教員一覧 List of faculty members

田中 吉太郎 准教授

TANAKA, Yoshitaro Associate Professor

Research Contents

I am interested in the various patterns observed in nature, and I have studied the mechanisms and mathematical structures behind the phenomena. Motivated by the mechanisms, I have constructed mathematical models, and analyzed them mathematically. In our study, we focus on the pattern formation in animal skins, the geometrical patterns in plants, and the developments of the biological organs. I mainly treat the reaction diffusion systems and nonlocal evolution equations.

Achievements

Awards

• The JSIAM Best Author Award (Paper section), in September 2024 (HP)
• The 2020 MSJ Prize for Excellent Young Applied Mathematician, in March 2021 (HP)
• First place, The 11th AIMS Conference Student Paper Competition, in Florida, July 2016
• Finalist, The 10th AIMS Conference Student Paper Competition, in Madrid, July 2014,
• Excellent poster award, MIMS symposium in Meiji university, in Japan, October 2011,
• Best poster award, The 21th Japan Society for Mathematical Biology, in Japan, September in 2011

Major Books and Papers

• S.-I. Ei, H. Ochiai, Y. 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)
• S.-I. Ei, H. Ishii, S. Kondo, T. Miura, Y. Tanaka, Effective nonlocal kernels on Reaction-diffusion networks, Journal of Theoretical Biology, 509, 110496 (2021)
• S.-I. Ei, H. Ishii, M. Sato, Y. Tanaka, M. Wang, T. 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)
• H. Ninomiya, Y. Tanaka, H. Yamamoto, Reaction-diffusion approximation of nonlocal interactions using Jacobi polynomials, accepted in Japan Journal of Industrial and Applied Mathematics, Springer, (2017)
• Y. Tanaka, H. Yamamoto, H. 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)
• H. Ninomiya, Y. Tanaka, H. Yamamoto, Reaction, diffusion and non-local interaction, J. Math. Biol., Springer, 75, 1203–1233 (2017)
• Tanaka, Y, Mimura, M, Ninomiya, H: “ A reaction diffusion model for understanding phyllotactic formation”, Japan Journal of Industrial and Applied Mathematics, Springer, 33, pp183-205 (2016)