円盤の集団運動に対する計算機援用解析”，計算工学講演会論文集，19(2014)

長山雅晴，小林康明，澤武裕輔，中田聡，北畑裕之，後藤真紀子，堤も絵，傳田光洋，”表皮構造の数理モデル“，計算工学講演会論文集，18(2013).

飯田渓太，北畑裕之，長山雅晴，”樟脳粒の自発運動：粒子形状と運動の関係について“，計算工学講演会論文集，18(2013).

長山雅晴，安宅正，”樟脳船運動に現れる渋滞現象について”，計算工学講演会論文集，17(2012).

飯田渓太，北畑裕之，長山雅晴，”Numerical simulation of camphor motions at the air-water interface”，計算工学講演会論文集，17(2012).

●RIMS Kokyuroku (講究録)

劉逸侃, 時間非整数階拡散方程式とその逆問題について, 数理解析研究所講究録, 2232, 2022, 50–65.

Y. Liu, “Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations”, RIMS講究録, 2174, 2021, 73–87.

小林康明, “ノイズのある結合振動子系の位相スリップ“, 京都大学数理解析研究所講究録, 2063 (2018) 1-6

須志田隆道,　秋山正和,　”集団細胞遊走を表現する自己駆動粒子モデル“,　ＲＩＭＳ講究録,　（2017）

長山雅晴，小林康明，澤武祐輔，久保実沙貴，傳田光洋，中田聡，北畑裕之，”表皮構造の数理モデル，京都大学数理解析研究所講究録”，1957(2015)155ｰ168．