Papers
Research topic１: Mechanism of the pattern formation in phyllotaxis
（Peer reviewed）Yoshitaro Tanaka, Masayasu Mimura, Hirokazu Ninomiya: “ A reaction diffusion model for understanding phyllotactic formation”, Japan Journal of Industrial and Applied Mathematics, Springer, 33, pp183-205 (2016)
（No peer reviewed） 田中吉太郎，三村昌泰，反応拡散系モデルによるひまわりの花序形成，形の科学会誌，第26巻 2号，pp207-208，(2011)
Research topic ２：Pattern formations through nonlocal interactions and its reaction-diffusion approximation
（No peer reviewed） 田中吉太郎，Reaction-diffusion approximation for understanding pattern formations through non-local interactions, 数理解析研究所講究録2166 第16回生物数学の理論とその応用ー生命現象の定量的理解に向けてー2020年7月
（Peer reviewed）Hirokazu Ninomiya, Yoshitaro Tanaka, Hiroko Yamamoto, Reaction-diffusion approximation of nonlocal interactions using Jacobi polynomials, Japan Journal of Industrial and Applied Mathematics, Springer 35(2), pp 613–651 (2018)
（Peer reviewed，Invited paper）Yoshitaro Tanaka, Hiroko Yamamoto, Hirokazu Ninomiya, Mathematical approach to nonlocal interactions using a reaction-diffusion system, Development Growth and Differentiation, 59, a special issue: Mathematics, Physics, and Engineering in Biology, pp 388-395 (2017)
（Peer reviewed）Hirokazu Ninomiya, Yoshitaro Tanaka, Hiroko Yamamoto, Reaction, diffusion and non-local interaction, Journal of Mathematical Biology, Springer, 75, pp1203–1233 (2017)
（No peer reviewed） 田中吉太郎，二宮広和，山本宏子，非局所発展方程式の反応拡散近似，第13回数学総合若手研究集会 Hokkaido university technical report series in mathematics, 168, pp65-74 (2017)
Research topic 3：Mechanism for the propagation of wave differentiation observed in the brain of Drosophila
(Peer reviewed) Miaoxing Wang, Xujun Han, Chuyan Liu, Rie Takayama, Tetsuo Yasugi, Shin-Ichiro Ei, Masaharu Nagayama, Yoshitaro Tanaka, Makoto Sato, Intracellular trafficking of Notch orchestrates temporal dynamics of Notch activity in the fly brain, Nature Communications, 12:2083 (2021)
(Peer reviewed) Yoshitaro Tanaka, Tetsuo Yasugi, Mathematical Modeling and Experimental Verification of the Proneural Wave, Springer Proceedings in Mathematics and Statistics, 370, pp50-68 (2021)
（Peer reviewed）Yoshitaro Tanaka, Tetsuo Yasugi, Masaharu Nagayama, Makoto Sato, Shin-Ichiro Ei, JAK/STAT guarantees robust neural stem cell differentiation by shutting off biological noise, Scientific Reports, 8:12484 (2018)
（No peer reviewed）田中吉太郎，八杉徹雄，佐藤純，栄伸一郎，分化の波に対する数理モデルの連続化と Planar 進行波解への数理解析，第14回数学総合若手研究集会 Hokkaido university technical report series in mathematics, 173, pp447-456 (2018)
（No peer reviewed）田中吉太郎，八杉徹雄，佐藤純，長山雅晴，栄伸一郎, 分化の波のノイズ抑制機構に対する数理モデリングと実験からのアプローチ, 計算工学講演会論文集 Vol. 22 (2017年 5 月)
Research topic 4：Continuation method by nonlocal interactions and its applications
(Peer reviewed，Invited paper)田中吉太郎，八杉徹雄，格子や細胞の形状を保存する空間離散モデルの連続化法と応用，日本応用数理学会誌「応用数理」，第33巻2号(2023)
（Peer reviewed）Shin-Ichiro Ei, Hiroshi Ishii, Makoto Sato, Yoshitaro Tanaka, Miaoxing Wang, Tetsuo Yasugi, A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices, Journal of Mathematical Biology, Springer, 81, pp981–1028 (2020)
Research topic 5：Reduction method for reaction-diffusion network by Effective nonlocal kernel
（Peer reviewed）Shin-Ichiro Ei, Hiroshi Ishii, Shigeru Kondo, Takashi Miura, Yoshitaro Tanaka, Effective nonlocal kernels on Reaction-diffusion networks, Journal of Theoretical Biology, 509, 110496 (2021)
Research topic 6：Numerical analysis for the method of fundamental solutions
（Peer reviewed）Shin-Ichiro Ei, Hiroyuki Ochiai, Yoshitaro Tanaka, Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains, Journal of Computational and Applied Mathematics, 402, 113795 (2022)
Research topic 7：Mathematical modeling for the reservoir computing driven by chemical reaction
（No peer reviewed）豊田 和人，香取勇一，櫻沢繁，高木清二，田中吉太郎，Belousov-Zhabotinsky反応を用いたレザバー計算の提案とシミュレーション，Hokkaido University technical report series in Mathematics, 182, pp637-646 (2022)
Research topic 8：Mathematical analysis for pattern formations on lattices
（No peer reviewed）南彩菜，田中 吉太郎，一様格子上の空間離散モデルにおけるパターン形成，Hokkaido University technical report series in Mathematics, 182, pp777-786 (2022)
Research topic 9：Stationary solution for the reaction-diffusion system with mass conservations
（Peer reviewed）Yoshihisa Morita, Yoshitaro Tanaka, Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model, Japan Journal of Industrial and Applied Mathematics, Springer, 41, pp681-722 (2024)