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)

Research topic ２：Pattern formations through nonlocal interactions and its reaction-diffusion approximation

• （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)

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)

Research topic 4：Continuation method by nonlocal interactions and its applications

• （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 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)

Research topic 10:Keller-Segel type approximation for advective nonlocal interactions

• （Peer reviewed）Hideki Murakawa, Yoshitaro Tanaka, Keller-Segel type approximation for nonlocal Fokker-Planck equations in one-dimensional bounded domain, European Journal of Applied Mathematics (2025), 1–37